Index
307
radiation, 224, 225
radiation flux and, 26, 72
of small control volume, 22, 27
Energy conservation, 6, 152
in 3-D system, 8
Energy equation. See Conservation of
energy
Energy exchange, 258
Enthalpy/energy equation, 199–200
Exchange factor, 270
External forced convection, 141, 157–166.
See also Internal forced
convection; Natural convection
integral method, 150
similarity solution, 141–148
F
Fin
conduction through, 21
efficiency, 25–26, 30
energy balance, 22
heat transfer rate, 21, 24
performance, 25
temperature distribution, 22
Finite heat flux, 9, 10
Finite-difference energy balance method,
105, 119
energy balance equation number, 105
explicit method, 114–116, 118
implicit method, 117, 118
transient heat conduction, 114, 117
2-D heat conduction, 105–113
uniform heat flux, 107
Flow conditions, 3
Fourier’s conduction law, 1
conduction heat rate evaluation, 7
Fraction method, 228
Freezing—Neumann solution, 87–89
G
Gas
absorption in, 278
absorptivity, 275, 282, 286
combustion furnaces, 285
elemental surface for radiation, 280
emissivity, 275, 277, 279
geometric mean beam length, 275,
279–281
hemispherical gas radiation, 277
matrix linear equations, 284–285
net heat transfer rate, 287
optically thick, 281
optically thin, 281
radiation between hot, 285, 286, 287
radiation heat transfer, 282
radiation properties, 275
radiation transfer through, 275,
289–292
spectral radiation absorption, 277
transmissivity, 282
volumetric absorption, 277
zone method, 288–289
Gas radiation, 221
geometry of, 279
hemispherical, 277
properties, 275–281
Geometric mean beam length, 275,
279, 281
Grashof number, 185, 187
Gray diffuse
isothermal surface, 257–259, 282–283
nonisothermal surfaces, 268–269
Gray gas
absorptivity and, 275, 278
gray enclosure filled with, 288
net heat transfer rate, 287
surfaces with, 288
temperature, 290
total emissivity, 277, 287
Gray gas, isothermal
elemental surface for radiation, 280
radiation exchange, 282–283
Gray surface, 224. See also Diffuse surface
emissive power, 226
with gray gas, 288
radiation exchange, 270
H
Heat conduction, nonhomogeneous, 56
Heat conduction. See also Heat
conduction equations
ablation, 91–93
cylindrical rod, 20
finite-difference energy balance
method, 105
flat plate, 18, 19
freezing and solidification problems,
87–89
melting and ablation problems, 89
307
radiation, 224, 225
radiation flux and, 26, 72
of small control volume, 22, 27
Energy conservation, 6, 152
in 3-D system, 8
Energy equation. See Conservation of
energy
Energy exchange, 258
Enthalpy/energy equation, 199–200
Exchange factor, 270
External forced convection, 141, 157–166.
See also Internal forced
convection; Natural convection
integral method, 150
similarity solution, 141–148
F
Fin
conduction through, 21
efficiency, 25–26, 30
energy balance, 22
heat transfer rate, 21, 24
performance, 25
temperature distribution, 22
Finite heat flux, 9, 10
Finite-difference energy balance method,
105, 119
energy balance equation number, 105
explicit method, 114–116, 118
implicit method, 117, 118
transient heat conduction, 114, 117
2-D heat conduction, 105–113
uniform heat flux, 107
Flow conditions, 3
Fourier’s conduction law, 1
conduction heat rate evaluation, 7
Fraction method, 228
Freezing—Neumann solution, 87–89
G
Gas
absorption in, 278
absorptivity, 275, 282, 286
combustion furnaces, 285
elemental surface for radiation, 280
emissivity, 275, 277, 279
geometric mean beam length, 275,
279–281
hemispherical gas radiation, 277
matrix linear equations, 284–285
net heat transfer rate, 287
optically thick, 281
optically thin, 281
radiation between hot, 285, 286, 287
radiation heat transfer, 282
radiation properties, 275
radiation transfer through, 275,
289–292
spectral radiation absorption, 277
transmissivity, 282
volumetric absorption, 277
zone method, 288–289
Gas radiation, 221
geometry of, 279
hemispherical, 277
properties, 275–281
Geometric mean beam length, 275,
279, 281
Grashof number, 185, 187
Gray diffuse
isothermal surface, 257–259, 282–283
nonisothermal surfaces, 268–269
Gray gas
absorptivity and, 275, 278
gray enclosure filled with, 288
net heat transfer rate, 287
surfaces with, 288
temperature, 290
total emissivity, 277, 287
Gray gas, isothermal
elemental surface for radiation, 280
radiation exchange, 282–283
Gray surface, 224. See also Diffuse surface
emissive power, 226
with gray gas, 288
radiation exchange, 270
H
Heat conduction, nonhomogeneous, 56
Heat conduction. See also Heat
conduction equations
ablation, 91–93
cylindrical rod, 20
finite-difference energy balance
method, 105
flat plate, 18, 19
freezing and solidification problems,
87–89
melting and ablation problems, 89