Abstract
Stationary nonisothermal flow of viscous Newtonian liquid in a flat channel filled with porous material is studied. The Brinkman equation is used as a motion equation. It is assumed that viscosity depends on temperature. The energy equation is denoted using a single-temperature model. Dissipative heat emissions are accounted. The problem is solved for temperature first-order boundary conditions.
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Nield, D.A. and Bejan, A., Convection in Porous Media, New York: Springer, 2006.
Vafai, K., Porous Media: Applications in Biological Systems and Biotechnology, Tokyo: CRC, 2010.
Kuznetsov, A.V., J. Porous Media, 1999, vol. 3, no. 3, p. 309.
Xiong, M. and Kuznetsov, A.V., J. Porous Media, 2000, vol. 3, no. 3, p. 245.
Kuznetsov, A.V. and Nield, D.A., J. Heat Transfer, 2008, vol. 130, no. 9, 094504.
Min Jung Yim and Kim Sung Jin, J. Heat Transfer, 2005, vol. 127, no. 6, p. 648.
Teamah, M.A., El-Mghlany, W.M., and Dawood, M.M.Kh., Int. J. Therm. Sci., 2011, vol. 50, no. 8, p. 1512.
Yang Chen, Nakayama Akira, and Liu Wei, Int. J. Therm. Sci., 2012, vol. 54, p. 98.
Chen, G. and Hadim, H.A., J. Porous Media, 1999, vol. 2, p. 59.
Nield, D.A. and Kuznetsov, A.V., Int. J. Heat Mass Transfer, 2005, vol. 48, no. 6, p. 1214.
Nield, D.A., Kuznetsov, A.V., and Ming Xiong, J. Porous Media, 2004, vol. 7, no. 1, p. 19.
Khashan, S.A. and Al-Nimr, M.A., Transp. Porous Media, 2005, vol. 61, no. 3, p. 291.
Haji-Sheikh, A., J. Heat Transfer, 2006, vol. 128, no. 6, p. 550.
Cekmer, O., Mobedi, M., Ozerdem, B., and Pop, I., Transp. Porous Media, 2011, vol. 90, p. 791.
Nield, D.A., Kuznetsov, A.V., and Ming, Xiong, Int. J. Heat Mass Transfer, 2003, vol. 46, p. 643.
Nield, D.A., Kuznetsov, A.V., and Ming, Xiong, Transp. Porous Media, 2004, vol. 56, p. 351.
Nield, D.A., J. Heat Transfer, 2007, vol. 129, p. 1459.
Haji-Sheikh, A., Nield, D.A., and Hooman, K., Int. J. Heat Mass Transfer, 2006, vol. 49, p. 3004.
Tada, S. and Ichimiya, K., Int. J. Heat Mass Transfer, 2007, vol. 50, p. 2406.
Chen, G.M. and Tso, C.P., Int. Commun. Heat Mass Transfer, 2011, vol. 38, p. 57.
Barletta, A., Rossi di Schio, E., and Celli, M., Transp. Porous Media, 2011, vol. 87, no. 1, p. 105.
Coelho, P.M. and Pinho, F.T., Int. J. Heat Mass Transfer, 2006, vol. 49, p. 3349.
Chen, G.M. and Tso, C.P., Int. J. Heat Mass Transfer, 2011, vol. 54, p. 1791.
Chen, G.M. and Tso, C.P., Int. J. Heat Mass Transfer, 2011, vol. 54, p. 5406.
Barletta, A. and Celli, M., Int. J. Therm. Sci., 2011, vol. 50, no. 1, p. 53.
Hooman, K. and Gurgenci, H., Appl. Math. Mech. (Engl. Ed.), 2007, vol. 28, no. 1, p. 69.
Tyabin, N.V., Dakhin, O.Kh., and Baranov, A.V., High Temp., 1982, vol. 20, no. 1, p. 74.
Dakhin, O.Kh., Baranov, A.V., and Tyabin, N.V., High Temp., 1983, vol. 21, no. 4, p. 565.
Malkin, A.Ya., Baranov, A.V., and Tyabin, N.V., Teor. Osn. Khim. Tekhnol., 1991, vol. 25, no. 1, p. 72.
Epov, M.I., Terekhov, V.I., Nizovtsev, M.I., and Shurina, E.P., High Temp., 2015, vol. 53, no. 1, p. 45.
Malkin, A.Ya., Baranov, A.V., and Timofeev, S.V., J. Non-Newtonian Fluid Mech., 1994, vol. 54, p. 489.
Malkin, A.Ya., Baranov, A.V., and Dakhin, O.Kh., Int. Polym. Process., 1995, vol. 10, no. 2, p. 99.
Malkin, A.Ya., Baranov, A.V., and Dakhin, O.Kh., Int. Polym. Process., 1999, vol. 14, no. 2, p. 115.
Baranov, A.V. and Dakhin, O.Kh., Composites: Mech., Comput. Appl., Int. J., 2014, vol. 5, no. 2, p. 159.
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Original Russian Text © A.V. Baranov, 2017, published in Teplofizika Vysokikh Temperatur, 2017, Vol. 55, No. 3, pp. 433–439.
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Baranov, A.V. Nonisothermal dissipative flow of viscous liquid in a porous channel. High Temp 55, 414–419 (2017). https://doi.org/10.1134/S0018151X17030014
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DOI: https://doi.org/10.1134/S0018151X17030014