New numerical treatment of source term in convective transfer of heat between fluid and porous solid matrix

Purpose – The purpose of this paper is to report a novel formulation of convective heat transfer source term for the case of flow through porous medium. Design/methodology/approach – The novel formulation is obtained by analytical solution of an idealized dual problem. Computations are performed by...

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Vydáno v:International journal of numerical methods for heat & fluid flow Ročník 26; číslo 2; s. 409 - 426
Hlavní autoři: Hajek, Jiri, Jurena, Tomas
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bradford Emerald Group Publishing Limited 07.03.2016
Témata:
Accuracy
Algorithms
Boundary conditions
Catalysis
Chemical reactions
Combustion
Computational fluid dynamics
Computer simulation
Computers
Convection
Convective heat transfer
Cooling
Energy
Engineering
Finite volume method
Fixed bed reactors
Fixed beds
Flow velocity
Fluid flow
Fluids
Heat transfer
Kilns
Mathematical models
Mechanical engineering
Oxidation
Partial differential equations
Porous media
Porous media flow
Radiation
Simulation
Temperature differences
Temperature gradients
Porous media
Convective heat transfer
Fixed bed combustion
Fluid
Source term
Flow
ISSN:0961-5539, 1758-6585
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Shrnutí:Purpose – The purpose of this paper is to report a novel formulation of convective heat transfer source term for the case of flow through porous medium. Design/methodology/approach – The novel formulation is obtained by analytical solution of an idealized dual problem. Computations are performed by dedicated tool for fixed bed combustion named GRATECAL and developed by the authors. However, the proposed method can also be applied to other porous media flow problems. Findings – The new source term formulation is unconditionally stable and it respects exponential decay of temperature difference between the fluid and porous solid medium. Practical/implications – The results of this work are applicable in the simulation of convective heat transfer between the fluid and porous medium. Applications include e.g. fixed bed combustion, catalytic reactors and lime kilns. Originality/value – The reported solution is believed to be original. It will be useful to all involved in numerical simulations of fluid flow in porous media with convective heat transfer.
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ISSN:0961-5539
1758-6585
DOI:10.1108/HFF-02-2015-0064