A Local Thermal Non-Equilibrium Analysis of Fully Developed Forced Convective Flow in a Tube Filled with a Porous Medium |
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| Authors: | C. Yang K. Ando A. Nakayama |
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| Affiliation: | 1.Department of Mechanical Engineering,Shizuoka University,Hamamatsu,Japan;2.School of Energy and Power Engineering,Huazhong University of Science and Technology,Wuhan,People’s Republic of China;3.Research Division,Nitto Kogyo Corporation,Nagakute-Cho, Aichi-Gun,Japan;4.School of Civil Engineering and Architecture,Wuhan Polytechnic University,Wuhan,China |
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| Abstract: | A local thermal non-equilibrium model has been considered for the case of thermally fully developed flow within a constant heat flux tube filled with a porous medium. Exact temperature profiles for the fluid and solid phases are found after combining the two individual energy equations and then transforming them into a single ordinary differential equation with respect to the temperature difference between the solid phase and the wall subject to constant heat flux. The exact solutions for the case of metal-foam and air combination reveal that the local thermal equilibrium assumption may fail for the case of constant heat flux wall. The Nusselt number is presented as a function of the Peclet number, which shows a significant increase due to both high stagnant thermal conductivity and thermal dispersion resulting from the presence of the metal-foam. |
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