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Thermal Equilibrium in Transient Forced Convection Porous Channel Flow

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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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References

  • Alkam, M. K. and Al-Nimr, M. A.: 1998, Int. J. Heat Mass Transfer 41(2), 347.

    Google Scholar 

  • Alkam, M. K. and Al-Nimr, M. A.: 1999a, Int. J. Heat Mass Transfer 42, 3609.

    Google Scholar 

  • Alkam, M. K. and Al-Nimr, M. A.: 1999b, JSME Int. J. Ser. B 42(2), 206.

    Google Scholar 

  • Al-Nimr, M. A.: 1993, Energy Convers. Manage. 34(8), 649.

    Google Scholar 

  • Al-Nimr, M. A. and Alkam, M. K.: 1997, ASME J. Heat Transfer 119, 799.

    Google Scholar 

  • Al-Nimr, M. A. and Alkam, M. K.: 1998a, Renew. Energy 13(2), 165.

    Google Scholar 

  • Al-Nimr, M. A. and Alkam, M. K.: 1998b, Heat Mass Transfer 33, 315.

    Google Scholar 

  • Al-Nimr, M. A., Abu-Qudais, M. and Mashaqi, M.: 1996, Energy Convers. Manage. 37(1), 23.

    Google Scholar 

  • Amiri, K., Vafai and Kuzay, T.: 1995, Num. Heat Transfer Part A 27, 651.

    Google Scholar 

  • Buyevich, Yu. A.: 1995, J. Transport Porous Media 21(2), 145.

    Google Scholar 

  • Kakac, S., Kilkis, B., Kulacki, F. and Arinc, F.: 1991, Convective Heat and Mass Transfer in Porous Media, Kluwer, Netherlands.

    Google Scholar 

  • Kuznetsov, V.: 1996, Techn. Phys. 41(8), 760.

    Google Scholar 

  • Nield, D. A. and Kuznetsov, A. V.: 1999, Int. J. Heat Mass Transfer 24(17), 3245.

    Google Scholar 

  • Riaz, M.: 1977, ASME J. Heat Transfer 99, 489.

    Google Scholar 

  • Tao, Y. X. and Gray, D. M.: 1993, Int. Comm. Heat Mass Transfer 20, 323.

    Google Scholar 

  • Vafai, K. and Sozen, M.: 1990, ASME J. Heat Transfer 112, 690.

    Google Scholar 

  • Versteeg, H. K. and Malalasekera, W.: 1995, An Introduction to Computational Fluid Dynamics, The Finite Volume Method, Longman Scientific and Technical, Essex.

    Google Scholar 

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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

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