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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):
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Fixed Beds

DOI 10.1615/hedhme.a.000147

2.2.5 Fixed beds

The structural properties of fixed beds have been extensively reviewed by Haughey and Beveridge (1969). Two categories of fixed bed exist: regular and random packed. Regular packings provide complete control of bed voidage and surface area, but assembly is expensive. Regular packings are used, however, in thermal regenerators, checkerwork in high-temperature stoves in the glass and steel industries, and metallic matrix arrangements in the Ljungstrom rotary regenerators used in the power generation industry. In all these situations the pressure drop across the fixed bed must be small.

Random packings are found in a wide range of industrial operations: adsorption, catalysis, combustion, filtration, separation, and solid-fluid contacting in general. They are formed by the haphazard positioning of particles to provide a bed and the average bed properties are largely dependent on the mode of assembly (Debbas and Rumpf, 1966). The geometrical shape of fixed beds is normally cylindrical with the flow of the fluid parallel to the axis of the cylinder, however radial flow through annular beds is also used, when low pressure drop restrictions are specified. Only an infinitely sized bed is wholly random, but this is closely approached when the ratios of the container diameter (D) or diameters (Di and D0) and container length L to the particle diameter (d) are greater than 10 (Ridgway and Tarbuck, 1967). Random beds are simple in design, assembly is cheap, and construction is rugged.

Fixed beds are normally characterized by the specific surface area of the bed SB and the mean fractional voidage of the bed, εm. The latter is defined as the free volume of the bed divided by the volume of the bed, that is,

\[\label{eq1} \varepsilon_{m}=\dfrac{bed\;volume - packing\;volume}{bed\;volume}\tag{1}\]

and the specific surface area of the bed is strictly dependent on the value of the mean bed voidage, εm. The specific surface area of the particles S is defined as the surface area of the particles divided by the volume of the particles. For a sphere,

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