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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
Cabin heater,
Caetano, EF
Calcium carbonate, fouling of heat exchangers by,
Calcium sulphate, fouling of heat exchangers by,
CALFLO, heat transfer media,
Calorically perfect gas,
CANDU Reactor, fouling problems in,
Carbon dioxide:
Carbon disulfide:
Carbon monoxide:
Carbon steel:
Carbon-manganese steels
Carbon-molybdenum steels,
Carbon tetrachloride:
Carbonyl sulfide:
Carboxylic acids:
Carnot cycle in refrigeration,
Carnot factor,
Carreau fluid (non-Newtonian),
Carryover of solids in fluidized beds,
Cashman, B L,
Cast iron, thermal and mechanical properties,
Cavitation as source of damage in heat exchangers,
Cell method, for heat exchanger effectiveness,
Cement kilns,
CEN code for pressure vessels,
Centrifugal dryer,
Ceramics
Certification of heat exchangers,
Chan, S H,
Channel emissivity,
Chapman-Rubescin formula for viscosity variation with temperature,
Chemical exergy,
Chemical formulas of commonly used fluids
Chemical industry, fouling of heat exchangers in,
Chemical reactions, exergy analysis of,
Chemical reaction fouling,
Chen correlation for forced convective boiling,
Chen method, for enthalpy of vaporisation,
Chenoweth, J M,
Chevron troughs as corrugation design in plate heat exchangers,
Chillers, construction features of,
Chilton-Colburn analogy,
Chisholm, D
Chisholm correlations:
Chlorine:
Chloroacetic acid:
Chlorobenzene:
Chlorobutane:
Chlorodifluoromethane (see Refrigerant 22)
1-Chloro-1,1-difluoroethane (Refrigerant 142b):
Chloroethane (Refrigerant 160):
Chloromethane (Refrigerant 40):
Chloropentane:
1,2-Chloropentafluoroethane (Refrigerant 115):
Chloroprene (2-Chloro-1,3-butadiene):
1-Chloropropane:
2-Chloropropane:
m-Chlorotoluene:
o-Chlorotoluene:
Chlorotrifluoroethylene:
Chlorotrifluoromethane (see Refrigerant 13)
Chromium-molybdenum steels,
Chudnovsky, Y,
Chugging flow (gas-liquid), in shell-and-tube heat exchangers,
Chung et al method, for viscosity of low pressure gases,
Church and Prausnitz methods:
Churchill, S W,
Churchill and Chu correlations for free convective heat transfer:
Churn flow, regions of occurrence of,
Circles, radiative heat transfer shape factors between parallel coaxial,
Circular girth flanges, design according to ASME VIII code,
Circulating fluidized beds,
Circulation, modes of in free convection: in enclosures heated from below,
CISE correlations for void fractions,
Clausius-Clapeyron relationship:
Cleaning:
Climbing film evaporator,
Closed circuit cooling towers,
Coalescence of bubbles in fluidized beds,
Coatings for corrosion protection
Cocurrent flow:
Codes, mechanical design:
Cogeneration
Colburn and Drew method for binary vapor condensation,
Colburn and Hougen method for condensation in presence of noncondensable gases
Colburn equation for single-phase heat transfer outside tube banks,
Colburn j factor:
Colebrook-White equation for friction factor in rough circular pipe,
Coles, law of the wake,
Collier, J G,
Combined free and forced convection heat transfer:
Combined heat and mass transfer,
Combining flow, loss coefficients in,
Combustion model for furnaces,
Compact heat exchangers (see Plate fin heat exchangers)
Compartment dryers,
Composite curves, in the pinch analysis method for heat exchanger network analysis:
Compressed liquids, density of:
Compressible flow:
Compression, exergy analysis of
Compressive stress, in heat exchanger tubes,
Computer-aided design, of evaporators,
Computer program for Monte Carlo calculations of radiative heat transfer,
Computer simulation, of fouling,
Computer software for mechanical design,
Concentration, choice of evaporator type for,
Concentric spheres, free convective heat transfer in,
Concurrency corrections in plate heat exchangers,
Condensation:
Concrete, lightweight, submerged combustion system for,
Condensation curves:
Condenser/preheater tubes, in multistage flash evaporation,
Condensers:
Conduction, heat:
Conductors, thermal conductivity of,
Cones, under internal pressure, EN13445 guidelines for,
Cones, vertical:
Conical shells, mechanical design of:
Conjugate radiation interactions
Connors equation for fluid elastic instability,
Conservation equations:
Constantinon and Gani method, for estimating normal boiling point,
Contact angle,
Contact resistance:
Continuity equation:
Continuum model, for fluids,
Continuum theories, for non-Newtonian fluids,
Contraction, sudden, pressure drop in:
Control:
Control volume method, in finite difference solutions for conduction,
Convection, interaction of radiation with,
Convection effects, on heat transfer in kettle reboilers,
Convective heat transfer, single-phase:
around immersed bodies: single bodies,
augmentation of,
in combined free and forced convection (see Combined free and forced convection)
effect of radiation on,
in fixed beds,
in flow over tube banks,
forced convection in ducts,
in free convection: immersed bodies,
with impinging jets,
in liquid metal systems,
with non-Newtonian fluids,
Conversion factors:
Conveyor, gravity:
Cooling curves, in condensation,
Cooling towers:
Cooling water fouling,
Cooper correlation, for nucleate boiling,
Cooper, Anthony,
Copper, thermal and mechanical properties,
Copper alloys,
Correlation, general nature of,
Corresponding states principle
Corrosion:
Corrugation design, for plate heat exchangers
Costing of heat exchangers:
Countercurrent flow:
Coupled thermal fields, in transient conduction,
Cowie, R C,
Crank-Nicolson differencing scheme, in finite difference method,
Creeping flow, in combined free and forced convection around immersed bodies,
m-Cresol:
o-Cresol:
p-Cresol:
Crevice corrosion, in stainless steels,
Critical constants
Critical density, of commonly used fluids,
Critical flow, in gas-liquid systems,
Critical heat flux:
Critical pressure:
Critical Rayleigh number, in free convection,
Critical temperature:
Critical velocity, in stratification in bends and horizontal tubes,
Critical volume (see also Critical density)
Cross counterflow heat exchangers,
Crossflow:
Crude oil, fouling of heat exchangers:
Cryogenic plant, entropy generation in,
Crystallization
Crystallization fouling,
Curved ducts:
Cut-and-twist factor, in enhancement of heat transfer in double pipe heat exchangers,
C-value method for heat exchanger costing,
Cycling, of expansion bellows,
Cyclobutane:
Cyclohexane:
Cyclohexanol:
Cyclohexene:
Cyclopentane:
Cyclopentene:
Cyclopropane:
Cylinders:
Cylindrical contacts, thermal contact resistance in,
Cylindrical coordinates, finite difference equations for conduction in,
Cylindrical shell, analytical basis of code rules for,
Heat Transfer for non-Newtonian Fluids
in channels with viscous heating,
in channels without viscous heating,
with dilute polymer solution,
in agitated beds,
to moving granular solids,
Index
HEDH
A
B
C
Cabin heater,
Caetano, EF
Calcium carbonate, fouling of heat exchangers by,
Calcium sulphate, fouling of heat exchangers by,
CALFLO, heat transfer media,
Calorically perfect gas,
CANDU Reactor, fouling problems in,
Carbon dioxide:
Carbon disulfide:
Carbon monoxide:
Carbon steel:
Carbon-manganese steels
Carbon-molybdenum steels,
Carbon tetrachloride:
Carbonyl sulfide:
Carboxylic acids:
Carnot cycle in refrigeration,
Carnot factor,
Carreau fluid (non-Newtonian),
Carryover of solids in fluidized beds,
Cashman, B L,
Cast iron, thermal and mechanical properties,
Cavitation as source of damage in heat exchangers,
Cell method, for heat exchanger effectiveness,
Cement kilns,
CEN code for pressure vessels,
Centrifugal dryer,
Ceramics
Certification of heat exchangers,
Chan, S H,
Channel emissivity,
Chapman-Rubescin formula for viscosity variation with temperature,
Chemical exergy,
Chemical formulas of commonly used fluids
Chemical industry, fouling of heat exchangers in,
Chemical reactions, exergy analysis of,
Chemical reaction fouling,
Chen correlation for forced convective boiling,
Chen method, for enthalpy of vaporisation,
Chenoweth, J M,
Chevron troughs as corrugation design in plate heat exchangers,
Chillers, construction features of,
Chilton-Colburn analogy,
Chisholm, D
Chisholm correlations:
Chlorine:
Chloroacetic acid:
Chlorobenzene:
Chlorobutane:
Chlorodifluoromethane (see Refrigerant 22)
1-Chloro-1,1-difluoroethane (Refrigerant 142b):
Chloroethane (Refrigerant 160):
Chloromethane (Refrigerant 40):
Chloropentane:
1,2-Chloropentafluoroethane (Refrigerant 115):
Chloroprene (2-Chloro-1,3-butadiene):
1-Chloropropane:
2-Chloropropane:
m-Chlorotoluene:
o-Chlorotoluene:
Chlorotrifluoroethylene:
Chlorotrifluoromethane (see Refrigerant 13)
Chromium-molybdenum steels,
Chudnovsky, Y,
Chugging flow (gas-liquid), in shell-and-tube heat exchangers,
Chung et al method, for viscosity of low pressure gases,
Church and Prausnitz methods:
Churchill, S W,
Churchill and Chu correlations for free convective heat transfer:
Churn flow, regions of occurrence of,
Circles, radiative heat transfer shape factors between parallel coaxial,
Circular girth flanges, design according to ASME VIII code,
Circulating fluidized beds,
Circulation, modes of in free convection: in enclosures heated from below,
CISE correlations for void fractions,
Clausius-Clapeyron relationship:
Cleaning:
Climbing film evaporator,
Closed circuit cooling towers,
Coalescence of bubbles in fluidized beds,
Coatings for corrosion protection
Cocurrent flow:
Codes, mechanical design:
Cogeneration
Colburn and Drew method for binary vapor condensation,
Colburn and Hougen method for condensation in presence of noncondensable gases
Colburn equation for single-phase heat transfer outside tube banks,
Colburn j factor:
Colebrook-White equation for friction factor in rough circular pipe,
Coles, law of the wake,
Collier, J G,
Combined free and forced convection heat transfer:
Combined heat and mass transfer,
Combining flow, loss coefficients in,
Combustion model for furnaces,
Compact heat exchangers (see Plate fin heat exchangers)
Compartment dryers,
Composite curves, in the pinch analysis method for heat exchanger network analysis:
Compressed liquids, density of:
Compressible flow:
Compression, exergy analysis of
Compressive stress, in heat exchanger tubes,
Computer-aided design, of evaporators,
Computer program for Monte Carlo calculations of radiative heat transfer,
Computer simulation, of fouling,
Computer software for mechanical design,
Concentration, choice of evaporator type for,
Concentric spheres, free convective heat transfer in,
Concurrency corrections in plate heat exchangers,
Condensation:
Concrete, lightweight, submerged combustion system for,
Condensation curves:
Condenser/preheater tubes, in multistage flash evaporation,
Condensers:
Conduction, heat:
Conductors, thermal conductivity of,
Cones, under internal pressure, EN13445 guidelines for,
Cones, vertical:
Conical shells, mechanical design of:
Conjugate radiation interactions
Connors equation for fluid elastic instability,
Conservation equations:
Constantinon and Gani method, for estimating normal boiling point,
Contact angle,
Contact resistance:
Continuity equation:
Continuum model, for fluids,
Continuum theories, for non-Newtonian fluids,
Contraction, sudden, pressure drop in:
Control:
Control volume method, in finite difference solutions for conduction,
Convection, interaction of radiation with,
Convection effects, on heat transfer in kettle reboilers,
Convective heat transfer, single-phase:
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
around immersed bodies: single bodies,
augmentation of,
in combined free and forced convection (see Combined free and forced convection)
effect of radiation on,
in fixed beds,
in flow over tube banks,
forced convection in ducts,
in free convection: immersed bodies,
with impinging jets,
in liquid metal systems,
with non-Newtonian fluids,
Conversion factors:
Conveyor, gravity:
Cooling curves, in condensation,
Cooling towers:
Cooling water fouling,
Cooper correlation, for nucleate boiling,
Cooper, Anthony,
Copper, thermal and mechanical properties,
Copper alloys,
Correlation, general nature of,
Corresponding states principle
Corrosion:
Corrugation design, for plate heat exchangers
Costing of heat exchangers:
Countercurrent flow:
Coupled thermal fields, in transient conduction,
Cowie, R C,
Crank-Nicolson differencing scheme, in finite difference method,
Creeping flow, in combined free and forced convection around immersed bodies,
m-Cresol:
o-Cresol:
p-Cresol:
Crevice corrosion, in stainless steels,
Critical constants
Critical density, of commonly used fluids,
Critical flow, in gas-liquid systems,
Critical heat flux:
Critical pressure:
Critical Rayleigh number, in free convection,
Critical temperature:
Critical velocity, in stratification in bends and horizontal tubes,
Critical volume (see also Critical density)
Cross counterflow heat exchangers,
Crossflow:
Crude oil, fouling of heat exchangers:
Cryogenic plant, entropy generation in,
Crystallization
Crystallization fouling,
Curved ducts:
Cut-and-twist factor, in enhancement of heat transfer in double pipe heat exchangers,
C-value method for heat exchanger costing,
Cycling, of expansion bellows,
Cyclobutane:
Cyclohexane:
Cyclohexanol:
Cyclohexene:
Cyclopentane:
Cyclopentene:
Cyclopropane:
Cylinders:
Cylindrical contacts, thermal contact resistance in,
Cylindrical coordinates, finite difference equations for conduction in,
Cylindrical shell, analytical basis of code rules for,
Heat Transfer for non-Newtonian Fluids
in channels with viscous heating,
in channels without viscous heating,
with dilute polymer solution,
in agitated beds,
to moving granular solids,
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Heat Transfer for non-Newtonian Fluids
DOI 10.1615/hedhme.a.000179
2.5.12 Heat transfer for non-Newtonian fluids
R. C. Armstrong, B. K. Rao, H. H. Winter
A. Introduction
(by R. C. Armstrong and H. H. Winter)
Section 179 describes ways in which heat transfer in non-Newtonian fluids is different from that in Newtonian fluids. As polymers constitute the largest class of non-Newtonian fluids, we shall focus our attention on them. Moreover, we shall focus on differences in heat transfer characteristics between Newtonian and polymeric fluids that can be attributed to differences in viscous behavior between these two classes of fluids. These distinctions involve both the shear rate dependence that is commonly observed in non-Newtonian fluids and also the different magnitude of the viscosity in polymers as opposed to low-molecular-weight fluids. In addition to these viscous effects, it is clearly possible that many interesting changes in heat transfer problems could result from the "elastic" character of polymeric fluids. For example, in duct flows involving noncircular cross sections, certain non-Newtonian fluids show qualitatively different secondary velocity patterns than Newtonian fluids. These clearly have some effect on heat transfer. Very little can yet be said quantitatively about these "elastic" effects, however.*
In addition to these differences in heat transfer between Newtonian and non-Newtonian fluids, there are differences in the kinds of information that we are generally interested in for nonisothermal flows of these two classes of fluids. Let us break the possible calculations into two categories: global and local. For Newtonian fluids it is the global result, the evaluation of a heat transfer coefficient to relate bulk temperature differences to heat fluxes, that is of most interest. This heat transfer coefficient, which is used for sizing heat exchanger equipment and estimating bulk temperature changes, is not as useful for non-Newtonian fluids for two reasons: first, in problems with significant viscous heating, which are common for molten polymers, the heat transfer coefficient cannot be defined meaningfully; and second, because of the peculiar physical properties of polymers, heat transfer between a flowing polymer and its surroundings is generally ignored. There are, of course, exceptions to this last statement, such as cooling extruders for low-temperature extrusion of foamed polymers and cooling of polymerization reactors.
For polymeric fluids, evaluation of the local temperature field is usually of primary interest. Because of the sensitivity of the physical properties to temperature, the temperature field can have a pronounced effect on the flow field and therefore on the process itself. In addition, many polymers are temperature sensitive and will degrade at high temperatures, say, at Tdegrad. It is important to be sure that the local temperature never exceeds Tdegrad. Finally, relaxation phenomena in polymers are strongly temperature sensitive, and the amount and location of residual stress or strain in a polymeric product will depend on the local temperature history of the polymer.
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