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HEATTRAN.MCD
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HEATTRAN.MCD
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Text File
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1991-06-26
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7KB
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362 lines
.MCD 30001 1 74
.CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 0
.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=3 name=Greek^Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE fontID=0 family=Tms^Rmn points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=1 family=Tms^Rmn points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=2 family=Helv points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=3 family=Symbol points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=4 family=Helv points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=5 family=Courier points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=8 family=Terminal points=0 bold=0 italic=0 underline=0
.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0
.CMD UNITS U=3
.TXT 2 2 0 0
C a445,523,95
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{\f0 \fs24 \b \i \ulnone }{}{\f0
\fs24 \b \i \ulnone HEAT TRANSFER -- FLAT
WALL WITH TWO LAYERS}{}}
}
.TXT 3 2 0 0
C a408,439,38
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{First, define some extra units:}{}}
}
.EQN 1 26 0 0
J~0.07376*ft*lbf
.EQN 1 17 0 0
Btu~20.031*ft*(lbf)/(sec)
.EQN 2 -32 0 0
degF~1
.TXT 0 14 0 0
C a200,202,74
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{(for convenience, define Fahrenheit
degree as dimensionless unit)}{}}
}
.EQN 1 -25 0 0
W~(J)/(sec)
.EQN 7 -1 0 0
{3}s~1.713*(10)^(-9)*(Btu)/((ft)^(2)*hr*degF)
.TXT 0 26 0 0
C a216,218,34
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{(Stefan-Boltzmann constant)}{}}
}
.TXT 6 -25 0 0
C a176,178,29
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{Parameters of problem:}{}}
}
.EQN 0 24 0 0
Area:25*(ft)^(2)
.TXT 0 15 0 0
C a104,106,20
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... wall area}{}}
}
.TXT 5 -39 0 0
C a208,210,81
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{\f0 \fs20 \b0 \i0 \ul }{}{\f0
\fs20 \b0 \i0 \ul First layer of wall:
wood}{}}
}
.EQN 5 -3 0 0
t1:.25*in
.TXT 0 13 0 0
C a104,106,20
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... thickness}{}}
}
.EQN 1 14 0 0
h1:4.1*(Btu)/(hr*(ft)^(2)*degF)
.TXT 0 20 0 0
C a224,226,35
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... inside convection coeff.}{}}
}
.EQN 5 -47 0 0
k1:0.06*(Btu)/(hr*ft*degF)
.TXT 1 19 0 0
C a272,274,41
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... conductive coefficient of
wood}{}}
}
.EQN 5 -19 0 0
T0:75*degF
.TXT 0 19 0 0
C a240,242,37
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... maximum inside temperature}{}}
}
.TXT 5 -15 0 0
C a344,346,98
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{\f0 \fs20 \b0 \i0 \ul Second
layer of wall: rock-wool insulation}{}{\f1
\fs20 \b0 \i0 \ul }{}}
}
.EQN 4 -4 0 0
t2:.25*in
.TXT 0 12 0 0
C a104,106,20
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... thickness}{}}
}
.TXT 0 31 0 0
C a232,234,36
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... outside convection coeff.}{}}
}
.EQN 1 -20 0 0
h2:21.8*(Btu)/(hr*(ft)^(2)*degF)
.EQN 5 -23 0 0
k2:0.017*(Btu)/(hr*ft*degF)
.TXT 0 20 0 0
C a240,242,50
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... conductive coefficient of
rock-wool}{}}
}
.TXT 5 0 0 0
C a248,250,38
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... minimum outside temperature}{}}
}
.EQN 1 -20 0 0
T4:-20*degF
.TXT 4 0 0 0
C a152,154,26
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{Compute resistances}{}}
}
.TXT 0 34 0 0
C a243,276,52
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... convective resistance,
inside surface}{}}
}
.EQN 1 -14 0 0
Rh1:(1)/(h1*Area)
.EQN 5 -20 0 0
Rk1:(t1)/(k1*Area)
.TXT 0 16 0 0
C a229,286,50
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... conductive resistance,
inside layer}{}}
}
.TXT 6 0 0 0
C a237,297,51
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... conductive resistance,
outside layer}{}}
}
.EQN 1 -16 0 0
Rk2:(t2)/(k2*Area)
.TXT 6 17 0 0
C a237,289,51
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... convective resistance,
outside layer}{}}
}
.EQN 1 -17 0 0
Rh2:(1)/(h2*Area)
.TXT 5 23 0 0
C a160,162,27
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... total resistance}{}}
}
.EQN 1 -23 0 0
Rtot:Rh1+Rk1+Rk2+Rh2
.TXT 5 0 0 0
C a184,186,30
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{Heat flow, temperatures}{}}
}
.TXT 1 47 0 0
C a200,202,64
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... heat flow at time of maximum
temperature difference}{}}
}
.EQN 2 -36 0 0
Q:(T0-T4)/(Rtot)
.EQN 0 16 0 0
Q=?(Btu)/(hr)
.EQN 5 -1 0 0
T0=?degF
.TXT 0 21 0 0
C a240,242,37
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... inside temperature (given)}{}}
}
.EQN 4 -44 0 0
T1:T0-Q*Rh1
.EQN 0 23 0 0
T1=?degF
.TXT 0 21 0 0
C a240,242,37
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... temperature of inside wall}{}}
}
.EQN 4 -44 0 0
T2:T1-Q*Rk1
.EQN 0 23 0 0
T2=?degF
.TXT 0 21 0 0
C a240,242,37
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... temperature between layers}{}}
}
.EQN 4 -44 0 0
T3:T2-Q*Rk2
.EQN 0 23 0 0
T3=?degF
.TXT 0 21 0 0
C a248,250,38
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... temperature of outside wall}{}}
}
.EQN 4 -21 0 0
T4=?degF
.TXT 0 21 0 0
C a248,250,38
{\rtf1\ansi \deff0
{\fonttbl
{\f0\fnil Helv;}
{\f1\fnil Courier;}
}
{\plain {}{... outside temperature (given)}{}}
}