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Baffle leakage in shell-and-tube heat exchangers: Baffles in shell-and-tube heat exchangers: Baker flow regime map for horizontal gas-liquid flow, Balance equation (applied to complete equipment), Band dryer: Bandel and Schlunder correlations, for boiling in horizontal tubes, Basket-type evaporator, Barbosa, J R Jr, Bateman, G, Bayonet tube heat exchangers, constructional features of, Bayonet tube evaporators, Beaton, C F, Beer-Lambert law, Bejan, A, Bell-Delaware method for shell-side heat transfer and pressure drop in shell-and-tube heat exchangers, Bell and Ghaly method for calculation of multicomponent condensation, Benard cells in free convection in horizontal fluid layers,
Free Convection in Layers and Enclosures
Bends: Benzaldehyde: Benzene: Benzoic acid: Benzonitrile: Benzophenone: Benzyl alcohol: Benzyl chloride: Berenson equation for pool film boiling from a horizontal surface, Bergles, Arthur E, Bernoulli equation, application to flow across cylinders, Bimetallic tubes: Binary mixtures: Bingham fluid (non-Newtonian), Biofouling, Biot number: Biphenyl: Bismarck A, Black liquor, in pulp and paper industry, fouling of heat exchangers by, Black surface: Blackbody radiation, Blades, in scraped surface heat exchangers, Blake-Carmen-Kozeny equation, Blasius equation for friction factor, Blenkin, R, Blunt bodies, drag coefficients for, Boilers: Boiling: Boiling curve: Boiling length: Boiling number, definition, Boiling point, normal, Boiling range (in multicomponent mixtures): Boiling surface in boiling in vertical tubes, Boiling Water Reactor (BWR), fouling problems in, Bolted channel head in shell-and-tube exchanger, Bolted cone head in shell-and-tube heat exchanger, Bolted joints, thermal contact resistance in, Bolting, Bolting of flanges in shell-and-tube heat exchangers, Boltzmann's constant, Bonnet head, in shell-and-tube heat exchanger, Borishanski, V M, Borishanski correlation for nucleate pool boiling, Bott, T R, Boundary layer: Boussinesq approximations: Boussinesq number, definition, Bowring correlations for critical heat flux, Bracket supports for heat exchangers: Brauner, N, Brazed plate exchanger, Brazing in plate fin heat exchanger construction, Bricks, drying of, Brine recirculation, in multistage flash-evaporation, Brinkman number, Brittle fracture, Bromine: Bromley equation for film boiling from horizontal cylinders, Bromobenzene: Bromoethane: Bromomethane: Bromotrifluoromethane (Refrigerant 13B1): Brush and cage system, for fouling mitigation, BS 5500 code for mechanical design of shell-and-tube heat exchangers (see also PD 5500), Bubble crowding as mechanism of critical heat flux, Bubble flow: Bubbles: Bulk viscosity, Bundle-induced convection in kettle reboilers, Bundle layout, in condensers Buoyancy effects: Buoyancy-induced flow in channels, free convective heat transfer with, Busemann-Crocco integral, application in boundary layer equations, 1,2-Butadiene: 1,3-Butadiene: Butane: 1-Butanol: 2-Butanol: Butene-1: cis-2-Butene: trans-2-Butene: Butterworth, D, Butyl acetate: t-Butyl alcohol: Butylamine: Butylbenzene: n-Butylbenzene: n-Butylcyclohexane: Butylcyclopentane: Butylene oxide: Butyr-aldehyde: Butyric acid: Butyronitrile: Bypass (shell-and-tube bundle):

Index

HEDH
A B
Baffle leakage in shell-and-tube heat exchangers: Baffles in shell-and-tube heat exchangers: Baker flow regime map for horizontal gas-liquid flow, Balance equation (applied to complete equipment), Band dryer: Bandel and Schlunder correlations, for boiling in horizontal tubes, Basket-type evaporator, Barbosa, J R Jr, Bateman, G, Bayonet tube heat exchangers, constructional features of, Bayonet tube evaporators, Beaton, C F, Beer-Lambert law, Bejan, A, Bell-Delaware method for shell-side heat transfer and pressure drop in shell-and-tube heat exchangers, Bell and Ghaly method for calculation of multicomponent condensation, Benard cells in free convection in horizontal fluid layers,
Free Convection in Layers and Enclosures
Bends: Benzaldehyde: Benzene: Benzoic acid: Benzonitrile: Benzophenone: Benzyl alcohol: Benzyl chloride: Berenson equation for pool film boiling from a horizontal surface, Bergles, Arthur E, Bernoulli equation, application to flow across cylinders, Bimetallic tubes: Binary mixtures: Bingham fluid (non-Newtonian), Biofouling, Biot number: Biphenyl: Bismarck A, Black liquor, in pulp and paper industry, fouling of heat exchangers by, Black surface: Blackbody radiation, Blades, in scraped surface heat exchangers, Blake-Carmen-Kozeny equation, Blasius equation for friction factor, Blenkin, R, Blunt bodies, drag coefficients for, Boilers: Boiling: Boiling curve: Boiling length: Boiling number, definition, Boiling point, normal, Boiling range (in multicomponent mixtures): Boiling surface in boiling in vertical tubes, Boiling Water Reactor (BWR), fouling problems in, Bolted channel head in shell-and-tube exchanger, Bolted cone head in shell-and-tube heat exchanger, Bolted joints, thermal contact resistance in, Bolting, Bolting of flanges in shell-and-tube heat exchangers, Boltzmann's constant, Bonnet head, in shell-and-tube heat exchanger, Borishanski, V M, Borishanski correlation for nucleate pool boiling, Bott, T R, Boundary layer: Boussinesq approximations: Boussinesq number, definition, Bowring correlations for critical heat flux, Bracket supports for heat exchangers: Brauner, N, Brazed plate exchanger, Brazing in plate fin heat exchanger construction, Bricks, drying of, Brine recirculation, in multistage flash-evaporation, Brinkman number, Brittle fracture, Bromine: Bromley equation for film boiling from horizontal cylinders, Bromobenzene: Bromoethane: Bromomethane: Bromotrifluoromethane (Refrigerant 13B1): Brush and cage system, for fouling mitigation, BS 5500 code for mechanical design of shell-and-tube heat exchangers (see also PD 5500), Bubble crowding as mechanism of critical heat flux, Bubble flow: Bubbles: Bulk viscosity, Bundle-induced convection in kettle reboilers, Bundle layout, in condensers Buoyancy effects: Buoyancy-induced flow in channels, free convective heat transfer with, Busemann-Crocco integral, application in boundary layer equations, 1,2-Butadiene: 1,3-Butadiene: Butane: 1-Butanol: 2-Butanol: Butene-1: cis-2-Butene: trans-2-Butene: Butterworth, D, Butyl acetate: t-Butyl alcohol: Butylamine: Butylbenzene: n-Butylbenzene: n-Butylcyclohexane: Butylcyclopentane: Butylene oxide: Butyr-aldehyde: Butyric acid: Butyronitrile: Bypass (shell-and-tube bundle):
C D E F G H I J K L M N O P Q R S T U V W X Y Z
B Benard cells in free convection in horizontal fluid layers,
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Free Convection in Layers and Enclosures

DOI 10.1615/hedhme.a.000175

2.5 SINGLE-PHASE CONVECTIVE HEAT TRANSFER
2.5.8 Free convection in layers and enclosures

S. W. Churchill

Natural convection occurs in enclosures as a result of gradients in density, which are in turn due to variations in temperature or concentration. The rate of heat transfer is usually characterized by a Nusselt number as a function of a Rayleigh number, the Prandtl number, the geometry, and the boundary and initial conditions. The Nusselt and Rayleigh numbers are ordinarily based on the external temperature difference and the dimension of the enclosure in the direction of heat transfer, with some exceptions as noted below. The other variables in these groups are defined as in Section 174.

Catton (1978) provides a recent, comprehensive, and interpretive review of natural convection in enclosures. Ostrach (1972 and 1975) discusses cylindrical and rectangular enclosures in somewhat greater detail. Koschmieder (1974) has reviewed Bénard-type convection and Buchberg et al. (1976) applications of natural convection in solar collectors. Churchill and Ozoe (n.d.) have utilized theoretical and experimental results for asymptotic conditions to develop correlating equations for heat transfer in rectangular and cylindrical enclosures for a wide range of conditions with special attention to the effect of the angles of inclination and rotation.

In this section a description of the fluid motion is provided and correlations are recommended for heat transfer for conditions of primary practical importance. Referral to the references cited herein and in the above reviews is suggested for derivations and further details.

Experimental results for natural convection in enclosures are generally less accurate than for forced convection owing to difficulty in repressing and evaluating the heat fluxes through and along the nonisothermal walls. As a consequence, discrepancies between various sets of data are not completely resolved. Also, the time scale of experiments, particularly with liquids, is sometimes insufficient to attain the true stationary state.

Theoretical results are limited in accuracy and scope owing to the inherent three dimensionality of the velocity and temperature fields in all enclosures with two or three finite dimensions. This three dimensionality affects the transitions from one mode of circulation to another. If one or the other aspect ratio is near unity, the three dimensionality affects the rates of circulation and heat transfer significantly. Even so, the many two- dimensional and the few three-dimensional solutions provide a useful basis for the interpretation, correlation, and extrapolation of the experimental values.

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