Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel

YANG Xiao; LIU Xue-mei

Volume 27 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(8): 978-986

YANG Xiao, LIU Xue-mei. Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel[J]. Applied Mathematics and Mechanics, 2006, 27(8): 978-986.

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Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel

YANG Xiao^1,2,
LIU Xue-mei^1,2

1.
Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;

Received Date: 2005-06-13
Rev Recd Date: 2006-04-27
Publish Date: 2006-08-15

Abstract

Abstract

Based on the two energy equation model,taking into account viscous dissipation due to the interaction between solid skeleton and pore fluid flow,temperature expressions of the solid skeleton and pore fluid flow were obtained analytically for the thermally developing forced convection in a saturated porous medium parallel plate channel,with walls being at constant temperature.It was proved that the temperatures of the two phases for the local thermal nonequilibrium will approach the temperature derived from the one-energy equation model for the local thermal equilibrium when the heat exchange coefficient goes to infinite.The temperature profiles were shown in figures for different dimensionless parameters and the effects of the parameters on the local thermal nonequilibrium is revealed by the parameter study.
- porous medium,
- thermally developing forced convection,
- local thermal nonequilibrium,
- Brinkman number,
- Biot number,
- P clet number

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References

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