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1PAGE 1 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
* * * * * S O U R C E L I S T I N G * * * * *
0001 TITLE HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION
0002 * EULER
0003 * DOC
0004 * CHECK
0005 NOTE
0006 NOTE MACRO PART OF MODEL
0007 NOTE
0008 C PI=3.14159 CONSTANT PI
PI - CONSTANT PI
0009 NOTE
0010 NOTE VARIABLE SET UP TO KEEP TIME
0011 NOTE
0012 A A1TIME.K=TIME.K TIME FOR 1ST 24 HOURS HOURS
A1TIME - TIME FOR 1ST 24 HOURS HOURS
0013 A A2TIME.K=TIME.K-24 TIME FOR 2ND 24 HOURS HOURS
A2TIME - TIME FOR 2ND 24 HOURS HOURS
0014 A ATIME.K=CLIP(A2TIME.K,A1TIME.K,TIME.K,24) TIME USED IN ANALYSIS HOURS
ATIME - TIME USED IN ANALYSIS
A2TIME - TIME FOR 2ND 24 HOURS HOURS
A1TIME - TIME FOR 1ST 24 HOURS HOURS
0015 NOTE
0016 NOTE
0017 NOTE
0018 NOTE USER SPECIFIED INPUT
0019 NOTE
0020 NOTE GENERAL INPUT -- LOCATION,WEATHER DATA,DAY
0021 NOTE
0022 C DTK=.7 TIME STEP OF THE SIMULATION (DT ON SPEC) HOURS
DTK - TIME STEP OF THE SIMULATION (DT ON SPEC) HOURS
0023 C DAY=195 DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0024 C BAROP=29.21 BAROMETRIC PRESSURE INCHES OF MERCURY
BAROP - BAROMETRIC PRESSURE INCHES OF MERCURY
0025 C LATTUD=.72 LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
0026 C ROTATN=0.0 ROTATN OF N-S FROM NORMAL RADIANS
ROTATN - ROTATN OF N-S FROM NORMAL RADIANS
1PAGE 2 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0027 C TILT=0.0 TILT TAKEN FROM THE NORMAL RADIANS
TILT - TILT TAKEN FROM THE NORMAL RADIANS
0028 C QMAX=270 MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2
QMAX - MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2
0029 C WINDI=10560 INSIDE AVERAGE WIND VELOCITY FPH (MPH*5280)
WINDI - INSIDE AVERAGE WIND VELOCITY FPH (MPH*5280)
0030 C WINDO=52800 OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280)
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0031 C LENGTH=30 EITHER HIGHT OF SURFACE OR DISTANCE IN WIND[FEET
LENGTH - EITHER HIGHT OF SURFACE OR DISTANCE IN WIND[FEET
0032 C EPSLON=.91 EMMISSIVITY FACTOR UNITLESS
EPSLON - EMMISSIVITY FACTOR UNITLESS
0033 T TTOUT=527,526,533,539,546,553,551,545 OUTSIDE TEMP PROFILE[RANKINE
TTOUT - OUTSIDE TEMP PROFILE[RA
0034 T TTIN=528,528,528,528 INSIDE TEMP PROFILE RANKINE
TTIN - INSIDE TEMP PROFILE RANKINE
0035 NOTE
0036 NOTE SUN'S ANGLE CALCULATIONS
0037 NOTE
0038 A DEC.K=TABFL(TDCL,DAY,0,365) DECLINATION ANGLE DEGREES
DEC - DECLINATION ANGLE DEGREES
TDCL - NO DEFINITION PROVIDED
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0039 A DECL.K=DEC.K/180*PI DECLINATION ANGLE RADIANS
DECL - DECLINATION ANGLE RADIANS
DEC - DECLINATION ANGLE DEGREES
PI - CONSTANT PI
0040 A HOUR.K=PI/180*ABS(90*(12-ATIME.K)/6) HOUR ANGLE RADIANS
HOUR - HOUR ANGLE RADIANS
PI - CONSTANT PI
ATIME - TIME USED IN ANALYSIS
0041 A BET.K=(COS(LATTUD)*COS(HOUR.K)*COS(DECL.K)+SIN(LATTUD)*
X SIN(DECL.K))
BET - IS THE ANGLE WHOS ARCCOS IS BETA
1PAGE 3 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
HOUR - HOUR ANGLE RADIANS
DECL - DECLINATION ANGLE RADIANS
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
DECL - DECLINATION ANGLE RADIANS
0042 DEF BET IS THE ANGLE WHOS ARCCOS IS BETA
0043 A BETA.K=TABFL(ARCSIN,BET.K,-1,1) BETA,LATTUD ANGLE RADIANS
BETA - BETA,LATTUD ANGLE RADIANS
ARCSIN - NO DEFINITION PROVIDED
BET - IS THE ANGLE WHOS ARCCOS IS BETA
0044 A GAM.K=(1/COS(BETA.K))*((COS(LATTUD)*SIN(DECL.K))-COS(DECL.K)*
X SIN(LATTUD)*COS(HOUR.K))
GAM - IS THE ANGLE WHOS ARCSIN SIN IS GAMMA
BETA - BETA,LATTUD ANGLE RADIANS
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
DECL - DECLINATION ANGLE RADIANS
DECL - DECLINATION ANGLE RADIANS
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
HOUR - HOUR ANGLE RADIANS
0045 DEF GAM IS THE ANGLE WHOS ARCSIN SIN IS GAMMA
0046 A GAMM1.K=TABFL(ARCCOS,GAM.K,-1,1) GAMMA ANGLE FOR THE WEST PLANE[RADIANS
GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA
ARCCOS - NO DEFINITION PROVIDED
GAM - IS THE ANGLE WHOS ARCSIN SIN IS GAMMA
0047 A GAMM2.K=PI*2-GAMM1.K GAMMA ANGLE FOR THE EAST PLANE[RADIANS
GAMM2 - GAMMA ANGLE FOR THE EAST PLANE[RADIANS
PI - CONSTANT PI
GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA
0048 A GAMMA.K=CLIP(GAMM2.K,GAMM1.K,ATIME.K,12) SELECT GAMMA,AZIMUTH ANGLE[RADIANS
GAMMA - SELECT GAMMA,AZIMUTH ANGLE[RA
GAMM2 - GAMMA ANGLE FOR THE EAST PLANE[RADIANS
GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA
ATIME - TIME USED IN ANALYSIS
0049 A ALPH1.K=ABS(GAMMA.K-ROTATN) ANGLE OF INCIDENCE IN NS PLANE[RADIANS
ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI
GAMMA - SELECT GAMMA,AZIMUTH ANGLE[RA
ROTATN - ROTATN OF N-S FROM NORMAL RADIANS
0050 A ALPH2.K=ABS(2*PI-ALPH1.K) POSSIBLE ANGLE OF INCIDENCE RADIANS
ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS
PI - CONSTANT PI
ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI
0051 A ALPHA.K=CLIP(ALPH2.K,ALPH1.K,ALPH1.K,ALPH2.K) ANGLE OF INCIDENCE[RADIANS
1PAGE 4 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
ALPHA - ANGLE OF INCIDENCE[RADI
ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS
ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI
ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI
ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS
0052 A TOTAL.K=ABS(SIN(1.57-ALPHA.K)*SIN(1.57-BETA.K-TILT))*TEST1.K*TEST2.K
X +ABS(SIN(1.57-BETA.K-TILT))*TEST3.K
TOTAL - ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY
ALPHA - ANGLE OF INCIDENCE[RADI
BETA - BETA,LATTUD ANGLE RADIANS
TILT - TILT TAKEN FROM THE NORMAL RADIANS
TEST1 - IS SURFACE HORIZONTAL YES=0
TEST2 - IS ANGLE OF INCIDENCE > PI/2 YES=
BETA - BETA,LATTUD ANGLE RADIANS
TILT - TILT TAKEN FROM THE NORMAL RADIANS
TEST3 - IS SURFACE HORIZONTAL YES=1
0053 DEF TOTAL ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY
0054 A TEST1.K=CLIP(0,1,TILT,1.57) IS SURFACE HORIZONTAL YES=0
TEST1 - IS SURFACE HORIZONTAL YES=0
TILT - TILT TAKEN FROM THE NORMAL RADIANS
0055 A TEST2.K=CLIP(0,1,ALPHA.K,1.57) IS ANGLE OF INCIDENCE > PI/2 YES=0
TEST2 - IS ANGLE OF INCIDENCE > PI/2 YES=
ALPHA - ANGLE OF INCIDENCE[RADI
0056 A TEST3.K=CLIP(1,0,TILT,1.57) IS SURFACE HORIZONTAL YES=1
TEST3 - IS SURFACE HORIZONTAL YES=1
TILT - TILT TAKEN FROM THE NORMAL RADIANS
0057 A QSUNT.K=QSOLAR.K*TOTAL.K ENEGRY FROM SUN AFFECTING SURFACE[BTU/HR/FT**2
QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H
QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2
TOTAL - ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY
0058 A QSUN.K=SWITCH(QSUNT.K,0,QSUNT.K) IS SUN UP YET NO=0
QSUN - IS SUN UP YET NO=0
QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H
QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H
0059 A ANGLE.K=(-SIN(LATTUD)/COS(LATTUD)*SIN(DECL.K)/COS(DECL.K))
ANGLE - PORTION OR MORNING AND NIGHT NIGHT
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180)
DECL - DECLINATION ANGLE RADIANS
DECL - DECLINATION ANGLE RADIANS
0060 DEF ANGLE PORTION OR MORNING AND NIGHT NIGHT
1PAGE 5 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0061 A ANGLES.K=TABFL(ARCCOS,ANGLE.K,-1,1) ARCCOS OF ANGLE
ANGLES - ARCCOS OF ANGLE
ARCCOS - NO DEFINITION PROVIDED
ANGLE - PORTION OR MORNING AND NIGHT NIGHT
0062 A MORNG.K=12-ANGLES.K*180/15/PI TIME OF MORNG
MORNG - TIME OF MORNG
ANGLES - ARCCOS OF ANGLE
PI - CONSTANT PI
0063 A NIGHT.K=12+ANGLES.K*180/15/PI TIME OF NIGHT
NIGHT - TIME OF NIGHT
ANGLES - ARCCOS OF ANGLE
PI - CONSTANT PI
0064 A QSOLAR.K=QMAX*SIN(PI*(ATIME.K/(NIGHT.K-MORNG.K)-MORNG.K/
X (NIGHT.K-MORNG.K)))
QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2
QMAX - MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2
PI - CONSTANT PI
ATIME - TIME USED IN ANALYSIS
NIGHT - TIME OF NIGHT
MORNG - TIME OF MORNG
MORNG - TIME OF MORNG
NIGHT - TIME OF NIGHT
MORNG - TIME OF MORNG
0065 DEF QSOLAR SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2
0066 NOTE
0067 NOTE EXPAND FUNCTION FOR THE CALCULATION OF HEAT TRANSFER COEFFIENTS
0068 NOTE
0069 MACRO HTC(H,P,K,W,L,R,M,T,C)
0070 A P.K=TABFL(TPR,T.K,410,610) PRANDTL NUMBER UNITLESS
0071 A M.K=TABFL(TMU,T.K,410,610) (MU) FOR AIR LBM/HR/FT
0072 A K.K=TABFL(TK,T.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT/F
0073 A C.K=BAROP*14.696/(53.35*T.K*29.92)*144 DENSITY LBM/FT**3
0074 A R.K=W*L*C.K/M.K RENOLD'S NUMBER UNITLESS
0075 A H.K=P.K**.333*(ABS(.036*R.K**.8))*K.K/L HEAT TRANSFER COEFFIENT
0076 MEND
0077 NOTE
0078 NOTE CALCULATIONS FOR BOTH THE INSIDE AND OUTSIDE SURFACES NEED BE
0079 NOTE MADE
0080 NOTE
0081 EXPND HTC(HI,CPI,KI,WINDI,LENGTH,RI,MI,TOUT,CI)
0082+ A CPI.K=TABFL(TPR,TOUT.K,410,610) PRANDTL NUMBER UNITLESS
0083+ A MI.K=TABFL(TMU,TOUT.K,410,610) (MU) FOR AIR LBM/HR/FT
0084+ A KI.K=TABFL(TK,TOUT.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT
0085+ A CI.K=BAROP*14.696/(53.35*TOUT.K*29.92)*144 DENSITY LBM/FT**3
0086+ A RI.K=WINDI*LENGTH*CI.K/MI.K RENOLD'S NUMBER UNITLESS
0087+ A HI.K=CPI.K**.333*(ABS(.036*RI.K**.8))*KI.K/LENGTH HEAT TRANSFER COEFFI
0088+ MEND
0089 DEF HI INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0090 DEF HO OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
1PAGE 6 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0091 EXPND HTC(HO,PO,KO,WINDO,LENGTH,RO,MO,TOUT,CO)
0092+ A PO.K=TABFL(TPR,TOUT.K,410,610) PRANDTL NUMBER UNITLESS
0093+ A MO.K=TABFL(TMU,TOUT.K,410,610) (MU) FOR AIR LBM/HR/FT
0094+ A KO.K=TABFL(TK,TOUT.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT
0095+ A CO.K=BAROP*14.696/(53.35*TOUT.K*29.92)*144 DENSITY LBM/FT**3
0096+ A RO.K=WINDO*LENGTH*CO.K/MO.K RENOLD'S NUMBER UNITLESS
0097+ A HO.K=PO.K**.333*(ABS(.036*RO.K**.8))*KO.K/LENGTH HEAT TRANSFER COEFFIE
0098+ MEND
0099 NOTE INSIDE AND OUTSIDE TEMPERATURE CALCULATIONS
0100 NOTE
0101 A TOUT.K=TABFL(TTOUT,ATIME.K,0,24) OUTSIDE TEMPERATURE RANKINE
TOUT - OUTSIDE TEMPERATURE RANKINE
TTOUT - OUTSIDE TEMP PROFILE[RA
ATIME - TIME USED IN ANALYSIS
0102 A TIN.K=TABFL(TTIN,ATIME.K,0,24) INSIDE TEMPERATURE RANKINE
TIN - INSIDE TEMPERATURE RANKINE
TTIN - INSIDE TEMP PROFILE RANKINE
ATIME - TIME USED IN ANALYSIS
0103 NOTE
0104 NOTE EXPAND FUNCTIONS FOR THE TEMPERATURE CALCULATIONS
0105 NOTE
0106 MACRO EXTROR(STEP,T,TT,TT1)
0107 A T1.K=(A1*DTK/STEP**2)*(2*HO.K*STEP/K1*TOUT.K+2*TT1.K+
X (-2*HO.K*STEP/K1-2+STEP**2/(A1*DTK))*TT.K)
0108 A T.K=T1.K+2*QSUN.K/K1*A1*DTK/STEP*EPSLON
0109 N TT=505 INITIAL NODE TEMPERATURE RANKINE
0110 R RATE1.KL=T.K-TT.K
0111 L TT.K=INTGRL(RATE1.JK)
0112 MEND
0113 NOTE
0114 MACRO INTROR(T,TT,CA,CK,TM1,STEP,RATE)
0115 A T.K=(CA*DTK/STEP**2)*(2*HI.K*STEP/CK*TIN.K+2*TM1.K+(-2*HI.K*STEP/
X CK-2+STEP**2/(CA*DTK))*TT.K)
0116 N TT=505
0117 R RATE.KL=T.K-TT.K
0118 L TT.K=INTGRL(RATE.JK)
0119 MEND
0120 NOTE
0121 NOTE
0122 MACRO SECTN(T,TT,CA,CK,TM1,TP1,STEP,RATE)
0123 A T.K=(CA*DTK/STEP**2)*(TP1.K+TM1.K)+(1-2*CA*DTK/STEP**2)*
X TT.K
0124 N TT=505
0125 R RATE.KL=T.K-TT.K
0126 L TT.K=INTGRL(RATE.JK)
0127 MEND
0128 NOTE
0129 NOTE
0130 MACRO INTRSC(T,TT,T1,T2,CA1,CA2,CK1,CK2,STEP,RATE)
0131 A T.K=TT.K+(CK1/STEP*TT.K+CK2/STEP*T1.K-(CK1/STEP+CK2/STEP)*T2.K)/
X (CK1/CA1+CK2/CA2)*STEP/2/DTK
0132 N TT=505
0133 R RATE.KL=T.K-TT.K
1PAGE 7 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0134 L TT.K=INTGRL(RATE.JK)
0135 MEND
0136 NOTE
0137 NOTE
0138 MACRO QFIND(T1,QI,QSUM)
0139 A QI.K=(T1.K-TIN.K)*HI.K
0140 N QSUM=0
0141 A OUT.K=SWITCH(1,0,A2TIME.K)
0142 R QR.KL=QI.K*DTK*OUT.K
0143 L QSUM.K=INTGRL(QR.JK)
0144 MEND
0145 T TMU=.0358,.0394,.0459,.0484
TMU - NO DEFINITION PROVIDED
0146 T TK=.0118,.0131,.0157,.0167
TK - NO DEFINITION PROVIDED
0147 T TCP=.239,.240,.240,.240
$
1) ***** W A R N I N G ***** ND0588
TCP - NO DEFINITION PROVIDED
0148 T TPR=.729,.718,.706,.699
TPR - NO DEFINITION PROVIDED
0149 T TDCL=-23.08,-21.15,-17.18,-12.55,-7.15,-2.25,4.16,9.3,14.51,18.41,
X 21,23,23,21,18,14.17,8.33,3.19,-2.54,-8.15,-14.12,-18.18,-21.41,-23.08
TDCL - NO DEFINITION PROVIDED
0150 T ARCCOS=3.14159,2.69,2.49,2.34,2.21,2.09,1.98,1.87,1.77,1.67,1.5709
X ,.1476,1.3694,1.2661,1.1593,1.0472,.9273,.7954,.6435,.4510,0
ARCCOS - NO DEFINITION PROVIDED
0151 T ARCSIN=-1.5708,-1.11,-.92,-.77,-.64,-.52,-.41,-.30,-.20,-.10,
X 0,.1002,.2014,.3047,.4115,.5236,.6435,.7754,.9272,1.119,1.57
ARCSIN - NO DEFINITION PROVIDED
0152 NOTE
0153 NOTE
0154 C K1=.12
K1 - NO DEFINITION PROVIDED
0155 C C1=.57
$
1) ***** W A R N I N G ***** ND0588
C1 - NO DEFINITION PROVIDED
1PAGE 8 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0156 C A1=.0041
A1 - NO DEFINITION PROVIDED
0157 C DX1=.125
DX1 - NO DEFINITION PROVIDED
0158 C K2=.7
$
1) ***** W A R N I N G ***** ND0588
K2 - NO DEFINITION PROVIDED
0159 C C2=.2
$
1) ***** W A R N I N G ***** ND0588
C2 - NO DEFINITION PROVIDED
0160 C A2=.0267
$
1) ***** W A R N I N G ***** ND0588
A2 - NO DEFINITION PROVIDED
0161 C DX2=.0416
$
1) ***** W A R N I N G ***** ND0588
DX2 - NO DEFINITION PROVIDED
0162 EXPND EXTROR(DX1,TWAL1,TTWAL1,TTWAL2)
0163+ A T1.K=(A1*DTK/DX1**2)*(2*HO.K*DX1/K1*TOUT.K+2*TTWAL2.K+
+ X (-2*HO.K*DX1/K1-2+DX1**2/(A1*DTK))*TTWAL1.K)
0164+ A TWAL1.K=T1.K+2*QSUN.K/K1*A1*DTK/DX1*EPSLON
0165+ N TTWAL1=505 INITIAL NODE TEMPERATURE RANKINE
0166+ R RATE1.KL=TWAL1.K-TTWAL1.K
0167+ L TTWAL1.K=INTGRL(RATE1.JK)
0168+ MEND
0169 EXPND INTROR(TWAL5,TTWAL5,A1,K1,TTWAL4,DX1,RATE5)
0170+ A TWAL5.K=(A1*DTK/DX1**2)*(2*HI.K*DX1/K1*TIN.K+2*TTWAL4.K+(-2*HI.K*DX1/
+ X K1-2+DX1**2/(A1*DTK))*TTWAL5.K)
0171+ N TTWAL5=505
0172+ R RATE5.KL=TWAL5.K-TTWAL5.K
0173+ L TTWAL5.K=INTGRL(RATE5.JK)
0174+ MEND
0175 EXPND SECTN(TWAL2,TTWAL2,A1,K1,TTWAL1,TTWAL3,DX1,RATE2)
0176+ A TWAL2.K=(A1*DTK/DX1**2)*(TTWAL3.K+TTWAL1.K)+(1-2*A1*DTK/DX1**2)*
+ X TTWAL2.K
0177+ N TTWAL2=505
0178+ R RATE2.KL=TWAL2.K-TTWAL2.K
1PAGE 9 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0179+ L TTWAL2.K=INTGRL(RATE2.JK)
0180+ MEND
0181 EXPND SECTN(TWAL3,TTWAL3,A1,K1,TTWAL2,TTWAL4,DX1,RATE3)
0182+ A TWAL3.K=(A1*DTK/DX1**2)*(TTWAL4.K+TTWAL2.K)+(1-2*A1*DTK/DX1**2)*
+ X TTWAL3.K
0183+ N TTWAL3=505
0184+ R RATE3.KL=TWAL3.K-TTWAL3.K
0185+ L TTWAL3.K=INTGRL(RATE3.JK)
0186+ MEND
0187 EXPND SECTN(TWAL4,TTWAL4,A1,K1,TTWAL3,TTWAL5,DX1,RATE4)
0188+ A TWAL4.K=(A1*DTK/DX1**2)*(TTWAL5.K+TTWAL3.K)+(1-2*A1*DTK/DX1**2)*
+ X TTWAL4.K
0189+ N TTWAL4=505
0190+ R RATE4.KL=TWAL4.K-TTWAL4.K
0191+ L TTWAL4.K=INTGRL(RATE4.JK)
0192+ MEND
0193 EXPND QFIND(TWAL5,QI,QSUM)
0194+ A QI.K=(TWAL5.K-TIN.K)*HI.K
0195+ N QSUM=0
0196+ A OUT.K=SWITCH(1,0,A2TIME.K)
0197+ R QR.KL=QI.K*DTK*OUT.K
0198+ L QSUM.K=INTGRL(QR.JK)
0199+ MEND
0200 NOTE
0201 NOTE SPECIFICATIONS
0202 PARM DT=.7
0203 PARM START=1
0204 PARM STOP=48
0205 PARM PRTPER=1
0206 PARM PLTPER=1
0207 PRINT ATIME,QSUM,QI,HO,HI
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0208 PRINT ATIME.2,QSUM.2,QI.2,HO.2,HI.2
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0209 PRINT ATIME.3,QSUM.3,QI.3,HO.3,HI.3
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0210 PRINT ATIME.4,QSUM.4,QI.4,HO.4,HI.4
ATIME - TIME USED IN ANALYSIS
1PAGE 10 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0211 PRINT ATIME.5,QSUM.5,QI.5,HO.5,HI.5
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0212 PRINT ATIME.6,QSUM.6,QI.6,HO.6,HI.6
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0213 PRINT ATIME.7,QSUM.7,QI.7,HO.7,HI.7
ATIME - TIME USED IN ANALYSIS
QI - O DEFINITION PROVIDED
QI - NO DEFINITION PROVIDED
HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F
0214 PRINT QSUM.*
QI - O DEFINITION PROVIDED
0215 PRINT QSUN.*
QSUN - IS SUN UP YET NO=0
0216 PRINT QSOLAR.*
QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2
0217 PLOT QSUN.*
QSUN - IS SUN UP YET NO=0
0218 PLOT QSOLAR.*
QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2
0219 PLOT QSUM.*
QI - O DEFINITION PROVIDED
0220 RERUN WINDO=158400 FPH
0221 C WINDO=158400
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
1PAGE 11 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
0222 RERUN WINDO=105600
0223 C WINDO=105600
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0224 RERUN TO CHANGE THE INSIDE TEMPERATURE
0225 C WINDO=52800
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0226 T TTIN=520,528,529,520
TTIN - INSIDE TEMP PROFILE RANKINE
0227 RERUN WINTER
0228 C DAY=41
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0229 T TTOUT=460,460,461,464,460,460,460,460
TTOUT - OUTSIDE TEMP PROFILE[RA
0230 C WINDO=52800
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0231 RERUN TO CHANGE THE OUTSIDE TEMPERATURE
0232 C DAY=41
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0233 C WINDO=105600
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0234 T TTOUT=460,460,461,464,460,460,460,460
TTOUT - OUTSIDE TEMP PROFILE[RA
0235 RERUN
0236 C DAY=41
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0237 C WINDO=158400
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0238 T TTOUT=460,460,461,464,460,460,460,460
TTOUT - OUTSIDE TEMP PROFILE[RA
0239 RERUN WINTER DAY AND MODIFINED INSIDEE AND OUTSIDE TEMPERATURE
0240 C DAY=41
1PAGE 12 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14
0241 C WINDO=52800
WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280
0242 T TTOUT=460,460,461,464,460,460,460,460
TTOUT - OUTSIDE TEMP PROFILE[RA
0243 T TTIN=520,528,528,520
TTIN - INSIDE TEMP PROFILE RANKINE
1PAGE 13 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
* * * S T A T S A N D O P T I O N S * * *
243 SOURCE STATEMENTS
14 DIAGNOSTIC MESSAGES
14 WARNINGS
CARD TYPE OCCURRENCE
T 15
C 31
PARM 5
N 11
L 11
A 61
R 11
X 16
* 3
NOTE 39
PRINT 10
PLOT 3
RERUN 7
MACRO 6
MEND 14
EXPND 8
DEF 7
TITLE 1
OPTIONS IN EFFECT:
CHECK NOSYSTEM DOCUMENT WIDE
STATS GO NOSYMBOL NOXREF
WARN NOOBJECT SOURCE NOTIME
INTEGRATION METHOD:
EULER LOWER SUM
1PAGE 14 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME QSUM QI HO HI
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.0000 -10.740 2.2062 608.79
1.700 1.700 0.0000 -.830 2.2069 608.99
3.100 3.100 0.0000 -.709 2.2058 608.68
3.800 3.800 0.0000 -.317 2.2042 608.25
5.200 5.200 0.0000 -.673 2.1998 607.01
5.900 5.900 0.0000 -.391 2.1971 606.27
7.300 7.300 0.0000 -.873 2.1919 604.83
8.000 8.000 0.0000 -.627 2.1897 604.25
8.700 8.700 0.0000 -.385 2.1876 603.66
10.100 10.100 0.0000 -.888 2.1833 602.47
10.800 10.800 0.0000 -.626 2.1809 601.81
12.200 12.200 0.0000 -.102 2.1757 600.39
12.900 12.900 0.0000 -.847 2.1731 599.65
14.300 14.300 0.0000 -.357 2.1672 598.04
15.000 15.000 0.0000 -.122 2.1641 597.17
15.700 15.700 0.0000 -.893 2.1612 596.36
17.100 17.100 0.0000 -.450 2.1567 595.12
17.800 17.800 0.0000 -.236 2.1563 595.01
19.200 19.200 0.0000 -.805 2.1574 595.33
19.900 19.900 0.0000 -.571 2.1588 595.71
21.300 21.300 0.0000 -.077 2.1626 596.76
22.000 22.000 0.0000 -.829 2.1649 597.38
22.700 22.700 0.0000 -.586 2.1673 598.05
24.100 0.100 0.0000 -.140 2.2038 608.14
24.800 0.800 -0.5586 -.925 2.2058 608.69
26.200 2.200 -1.3662 -.535 2.2068 608.97
26.900 2.900 -1.6283 -.366 2.2061 608.77
28.300 4.300 -1.9143 -.094 2.2028 607.86
29.000 5.000 -1.9601 0.009 2.2005 607.21
29.700 5.700 -1.9559 0.091 2.1979 606.49
31.100 7.100 -1.8356 0.204 2.1925 605.00
31.800 7.800 -1.7354 0.243 2.1903 604.41
33.200 9.200 -1.4806 0.308 2.1861 603.24
33.900 9.900 -1.3298 0.349 2.1839 602.64
35.300 11.300 -0.9620 0.459 2.1791 601.31
36.000 12.000 -0.7372 0.517 2.1765 600.60
36.700 12.700 -0.4839 0.574 2.1739 599.87
38.100 14.100 0.1052 0.681 2.1682 598.29
38.800 14.800 0.4387 0.731 2.1650 597.41
40.200 16.200 1.1798 0.831 2.1593 595.85
40.900 16.900 1.5870 0.882 2.1572 595.26
42.300 18.300 2.4777 0.992 2.1564 595.05
43.000 19.000 2.9636 1.055 2.1571 595.25
43.700 19.700 3.4806 1.137 2.1584 595.59
45.100 21.100 4.6428 1.343 2.1620 596.59
45.800 21.800 5.3008 1.457 2.1642 597.20
47.200 23.200 6.7846 1.683 2.1690 598.53
47.900 23.900 7.6095 1.790 2.1714 599.20
1PAGE 15 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.2 QSUM.2 QI.2 HO.2 HI.2
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.0000 -10.740 5.3131 608.79
1.700 1.700 0.0000 -.830 5.3147 608.99
3.100 3.100 0.0000 -.709 5.3120 608.68
3.800 3.800 0.0000 -.309 5.3083 608.25
5.200 5.200 0.0000 -.641 5.2975 607.01
5.900 5.900 0.0000 -.344 5.2910 606.27
7.300 7.300 0.0000 -.791 5.2785 604.83
8.000 8.000 0.0000 -.527 5.2734 604.25
8.700 8.700 0.0000 -.267 5.2683 603.66
10.100 10.100 0.0000 -.741 5.2578 602.47
10.800 10.800 0.0000 -.477 5.2521 601.81
12.200 12.200 0.0000 -.954 5.2397 600.39
12.900 12.900 0.0000 -.699 5.2333 599.65
14.300 14.300 0.0000 -.204 5.2192 598.04
15.000 15.000 0.0000 -.963 5.2116 597.17
15.700 15.700 0.0000 -.725 5.2046 596.36
17.100 17.100 0.0000 -.259 5.1937 595.12
17.800 17.800 0.0000 -.030 5.1927 595.01
19.200 19.200 0.0000 -.566 5.1956 595.33
19.900 19.900 0.0000 -.322 5.1988 595.71
21.300 21.300 0.0000 -.829 5.2080 596.76
22.000 22.000 0.0000 -.587 5.2135 597.38
22.700 22.700 0.0000 -.351 5.2192 598.05
24.100 0.100 0.0000 -.916 5.3073 608.14
24.800 0.800 -0.4487 -.706 5.3121 608.69
26.200 2.200 -1.0443 -.325 5.3146 608.97
26.900 2.900 -1.2035 -.167 5.3128 608.77
28.300 4.300 -1.3005 0.077 5.3049 607.86
29.000 5.000 -1.2628 0.163 5.2992 607.21
29.700 5.700 -1.1830 0.228 5.2929 606.49
31.100 7.100 -0.9365 0.310 5.2800 605.00
31.800 7.800 -0.7848 0.335 5.2748 604.41
33.200 9.200 -0.4461 0.375 5.2646 603.24
33.900 9.900 -0.2625 0.405 5.2594 602.64
35.300 11.300 0.1499 0.473 5.2477 601.31
36.000 12.000 0.3816 0.509 5.2415 600.60
36.700 12.700 0.6308 0.547 5.2351 599.87
38.100 14.100 1.1853 0.626 5.2214 598.29
38.800 14.800 1.4920 0.669 5.2137 597.41
40.200 16.200 2.1700 0.765 5.2001 595.85
40.900 16.900 2.5448 0.819 5.1949 595.26
42.300 18.300 3.3772 0.945 5.1931 595.05
43.000 19.000 3.8401 1.020 5.1948 595.25
43.700 19.700 4.3397 1.112 5.1978 595.59
45.100 21.100 5.4780 1.318 5.2065 596.59
45.800 21.800 6.1240 1.427 5.2119 597.20
47.200 23.200 7.5763 1.643 5.2235 598.53
47.900 23.900 8.3812 1.744 5.2293 599.20
1PAGE 16 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.3 QSUM.3 QI.3 HO.3 HI.3
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.0000 -10.740 3.8412 608.79
1.700 1.700 0.0000 -.830 3.8424 608.99
3.100 3.100 0.0000 -.709 3.8405 608.68
3.800 3.800 0.0000 -.313 3.8378 608.25
5.200 5.200 0.0000 -.653 3.8300 607.01
5.900 5.900 0.0000 -.361 3.8253 606.27
7.300 7.300 0.0000 -.818 3.8162 604.83
8.000 8.000 0.0000 -.560 3.8125 604.25
8.700 8.700 0.0000 -.306 3.8089 603.66
10.100 10.100 0.0000 -.787 3.8013 602.47
10.800 10.800 0.0000 -.522 3.7971 601.81
12.200 12.200 0.0000 -.998 3.7882 600.39
12.900 12.900 0.0000 -.744 3.7836 599.65
14.300 14.300 0.0000 -.250 3.7734 598.04
15.000 15.000 0.0000 -.011 3.7679 597.17
15.700 15.700 0.0000 -.776 3.7628 596.36
17.100 17.100 0.0000 -.317 3.7550 595.12
17.800 17.800 0.0000 -.093 3.7543 595.01
19.200 19.200 0.0000 -.639 3.7563 595.33
19.900 19.900 0.0000 -.397 3.7587 595.71
21.300 21.300 0.0000 -.901 3.7653 596.76
22.000 22.000 0.0000 -.657 3.7692 597.38
22.700 22.700 0.0000 -.418 3.7734 598.05
24.100 0.100 0.0000 -.980 3.8371 608.14
24.800 0.800 -0.4800 -.768 3.8406 608.69
26.200 2.200 -1.1358 -.385 3.8423 608.97
26.900 2.900 -1.3242 -.221 3.8411 608.77
28.300 4.300 -1.4732 0.031 3.8353 607.86
29.000 5.000 -1.4578 0.122 3.8313 607.21
29.700 5.700 -1.3979 0.192 3.8267 606.49
31.100 7.100 -1.1835 0.284 3.8173 605.00
31.800 7.800 -1.0444 0.313 3.8136 604.41
33.200 9.200 -0.7255 0.360 3.8062 603.24
33.900 9.900 -0.5492 0.393 3.8024 602.64
35.300 11.300 -0.1445 0.475 3.7940 601.31
36.000 12.000 0.0882 0.518 3.7895 600.60
36.700 12.700 0.3419 0.561 3.7849 599.87
38.100 14.100 0.9124 0.647 3.7750 598.29
38.800 14.800 1.2294 0.691 3.7694 597.41
40.200 16.200 1.9298 0.787 3.7596 595.85
40.900 16.900 2.3155 0.840 3.7558 595.26
42.300 18.300 3.1665 0.959 3.7545 595.05
43.000 19.000 3.6365 1.030 3.7558 595.25
43.700 19.700 4.1411 1.119 3.7579 595.59
45.100 21.100 5.2867 1.327 3.7642 596.59
45.800 21.800 5.9367 1.438 3.7681 597.20
47.200 23.200 7.4000 1.657 3.7765 598.53
47.900 23.900 8.2117 1.759 3.7807 599.20
1PAGE 17 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.4 QSUM.4 QI.4 HO.4 HI.4
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.000 -7.6023 2.2062 608.79
1.700 1.700 0.000 -7.3577 2.2069 608.99
3.100 3.100 0.000 -7.2228 2.2058 608.68
3.800 3.800 0.000 -7.2180 2.2042 608.25
5.200 5.200 0.000 -7.2101 2.1998 607.01
5.900 5.900 0.000 -7.1883 2.1971 606.27
7.300 7.300 0.000 -7.0911 2.1919 604.83
8.000 8.000 0.000 -7.0112 2.1897 604.25
8.700 8.700 0.000 -6.9056 2.1876 603.66
10.100 10.100 0.000 -6.6005 2.1833 602.47
10.800 10.800 0.000 -6.3940 2.1809 601.81
12.200 12.200 0.000 -5.9038 2.1757 600.39
12.900 12.900 0.000 -5.6272 2.1731 599.65
14.300 14.300 0.000 -5.0165 2.1672 598.04
15.000 15.000 0.000 -4.6825 2.1641 597.17
15.700 15.700 0.000 -4.3292 2.1612 596.36
17.100 17.100 0.000 -3.5618 2.1567 595.12
17.800 17.800 0.000 -3.1467 2.1563 595.01
19.200 19.200 0.000 -2.2341 2.1574 595.33
19.900 19.900 0.000 -1.7186 2.1588 595.71
21.300 21.300 0.000 -0.5811 2.1626 596.76
22.000 22.000 0.000 0.0310 2.1649 597.38
22.700 22.700 0.000 0.6656 2.1673 598.05
24.100 0.100 0.000 1.8649 2.2038 608.14
24.800 0.800 0.914 1.5091 2.2058 608.69
26.200 2.200 2.252 0.9816 2.2068 608.97
26.900 2.900 2.733 0.7702 2.2061 608.77
28.300 4.300 3.393 0.3977 2.2028 607.86
29.000 5.000 3.588 0.2288 2.2005 607.21
29.700 5.700 3.700 0.0706 2.1979 606.49
31.100 7.100 3.698 -0.2094 2.1925 605.00
31.800 7.800 3.595 -0.3261 2.1903 604.41
33.200 9.200 3.228 -0.4945 2.1861 603.24
33.900 9.900 2.986 -0.5305 2.1839 602.64
35.300 11.300 2.466 -0.5005 2.1791 601.31
36.000 12.000 2.221 -0.4444 2.1765 600.60
36.700 12.700 2.003 -0.3647 2.1739 599.87
38.100 14.100 1.696 -0.1371 2.1682 598.29
38.800 14.800 1.629 0.0113 2.1650 597.41
40.200 16.200 1.724 0.3818 2.1593 595.85
40.900 16.900 1.911 0.6060 2.1572 595.26
42.300 18.300 2.629 1.1386 2.1564 595.05
43.000 19.000 3.187 1.4526 2.1571 595.25
43.700 19.700 3.899 1.8121 2.1584 595.59
45.100 21.100 5.871 2.6533 2.1620 596.59
45.800 21.800 7.171 3.1264 2.1642 597.20
47.200 23.200 10.481 4.1551 2.1690 598.53
47.900 23.900 12.517 4.7051 2.1714 599.20
1PAGE 18 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.5 QSUM.5 QI.5 HO.5 HI.5
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.00 -.885 2.3267 642.06
1.700 1.700 0.00 -.604 2.3268 642.07
3.100 3.100 0.00 -.440 2.3267 642.05
3.800 3.800 0.00 -.449 2.3265 642.00
5.200 5.200 0.00 -.578 2.3258 641.80
5.900 5.900 0.00 -.681 2.3252 641.64
7.300 7.300 0.00 -.931 2.3230 641.03
8.000 8.000 0.00 -.063 2.3212 640.52
8.700 8.700 0.00 -.196 2.3195 640.05
10.100 10.100 0.00 -.443 2.3171 639.40
10.800 10.800 0.00 -.553 2.3180 639.63
12.200 12.200 0.00 -.725 2.3219 640.72
12.900 12.900 0.00 -.779 2.3242 641.34
14.300 14.300 0.00 -.810 2.3271 642.15
15.000 15.000 0.00 -.784 2.3273 642.20
15.700 15.700 0.00 -.731 2.3272 642.19
17.100 17.100 0.00 -.549 2.3267 642.03
17.800 17.800 0.00 -.419 2.3266 642.03
19.200 19.200 0.00 -.079 2.3266 642.03
19.900 19.900 0.00 -.867 2.3266 642.03
21.300 21.300 0.00 -.356 2.3266 642.03
22.000 22.000 0.00 -.056 2.3266 642.03
22.700 22.700 0.00 -.726 2.3266 642.03
24.100 0.100 0.00 -.129 2.3267 642.03
24.800 0.800 -.00 -.795 2.3267 642.05
26.200 2.200 -.94 -.879 2.3268 642.07
26.900 2.900 -13.80 -.334 2.3267 642.05
28.300 4.300 -22.17 -.115 2.3263 641.94
29.000 5.000 -26.64 -.450 2.3260 641.84
29.700 5.700 -31.27 -.749 2.3254 641.69
31.100 7.100 -40.96 -10.251 2.3235 641.17
31.800 7.800 -45.98 -10.454 2.3217 640.67
33.200 9.200 -56.31 -10.773 2.3184 639.76
33.900 9.900 -61.59 -10.892 2.3173 639.46
35.300 11.300 -72.31 -11.056 2.3192 639.98
36.000 12.000 -77.73 -11.098 2.3213 640.55
36.700 12.700 -83.16 -11.111 2.3235 641.17
38.100 14.100 -94.04 -11.044 2.3270 642.11
38.800 14.800 -99.46 -10.963 2.3272 642.19
40.200 16.200 -110.15 -10.716 2.3271 642.14
40.900 16.900 -115.40 -10.553 2.3268 642.06
42.300 18.300 -125.65 -10.150 2.3266 642.03
43.000 19.000 -130.62 -.909 2.3266 642.03
43.700 19.700 -135.47 -.641 2.3266 642.03
45.100 21.100 -144.78 -.024 2.3266 642.03
45.800 21.800 -149.20 -.674 2.3266 642.03
47.200 23.200 -157.52 -.888 2.3266 642.03
47.900 23.900 -161.38 -.451 2.3266 642.03
1PAGE 19 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.6 QSUM.6 QI.6 HO.6 HI.6
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.00 -.885 4.0511 642.06
1.700 1.700 0.00 -.604 4.0512 642.07
3.100 3.100 0.00 -.440 4.0510 642.05
3.800 3.800 0.00 -.460 4.0507 642.00
5.200 5.200 0.00 -.625 4.0495 641.80
5.900 5.900 0.00 -.753 4.0485 641.64
7.300 7.300 0.00 -.053 4.0446 641.03
8.000 8.000 0.00 -.211 4.0414 640.52
8.700 8.700 0.00 -.368 4.0384 640.05
10.100 10.100 0.00 -.659 4.0343 639.40
10.800 10.800 0.00 -.789 4.0358 639.63
12.200 12.200 0.00 -.996 4.0427 640.72
12.900 12.900 0.00 -.064 4.0466 641.34
14.300 14.300 0.00 -.119 4.0517 642.15
15.000 15.000 0.00 -.103 4.0520 642.20
15.700 15.700 0.00 -.060 4.0519 642.19
17.100 17.100 0.00 -.895 4.0510 642.03
17.800 17.800 0.00 -.774 4.0509 642.03
19.200 19.200 0.00 -.448 4.0509 642.03
19.900 19.900 0.00 -.242 4.0509 642.03
21.300 21.300 0.00 -.741 4.0509 642.03
22.000 22.000 0.00 -.446 4.0509 642.03
22.700 22.700 0.00 -.120 4.0509 642.03
24.100 0.100 0.00 -.529 4.0509 642.03
24.800 0.800 -.20 -.198 4.0511 642.05
26.200 2.200 -10.54 -.285 4.0512 642.07
26.900 2.900 -14.60 -.743 4.0511 642.05
28.300 4.300 -23.37 -.526 4.0504 641.94
29.000 5.000 -28.03 -.861 4.0497 641.84
29.700 5.700 -32.87 -10.162 4.0488 641.69
31.100 7.100 -42.96 -10.664 4.0455 641.17
31.800 7.800 -48.18 -10.866 4.0423 640.67
33.200 9.200 -58.91 -11.184 4.0366 639.76
33.900 9.900 -64.39 -11.302 4.0347 639.46
35.300 11.300 -75.52 -11.464 4.0380 639.98
36.000 12.000 -81.13 -11.504 4.0416 640.55
36.700 12.700 -86.77 -11.515 4.0455 641.17
38.100 14.100 -98.05 -11.442 4.0515 642.11
38.800 14.800 -103.65 -11.358 4.0520 642.19
40.200 16.200 -114.73 -11.108 4.0517 642.14
40.900 16.900 -120.17 -10.943 4.0511 642.06
42.300 18.300 -130.80 -10.538 4.0509 642.03
43.000 19.000 -135.97 -10.297 4.0509 642.03
43.700 19.700 -141.01 -10.029 4.0509 642.03
45.100 21.100 -150.70 -.411 4.0509 642.03
45.800 21.800 -155.31 -.060 4.0509 642.03
47.200 23.200 -164.00 -.273 4.0509 642.03
47.900 23.900 -168.05 -.836 4.0509 642.03
1PAGE 20 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME ATIME.7 QSUM.7 QI.7 HO.7 HI.7
E+00 E+00 E+00 E+00 E+00 E-03
1.000 1.000 0.00 -.885 5.6033 642.06
1.700 1.700 0.00 -.604 5.6034 642.07
3.100 3.100 0.00 -.440 5.6032 642.05
3.800 3.800 0.00 -.469 5.6028 642.00
5.200 5.200 0.00 -.653 5.6011 641.80
5.900 5.900 0.00 -.790 5.5997 641.64
7.300 7.300 0.00 -.113 5.5944 641.03
8.000 8.000 0.00 -.283 5.5900 640.52
8.700 8.700 0.00 -.449 5.5858 640.05
10.100 10.100 0.00 -.758 5.5801 639.40
10.800 10.800 0.00 -.896 5.5822 639.63
12.200 12.200 0.00 -.115 5.5917 640.72
12.900 12.900 0.00 -.189 5.5971 641.34
14.300 14.300 0.00 -.252 5.6041 642.15
15.000 15.000 0.00 -.240 5.6046 642.20
15.700 15.700 0.00 -.201 5.6045 642.19
17.100 17.100 0.00 -.042 5.6031 642.03
17.800 17.800 0.00 -.923 5.6031 642.03
19.200 19.200 0.00 -.602 5.6031 642.03
19.900 19.900 0.00 -.398 5.6031 642.03
21.300 21.300 0.00 -.901 5.6031 642.03
22.000 22.000 0.00 -.607 5.6031 642.03
22.700 22.700 0.00 -.282 5.6031 642.03
24.100 0.100 0.00 -.693 5.6031 642.03
24.800 0.800 -.28 -.363 5.6033 642.05
26.200 2.200 -10.78 -.451 5.6034 642.07
26.900 2.900 -14.92 -.908 5.6033 642.05
28.300 4.300 -23.85 -.692 5.6024 641.94
29.000 5.000 -28.60 -10.027 5.6014 641.84
29.700 5.700 -33.51 -10.327 5.6001 641.69
31.100 7.100 -43.76 -10.829 5.5956 641.17
31.800 7.800 -49.07 -11.031 5.5912 640.67
33.200 9.200 -59.97 -11.348 5.5833 639.76
33.900 9.900 -65.53 -11.465 5.5806 639.46
35.300 11.300 -76.81 -11.625 5.5852 639.98
36.000 12.000 -82.50 -11.665 5.5902 640.55
36.700 12.700 -88.22 -11.674 5.5956 641.17
38.100 14.100 -99.65 -11.599 5.6038 642.11
38.800 14.800 -105.33 -11.514 5.6045 642.19
40.200 16.200 -116.56 -11.261 5.6041 642.14
40.900 16.900 -122.08 -11.096 5.6034 642.06
42.300 18.300 -132.86 -10.691 5.6031 642.03
43.000 19.000 -138.10 -10.449 5.6031 642.03
43.700 19.700 -143.22 -10.181 5.6031 642.03
45.100 21.100 -153.05 -.562 5.6031 642.03
45.800 21.800 -157.74 -.211 5.6031 642.03
47.200 23.200 -166.58 -.423 5.6031 642.03
47.900 23.900 -170.71 -.986 5.6031 642.03
1PAGE 21 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME QSUM.1 QSUM.2 QSUM.3 QSUM.4 QSUM.5 QSUM.6 QSUM.7 QSUM.8
1.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
1.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
3.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
3.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
5.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
5.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
7.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
8.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
8.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
10.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
10.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
12.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
12.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
14.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
15.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
15.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
17.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
17.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
19.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
19.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
21.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
22.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
22.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
24.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00
24.800 -0.5586 -0.4487 -0.4800 0.914 -.00 -.20 -.28 -.08
26.200 -1.3662 -1.0443 -1.1358 2.252 -.94 -10.54 -10.78 -10.22
26.900 -1.6283 -1.2035 -1.3242 2.733 -13.80 -14.60 -14.92 -14.18
28.300 -1.9143 -1.3005 -1.4732 3.393 -22.17 -23.37 -23.85 -22.76
29.000 -1.9601 -1.2628 -1.4578 3.588 -26.64 -28.03 -28.60 -27.32
29.700 -1.9559 -1.1830 -1.3979 3.700 -31.27 -32.87 -33.51 -32.03
31.100 -1.8356 -0.9365 -1.1835 3.698 -40.96 -42.96 -43.76 -41.84
31.800 -1.7354 -0.7848 -1.0444 3.595 -45.98 -48.18 -49.07 -46.90
33.200 -1.4806 -0.4461 -0.7255 3.228 -56.31 -58.91 -59.97 -57.24
33.900 -1.3298 -0.2625 -0.5492 2.986 -61.59 -64.39 -65.53 -62.49
35.300 -0.9620 0.1499 -0.1445 2.466 -72.31 -75.52 -76.81 -73.10
36.000 -0.7372 0.3816 0.0882 2.221 -77.73 -81.13 -82.50 -78.43
36.700 -0.4839 0.6308 0.3419 2.003 -83.16 -86.77 -88.22 -83.77
38.100 0.1052 1.1853 0.9124 1.696 -94.04 -98.05 -99.65 -94.40
38.800 0.4387 1.4920 1.2294 1.629 -99.46 -103.65 -105.33 -99.66
40.200 1.1798 2.1700 1.9298 1.724 -110.15 -114.73 -116.56 -110.04
40.900 1.5870 2.5448 2.3155 1.911 -115.40 -120.17 -122.08 -115.12
42.300 2.4777 3.3772 3.1665 2.629 -125.65 -130.80 -132.86 -125.04
43.000 2.9636 3.8401 3.6365 3.187 -130.62 -135.97 -138.10 -129.85
43.700 3.4806 4.3397 4.1411 3.899 -135.47 -141.01 -143.22 -134.56
45.100 4.6428 5.4780 5.2867 5.871 -144.78 -150.70 -153.05 -143.63
45.800 5.3008 6.1240 5.9367 7.171 -149.20 -155.31 -157.74 -147.96
47.200 6.7846 7.5763 7.4000 10.481 -157.52 -164.00 -166.58 -156.21
47.900 7.6095 8.3812 8.2117 12.517 -161.38 -168.05 -170.71 -160.10
1PAGE 22 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME QSUN.1 QSUN.2 QSUN.3 QSUN.4 QSUN.5 QSUN.6 QSUN.7 QSUN.8
1.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
1.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
3.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
3.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
5.200 14.50 14.50 14.50 14.50 0.0000 0.0000 0.0000 0.0000
5.900 22.54 22.54 22.54 22.54 0.0000 0.0000 0.0000 0.0000
7.300 126.58 126.58 126.58 126.58 0.0000 0.0000 0.0000 0.0000
8.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
8.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
10.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
10.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
12.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
12.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
14.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
15.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
15.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
17.100 77.59 77.59 77.59 77.59 0.0000 0.0000 0.0000 0.0000
17.800 17.90 17.90 17.90 17.90 0.0000 0.0000 0.0000 0.0000
19.200 5.81 5.81 5.81 5.81 0.0000 0.0000 0.0000 0.0000
19.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
21.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
22.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
22.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
24.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
24.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
26.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
26.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
28.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
29.000 10.52 10.52 10.52 10.52 0.0000 0.0000 0.0000 0.0000
29.700 21.18 21.18 21.18 21.18 0.0000 0.0000 0.0000 0.0000
31.100 111.98 111.98 111.98 111.98 0.0000 0.0000 0.0000 0.0000
31.800 31.21 31.21 31.21 31.21 0.0000 0.0000 0.0000 0.0000
33.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
33.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
35.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
36.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
36.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
38.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
38.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
40.200 31.21 31.21 31.21 31.21 0.0000 0.0000 0.0000 0.0000
40.900 111.98 111.98 111.98 111.98 0.0000 0.0000 0.0000 0.0000
42.300 21.18 21.18 21.18 21.18 0.0000 0.0000 0.0000 0.0000
43.000 10.52 10.52 10.52 10.52 0.0000 0.0000 0.0000 0.0000
43.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
45.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
45.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
47.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
47.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000
1PAGE 23 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
TIME QSOLAR.1 QSOLAR.2 QSOLAR.3 QSOLAR.4 QSOLAR.5 QSOLAR.6 QSOLAR.7 QSOLAR.8
1.000 -186.00 -186.00 -186.00 -186.00 -269.66 -269.66 -269.66 -269.66
1.700 -155.04 -155.04 -155.04 -155.04 -266.85 -266.85 -266.85 -266.85
3.100 -83.65 -83.65 -83.65 -83.65 -228.90 -228.90 -228.90 -228.90
3.800 -44.80 -44.80 -44.80 -44.80 -195.31 -195.31 -195.31 -195.31
5.200 34.99 34.99 34.99 34.99 -105.74 -105.74 -105.74 -105.74
5.900 74.17 74.17 74.17 74.17 -53.45 -53.45 -53.45 -53.45
7.300 146.82 146.82 146.82 146.82 55.48 55.48 55.48 55.48
8.000 178.69 178.69 178.69 178.69 107.65 107.65 107.65 107.65
8.700 206.64 206.64 206.64 206.64 155.38 155.38 155.38 155.38
10.100 248.41 248.41 248.41 248.41 229.99 229.99 229.99 229.99
10.800 261.32 261.32 261.32 261.32 253.80 253.80 253.80 253.80
12.200 269.76 269.76 269.76 269.76 269.55 269.55 269.55 269.55
12.900 265.11 265.11 265.11 265.11 260.84 260.84 260.84 260.84
14.300 238.57 238.57 238.57 238.57 212.07 212.07 212.07 212.07
15.000 217.26 217.26 217.26 217.26 173.99 173.99 173.99 173.99
15.700 191.19 191.19 191.19 191.19 128.77 128.77 128.77 128.77
17.100 127.11 127.11 127.11 127.11 24.51 24.51 24.51 24.51
17.800 90.51 90.51 90.51 90.51 -30.24 -30.24 -30.24 -30.24
19.200 12.20 12.20 12.20 12.20 -133.80 -133.80 -133.80 -133.80
19.900 -27.79 -27.79 -27.79 -27.79 -178.36 -178.36 -178.36 -178.36
21.300 -105.08 -105.08 -105.08 -105.08 -243.94 -243.94 -243.94 -243.94
22.000 -140.68 -140.68 -140.68 -140.68 -262.27 -262.27 -262.27 -262.27
22.700 -173.20 -173.20 -173.20 -173.20 -269.82 -269.82 -269.82 -269.82
24.100 -219.73 -219.73 -219.73 -219.73 -257.01 -257.01 -257.01 -257.01
24.800 -194.13 -194.13 -194.13 -194.13 -268.42 -268.42 -268.42 -268.42
26.200 -130.80 -130.80 -130.80 -130.80 -258.11 -258.11 -258.11 -258.11
26.900 -94.45 -94.45 -94.45 -94.45 -236.82 -236.82 -236.82 -236.82
28.300 -16.39 -16.39 -16.39 -16.39 -166.30 -166.30 -166.30 -166.30
29.000 23.62 23.62 23.62 23.62 -119.97 -119.97 -119.97 -119.97
29.700 63.10 63.10 63.10 63.10 -68.71 -68.71 -68.71 -68.71
31.100 137.09 137.09 137.09 137.09 40.06 40.06 40.06 40.06
31.800 169.96 169.96 169.96 169.96 93.10 93.10 93.10 93.10
33.200 223.86 223.86 223.86 223.86 185.68 185.68 185.68 185.68
33.900 243.71 243.71 243.71 243.71 221.40 221.40 221.40 221.40
35.300 267.04 267.04 267.04 267.04 264.45 264.45 264.45 264.45
36.000 270.00 270.00 270.00 270.00 270.00 270.00 270.00 270.00
36.700 267.04 267.04 267.04 267.04 264.45 264.45 264.45 264.45
38.100 243.71 243.71 243.71 243.71 221.40 221.40 221.40 221.40
38.800 223.86 223.86 223.86 223.86 185.68 185.68 185.68 185.68
40.200 169.96 169.96 169.96 169.96 93.10 93.10 93.10 93.10
40.900 137.09 137.09 137.09 137.09 40.06 40.06 40.06 40.06
42.300 63.10 63.10 63.10 63.10 -68.71 -68.71 -68.71 -68.71
43.000 23.62 23.62 23.62 23.62 -119.97 -119.97 -119.97 -119.97
43.700 -16.39 -16.39 -16.39 -16.39 -166.30 -166.30 -166.30 -166.30
45.100 -94.45 -94.45 -94.45 -94.45 -236.82 -236.82 -236.82 -236.82
45.800 -130.80 -130.80 -130.80 -130.80 -258.11 -258.11 -258.11 -258.11
47.200 -194.13 -194.13 -194.13 -194.13 -268.42 -268.42 -268.42 -268.42
47.900 -219.73 -219.73 -219.73 -219.73 -257.01 -257.01 -257.01 -257.01
1PAGE 24 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
1=QSUN.1 2=QSUN.2 3=QSUN.3 4=QSUN.4 5=QSUN.5 6=QSUN.6 7=QSUN.7 8=QSUN.8
87654321 0 32.5 65 97.5 130
1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
T 1 . . . . 12345678
I 5 1 . . . . 1234,5678
M 5 1 . . . . 1234,5678
E 5 . . . 1 . 1234,5678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
10.8 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
5 . . 1 . . 1234,5678
5 1 . . . . 1234,5678
5 1 . . . . 1234,5678
1 . . . . 12345678
21.3 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
5 1 . . . . 1234,5678
5 1 . . . . 1234,5678
31.1 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . 1234,5678
5 1. . . . 1234,5678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
5 1. . . . 1234,5678
40.9 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . 1234,5678
5 1 . . . . 1234,5678
5 1 . . . . 1234,5678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
1 . . . . 12345678
47.9 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
1PAGE 25 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
1=QSOLAR.1 2=QSOLAR.2 3=QSOLAR.3 4=QSOLAR.4 5=QSOLAR.5 6=QSOLAR.6 7=QSOLAR.7 8=QSOLAR.8
87654321 -220 -97.5 25 147.5 270
1 . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234
. 1 . . . . 1234
. . 1 . . . 1234
T . 5 . 1 . . . 1234,5678
I . 5. . 1 . . 1234,5678
M . . 5 . 1 . . 1234,5678
E . . . 5 1 . 1234,5678
. . . 5 . 1 . 1234,5678
. . . .5 1 . 1234,5678
. . . . 5 1 . 1234,5678
10.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51 . 1234,5678
. . . . 1 12345678
. . . . 51. 1234,5678
. . . . 5 1 . 1234,5678
. . . . 5 1 . 1234,5678
. . . 5 . 1 . 1234,5678
. . 5 1 . . 1234,5678
. . 5 . 1 . . 1234,5678
. 5 . 1 . . . 1234,5678
. 5 . 1 . . . 1234,5678
21.3 . . . . . . . . . . .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234
. 1 . . . . 1234
. 1 . . . . 1234
1 . . . . 1234
. 1 . . . . 1234
. 1 . . . . 1234
. .1 . . . 1234
. 5 . 1 . . . 1234,5678
. 5 . 1 . . 1234,5678
. . 5 . 1 . . 1234,5678
31.1 . . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . 1 . . . . . . . . . . . . 1234,5678
. . . 5 . 1 . 1234,5678
. . . . 5 1 . 1234,5678
. . . . 5 1 . 1234,5678
. . . . 1. 12345678
. . . . 1 12345678
. . . . 1. 12345678
. . . . 5 1 . 1234,5678
. . . . 5 1 . 1234,5678
. . . 5 . 1 . 1234,5678
40.9 . . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . 1 . . . . . . . . . . . . 1234,5678
. . 5 . 1 . . 1234,5678
. 5 . 1 . . 1234,5678
. 5 . 1 . . . 1234,5678
. .1 . . . 1234
. 1 . . . . 1234
. 1 . . . . 1234
47.9 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234
1PAGE 26 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND
1=QSUM.1 2=QSUM.2 3=QSUM.3 4=QSUM.4 5=QSUM.5 6=QSUM.6 7=QSUM.7 8=QSUM.8
87654321 -2 .425 2.85 5.275 7.7
1 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
T . 1 . . . . 12345678
I . 1 . . . . 12345678
M . 1 . . . . 12345678
E . 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
10.8 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
21.3 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 1 . . . . 12345678
. 12 . 4 . . . 23
. 1 32 . 4 . . .
. 1 32 . 4. . .
.1 32 . . 4 . .
1 3 2 . . 4 . .
1 3 2 . . 4 . .
31.1 .1. . .3. 2 . . . . . . . . . . . . . . . . . . . . 4 . . . . . . . . . . . . . . . . . .
. 1 3 2 . . 4 . .
. 1 3 2 . . 4 . .
. 1 3 2 . .4 . .
. 1 3 2 . 4 . . .
. 1 3 2 4 . . .
. 1 3. 2 4 . . .
. 1 . 3 2 4 . . .
. 1 3 24 . . .
. . 1 4 3 2 . . .
40.9 . . . . . . . . . . . . . . . . .1.4. .3.2. . . . . . . . . . . . . . . . . . . . . . . .
. . 14 . 3 2 . .
. . .1 4 3 2 . .
. . . 1 4 3 2 . .
. . . 1 3 2 4 .
. . . 1 3 2 4 .
. . . . 1 3 2.
47.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.