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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Packaged units, specification of,
Packing characteristic, in cooling towers,
Packings, for cooling towers
Packings, for fixed beds:
Packinox heat exchanger,
Paints, spectral characteristics of reflectance of surfaces treated with,
Palen, J W
Panchal, C B,
Paraffins, normal and isonormal:
Paraldehyde:
Parallel channel instability, in condensers,
Partial boiling in subcooled forced convective heat transfer,
Participating media, radiation interaction in,
Particle convective component, in heat transfer from fluidized beds,
Particle emissivity,
Particle Reynolds number in fixed beds,
Particles:
Particulate fluidization,
Particulate fouling,
Pass arrangements, in plate heat exchangers,
Passes, tube side,
Passive methods, for augmentation of heat transfer, passive systems for:
PD5500 mechanical design of shell-and-tube heat exchangers to,
Peacock, D K,
Pearson number,
Peclet number
Peng-Robinson equation of state, application to hydrocarbons,
Penner's rule, in absorption of radiation by gases,
Pentachloroethane (Refrigerant 120):
Pentadecane:
Pentadecene:
Pentadiene 1, 2:
Pentadiene 1, trans 3:
Pentadiene 1, 4:
Pentadiene 2-3:
Pentafluoroethane (Refrigerant 125)
Pentamethylbenzene:
Pentane:
Pentanoic acid:
1-Pentanol:
1-Pentene:
cis-2-Pentene:
trans-2-Pentene:
Pentylacetate:
Pentylbenzene:
Pentylcyclohexane:
Pentylcyclopentane:
Pentylcyclopropane, liquid properties,
Perforated fins, in plate fin heat exchangers,
Perforated plates, loss coefficients in,
Periodic operation, of regenerator,
Periodic variations in temperature, thermal conduction in bodies with,
PFR correlation, for heat transfer in high fin tube banks,
Pharmaceutical industry, fouling of heat exchangers in,
Phase change materials, in augmentation of heat transfer,
Phase change number,
Phase equilibrium:
Phase inversion
Phase separation, as source of corrosion problems,
Phenol:
Phenols:
Phenylhydrazine:
Phonons, in thermal conductivity of solids,
Phosgene:
Physical properties:
Pi theorum, in dimensional analysis,
Pinch analysis, for heat exchanger network design,
Pioro, I L
Pioro, LS,
Pipe leads,
Piperidine:
Pipes, circular:
augmentation of heat transfer in,
boiling of binary and multicomponent mixtures in,
combined free and forced convection in,
flow boiling in: horizontal pipes,
free convective heat transfer from outside of,
heat transfer to, in fluidized beds,
heat transfer to liquid metals in,
laminar heat transfer in,
pneumatic conveyance (gas solids flow) in,
radiative heat transfer along,
roughened surface, radiative heat transfer along,
single-phase fluid flow and pressure drop in fully developed
transition between laminar and turbulent flows, heat transfer in turbulent heat transfer in,
two-phase gas-liquid flow in,
use in shell-and-tube heat exchangers for single-phase flow,
Pipes, noncircular:
Piping components:
Pitting corrosion, in stainless steels,
Planck's constant,
Planck's law, for spectral distribution of blackbody radiation,
Plane shells, steady-state thermal conduction in,
Plastic deformation
Plate fin heat exchangers
Plate fins, efficiency,
Plate heat exchangers:
Plate evaporator
Plates:
Plug flow:
Plug flow model, for furnaces,
Pneumatic conveyance,
Pneumatic conveying dryer,
P-NTU method:
Polarization, of thermal radiation,
Polyglycols, as heat transfer media,
Polymers:
Pool boiling,
Porous surfaces:
Port arrangements, in plate heat exchangers,
Portable fouling unit,
Poskas, P,
Postdryout heat transfer:
Powders:
Power law fluid (non-Newtonian),
Power plant:
Prandtl number
Precipitation (crystallization) fouling,
Precipitation hardening, of stainless steels,
Pressure coefficient:
Pressure control of condensers,
Pressure drop:
Pressure gradient:
Pressure, specification of in mechanical design to EN13445,
Pressure testing,
Pressure vessels, principle codes for,
Pressurised water reactor, fouling in,
Printed circuit heat exchanger,
Problem table algorithm, in pinch analysis,
Process heaters:
Progressive plastic deformation
Prolate spheroids, free convective heat transfer from,
Promoters, in dropwise condensation,
Propadiene:
Propane:
1-Propanol:
2-Propanol:
Propeller agitator,
Property ratio method, for temperature dependent physical property
Propionaldehyde:
Propionic acid:
Propionic anhydride:
Proprionitrile:
Propyl acetate:
Propylamine:
Propylbenzene:
Propylcyclohexane:
Propylcyclopentane:
Propylene:
1,3-Propylene glycol:
Propylene oxide:
Propyl formate:
Propyl propionate:
Pseudo-boiling in supercritical fluids,
Pseudo-film boiling in supercritical fluids,
Pseudocritical pressure,
Pseudocritical tempertaure,
Pugh, S F
Pulp and paper industry, fouling of heat exchangers in,
Pulsations, use in augmentation of heat transfer,
Pulverized fuel water-tube boiler,
Pumping, lost work in,
Pushkina and Sorokin correlation, for flooding in vertical tubes,
Pyramid, free convective heat transfer from,
Pyridine:
Index
HEDH
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Packaged units, specification of,
Packing characteristic, in cooling towers,
Packings, for cooling towers
Packings, for fixed beds:
Packinox heat exchanger,
Paints, spectral characteristics of reflectance of surfaces treated with,
Palen, J W
Panchal, C B,
Paraffins, normal and isonormal:
Paraldehyde:
Parallel channel instability, in condensers,
Partial boiling in subcooled forced convective heat transfer,
Participating media, radiation interaction in,
Particle convective component, in heat transfer from fluidized beds,
Particle emissivity,
Particle Reynolds number in fixed beds,
Particles:
Particulate fluidization,
Particulate fouling,
Pass arrangements, in plate heat exchangers,
Passes, tube side,
Passive methods, for augmentation of heat transfer, passive systems for:
PD5500 mechanical design of shell-and-tube heat exchangers to,
Peacock, D K,
Pearson number,
Peclet number
Peng-Robinson equation of state, application to hydrocarbons,
Penner's rule, in absorption of radiation by gases,
Pentachloroethane (Refrigerant 120):
Pentadecane:
Pentadecene:
Pentadiene 1, 2:
Pentadiene 1, trans 3:
Pentadiene 1, 4:
Pentadiene 2-3:
Pentafluoroethane (Refrigerant 125)
Pentamethylbenzene:
Pentane:
Pentanoic acid:
1-Pentanol:
1-Pentene:
cis-2-Pentene:
trans-2-Pentene:
Pentylacetate:
Pentylbenzene:
Pentylcyclohexane:
Pentylcyclopentane:
Pentylcyclopropane, liquid properties,
Perforated fins, in plate fin heat exchangers,
Perforated plates, loss coefficients in,
Periodic operation, of regenerator,
Periodic variations in temperature, thermal conduction in bodies with,
PFR correlation, for heat transfer in high fin tube banks,
Pharmaceutical industry, fouling of heat exchangers in,
Phase change materials, in augmentation of heat transfer,
Phase change number,
Phase equilibrium:
Phase inversion
Phase separation, as source of corrosion problems,
Phenol:
Phenols:
Phenylhydrazine:
Phonons, in thermal conductivity of solids,
Phosgene:
Physical properties:
Pi theorum, in dimensional analysis,
Pinch analysis, for heat exchanger network design,
Pioro, I L
Pioro, LS,
Pipe leads,
Piperidine:
Pipes, circular:
Q
R
S
T
U
V
W
X
Y
Z
augmentation of heat transfer in,
boiling of binary and multicomponent mixtures in,
combined free and forced convection in,
flow boiling in: horizontal pipes,
free convective heat transfer from outside of,
heat transfer to, in fluidized beds,
heat transfer to liquid metals in,
laminar heat transfer in,
pneumatic conveyance (gas solids flow) in,
radiative heat transfer along,
roughened surface, radiative heat transfer along,
single-phase fluid flow and pressure drop in fully developed
transition between laminar and turbulent flows, heat transfer in turbulent heat transfer in,
two-phase gas-liquid flow in,
use in shell-and-tube heat exchangers for single-phase flow,
Pipes, noncircular:
Piping components:
Pitting corrosion, in stainless steels,
Planck's constant,
Planck's law, for spectral distribution of blackbody radiation,
Plane shells, steady-state thermal conduction in,
Plastic deformation
Plate fin heat exchangers
Plate fins, efficiency,
Plate heat exchangers:
Plate evaporator
Plates:
Plug flow:
Plug flow model, for furnaces,
Pneumatic conveyance,
Pneumatic conveying dryer,
P-NTU method:
Polarization, of thermal radiation,
Polyglycols, as heat transfer media,
Polymers:
Pool boiling,
Porous surfaces:
Port arrangements, in plate heat exchangers,
Portable fouling unit,
Poskas, P,
Postdryout heat transfer:
Powders:
Power law fluid (non-Newtonian),
Power plant:
Prandtl number
Precipitation (crystallization) fouling,
Precipitation hardening, of stainless steels,
Pressure coefficient:
Pressure control of condensers,
Pressure drop:
Pressure gradient:
Pressure, specification of in mechanical design to EN13445,
Pressure testing,
Pressure vessels, principle codes for,
Pressurised water reactor, fouling in,
Printed circuit heat exchanger,
Problem table algorithm, in pinch analysis,
Process heaters:
Progressive plastic deformation
Prolate spheroids, free convective heat transfer from,
Promoters, in dropwise condensation,
Propadiene:
Propane:
1-Propanol:
2-Propanol:
Propeller agitator,
Property ratio method, for temperature dependent physical property
Propionaldehyde:
Propionic acid:
Propionic anhydride:
Proprionitrile:
Propyl acetate:
Propylamine:
Propylbenzene:
Propylcyclohexane:
Propylcyclopentane:
Propylene:
1,3-Propylene glycol:
Propylene oxide:
Propyl formate:
Propyl propionate:
Pseudo-boiling in supercritical fluids,
Pseudo-film boiling in supercritical fluids,
Pseudocritical pressure,
Pseudocritical tempertaure,
Pugh, S F
Pulp and paper industry, fouling of heat exchangers in,
Pulsations, use in augmentation of heat transfer,
Pulverized fuel water-tube boiler,
Pumping, lost work in,
Pushkina and Sorokin correlation, for flooding in vertical tubes,
Pyramid, free convective heat transfer from,
Pyridine:
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Radiative Transfer Between Perfectly Diffuse Surfaces
DOI 10.1615/hedhme.a.000206
2.9 HEAT TRANSFER BY RADIATION
2.9.3 Radiative transfer between perfectly diffuse surfaces
D.K. Edwards
A. Shape factors
Recall Equation 204.22, which should be remembered as being the most important one in Section 204:
\[\label{eq1} d^3q^\pm=I^\pm_\nu\cos\theta\,d^2\,\Omega\,d\nu \tag{1}\]
The equation holds for either the radiosity q+ or the irradiation q–, hence the ± notation. This fact has an important result for the shape factor: The shape factor has two equally valid and equally important meanings. (1) The shape factor Fi–j is the fraction of the radiated power leaving diffuse surface i that is intercepted by surface j. (2) The shape factor Fi–j is the fractional weight to be given the radiosity of diffuse surface j in summing up the irradiation upon surface i, or, put another way, it is the fraction of the surrounds of surface i taken up by surface j.
In what immediately follows, the equations will be written without ν or λ subscripts to denote a spectral quantity, but inspection of Equation 204.22 and Equation 204.23 shows that the same expression holds for either spectral or total quantities.
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