Effective Thermal Conductivity of Porous Material and Mixed Convection in a Vertical Channel Embedded in Porous Media

博士 === 大同工學院 === 機械工程研究所 === 81 === Based on the unit cell model, experimental and numerical studies on the effective thermal conductivity of porous material with spherical inclusions in a tetragonal or simple cubic array have been performed. As the unit...

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Bibliographic Details
Main Authors: Kuen-Tzong Lu, 盧崑宗
Other Authors: Hong-Sen Kou
Format: Others
Language:en_US
Published: 1993
Online Access:http://ndltd.ncl.edu.tw/handle/69876464067169142104
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Summary:博士 === 大同工學院 === 機械工程研究所 === 81 === Based on the unit cell model, experimental and numerical studies on the effective thermal conductivity of porous material with spherical inclusions in a tetragonal or simple cubic array have been performed. As the unit cell is in simple cubic array, the results are in good agreement with some existing models predicted by Maxwell [23], Rayleigh [24], and Davis [28]. As to the unit cell in tetragonal array, all the experimental and numerical results show that the distance between the spheres in the direction of heat flow has a more significant effect on the effective thermal conductivity than other directions. In addition, the transverse effective thermal conductivity of composite containing long rectangularly shaped conductors in a matrix with rectangular or staggered pattern has been investigated by finite element method. Finally, the fully developed laminar mixed convection in a vertical channel embedded in porous media has been solved by non-Darcian flow model. For the boundary conditions on the left and right walls prescribed as isothermal-isothermal, the exact solution for temperature and velocity profiles are obtained to investigate the influence of Darcian force, buoyancy force and boundary effect. The numerical solution is also provided to investigate their further influence due to the existence of inertia force. The exact solution and Nusselt number for isoflux-isoflux boundary conditions are also derived by using non-Darcy flow model. Meanwhile, the parametric zone for the occurrence of flow reversal based on the analytical solutions are presented.