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G-type shells in shell-and-tube heat exchangers: Gaddis, E S, Galerkin method, for heat conduction finite-element calculations, Galileo number, Gas-liquid flows: Gas-liquid-solid interfaces, fouling at, Gas-solid interfaces, fouling at, Gas tungsten arc welding, Gaseous fuels, properties of, Gases: Gaskets: Gauss-Seidel method, for solution of implicit equations, Geometric optics models for radiative heat transfer from surfaces, geothermal brines, fouling of heat exchangers by, Germany, Federal Republic of, mechanical design of heat exchangers in: Gersten, K, Girth flanges, in shell-and-tube heat exchangers, Glass production, furnaces and kilns for, Glycerol (glycerine): Gn (heat generation number), Gnielinski, V Gnielinski correlation, for heat transfer in tube banks, Gomez-Thodas method, for vapour pressure, Goodness factor, as a basis for comparison of plate fin heat exchanger surfaces, Goody narrow band model for gas radiation properties, Gorenflo correlation, for nucleate boiling, Gowenlock, R, Graetz number: Granular products, moving, heat transfer to, Graphite, density of, Grashof number Gravitational acceleration, effect in pool boiling, Gravity conveyor: Gregorig effect in enhancement of condensation, Grid baffles: Grid selection, for finite difference method, Griffin, J M, Groeneveld correlation for postdryout heat transfer, Groeneveld and Delorme correlation for postdryout heat transfer, Gross plastic deformation Group contribution parameters tables, Guerrieri and Talty correlations for forced convective heat transfer in two-phase flow, Gungor and Winterton correlation, for forced convective boiling, Gylys, J,
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Heat transfer from a wall to granular products

DOI 10.1615/hedhme.a.000202

2.8 HEAT TRANSFER TO GAS-SOLID SYSTEMS
2.8.3 Heat Transfer From a Wall to Granular Products

A. General Method of Calculation

In the applications referred to in Section 201, the fluid flowing through the packed bed has, typically, to be processed, and the solids help to do this in an efficient way. In many cases, however, the solids themselves are the product to be treated thermally by contact with a heat exchanger surface. The heat transfer coefficient α can be expressed in general form as

\[\label{eq1} \frac{1}{\alpha}=\dfrac{1}{\alpha_{\rm ws}}+\dfrac{1}{\alpha_{\rm bed}}\tag{1}\,,\]

with

\[\label{eq2} \alpha_{\rm bed}=\dfrac{2}{\sqrt{\pi}}\dfrac{\sqrt{(\lambda\rho c)_{{\rm bed},i}}}{\sqrt{t_{j}}}f(\mbox{Ph})\tag{2}\]

for particles of aluminum silicate, , : emissivities of wall, respectively, bed, = ): radiation coefficient of the black body]. For the modified mean-free path of the gas molecules , can be applied.

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