Abstract
The validity of the local thermal equilibrium assumption in the transient forced convection channel flow is investigated numerically. Axial conduction in both fluid and solid domains is included. It is found that five dimensionless parameters control the local thermal equilibrium assumption. These parameters are the thermal diffusivity ratio αR, the volumetric Nusselt number Nu, the dimensionless channel length ξmax, Peclet number Pe, and the solid to fluid total thermal capacity ratio C R. The qualitative and quantitative aspects of the effects of these five parameters on the channel thermalization time are investigated.
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Alkam, M. K. and Al-Nimr, M. A.: 1998, Int. J. Heat Mass Transfer 41(2), 347.
Alkam, M. K. and Al-Nimr, M. A.: 1999a, Int. J. Heat Mass Transfer 42, 3609.
Alkam, M. K. and Al-Nimr, M. A.: 1999b, JSME Int. J. Ser. B 42(2), 206.
Al-Nimr, M. A.: 1993, Energy Convers. Manage. 34(8), 649.
Al-Nimr, M. A. and Alkam, M. K.: 1997, ASME J. Heat Transfer 119, 799.
Al-Nimr, M. A. and Alkam, M. K.: 1998a, Renew. Energy 13(2), 165.
Al-Nimr, M. A. and Alkam, M. K.: 1998b, Heat Mass Transfer 33, 315.
Al-Nimr, M. A., Abu-Qudais, M. and Mashaqi, M.: 1996, Energy Convers. Manage. 37(1), 23.
Amiri, K., Vafai and Kuzay, T.: 1995, Num. Heat Transfer Part A 27, 651.
Buyevich, Yu. A.: 1995, J. Transport Porous Media 21(2), 145.
Kakac, S., Kilkis, B., Kulacki, F. and Arinc, F.: 1991, Convective Heat and Mass Transfer in Porous Media, Kluwer, Netherlands.
Kuznetsov, V.: 1996, Techn. Phys. 41(8), 760.
Nield, D. A. and Kuznetsov, A. V.: 1999, Int. J. Heat Mass Transfer 24(17), 3245.
Riaz, M.: 1977, ASME J. Heat Transfer 99, 489.
Tao, Y. X. and Gray, D. M.: 1993, Int. Comm. Heat Mass Transfer 20, 323.
Vafai, K. and Sozen, M.: 1990, ASME J. Heat Transfer 112, 690.
Versteeg, H. K. and Malalasekera, W.: 1995, An Introduction to Computational Fluid Dynamics, The Finite Volume Method, Longman Scientific and Technical, Essex.
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Abu-Hijleh, B.A., Al-Nimr, M.A. & Hader, M.A. Thermal Equilibrium in Transient Forced Convection Porous Channel Flow. Transport in Porous Media 57, 49–58 (2004). https://doi.org/10.1023/B:TIPM.0000032736.16056.10
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DOI: https://doi.org/10.1023/B:TIPM.0000032736.16056.10