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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, 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

Survey of Shell-Side Flow Correlations

DOI 10.1615/hedhme.a.000248

3.3.2 Survey of shell-side flow correlations

It is essential that the designer of shell-and-tube exchangers becomes familiar with the principles of the various correlations and methods in numerous publications, their advantages and disadvantages, limitations, and degrees of sophistication versus probable accuracy and other related aspects. All the published methods can be logically divided into several groups:

  1. The early developments based on flow over ideal tube banks or even single tubes.
  2. The “integral” approach, which recognizes baffled cross flow modified by the presence of a window, but treats the problem on an overall basis without consideration of the modifying effects of leakage and bypass.
  3. The “analytical” approach based on Tinker’s multistream model and his simplified method.
  4. The “stream analysis method”, which utilizes a rigorous reiterative approach based on Tinker’s model.
  5. The Delaware method, which uses the principles of the Tinker model but interprets them on an overall basis, that is, without reiterations.
  6. Numerical prediction methods. Here an attempt is made to predict the shell-side flow pattern by solving the flow equations numerically for a mesh suitably selected to describe the shell. Applications of this method are described by Patankar and Spalding (1974) and Butterworth (1978). Once the velocity is specified, the heat transfer coefficient may also be calculated on a local basis. However, although this method is promising, it is difficult to apply to complex cases and, for design purposes, it is not yet a substitute for the other methods listed.

A good review of the state of the art as of 1960 was published by Emerson (1962 and 1963). Only the most pertinent comments to the various correlations and methods of the “early and integral” type are included here, mainly because some are still used in industry. The more recent methods based on Tinker’s flow model will be reviewed in greater detail, as present and foreseeable future developments appear to be best handled by this approach.

A. Early developments

It was recognized in the early 1930s that baffled shell-side flow will behave similarly to flow across ideal tube banks, for which wind tunnel data were emerging. The first heat transfer correlation suggested is due to Colburn (1933) in the form

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