Abstract
Chapter 7 draws attention to forced convection heat transfer in internal flows through porous media. The flow is assumed to be confined within parallel walls subjected to uniform heat flux and immersed in a porous medium saturated with an elastic fluid of constant viscosity, thereby helping to isolate the effect of elasticity. The expression for the Nusselt number for the elastic fluid is found to be the same as that for Newtonian fluids in its general form. However, the expression for the controlling term inside the equation is different, thereby exemplifying the effect of elasticity.
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References
Boger, D. V. (1977/78). A highly elastic constant viscosity fluid. Journal of Non-Newtonian Fluid Mechanics, 3, 87–91.
Cao, Y., & Cui, X. (2015). Natural convection of power-law fluids in porous media with variable thermal and mass diffusivity. International Journal of Heat and Technology, 33(2), 85–90.
Chen, H.-T., & Chen, C.-K. (1988a). Free convection of non-newtonian fluids along a vertical surface embedded in a porous medium. Transactions ASME, Journal Heat Transfer, 110, 257–260.
Chen, H.-T., & Chen, C.-K. (1988b). Natural convection of a non-newtonian fluid about a horizontal cylinder and a sphere in a porous medium. International Communications in Heat and Mass Transfer, 15, 605–614.
Choplin, L., Carreau, P., & Aitkadi, A. (1983). Highly elastic constant viscosity fluids. Polymer Engineering & Science, 23(8), 459–464.
Nakayama, A., & Koyama, H. (1991). Buoyancy-induced flow of non-newtonian fluids over a non-isothermal body of arbitrary shape in a fluid-saturated porous medium. Applied Scientific Research, 48(1), 55–70.
Nakayama, A., & Shenoy, A. V. (1992). A unified similarity transformation for darcy and non-darcy forced, free and mixed convection heat transfer in non-newtonian inelastic fluid-saturated porous media. Chemical Engineering Journal, 50(1), 33–45.
Nakayama, A., & Shenoy, A. V. (1993a). Combined forced and free convection heat transfer in non-newtonian fluid saturated porous medium. Applied Scientific Research, 50(1), 83–95.
Nakayama, A., & Shenoy, A. V. (1993b). Non-darcy forced convection heat transfer in a channel embedded in a non-newtonian inelastic fluid saturated porous medium. Canadian Journal of Chemical Engineering, 71(1), 168–173.
Nakayama, A., Koyama, H., & Kuwahara, F. (1988). An analysis on forced convection in a channel filled with a Brinkman-darcy porous medium: Exact and approximate solutions. Warme- und Stoffubertragung, 23, 291–295.
Pascal, H. (1990a). Non-isothermal flow of non-newtonian fluids through a porous medium. International Journal of Heat and Mass Transfer, 33(9), 1937–1944.
Pascal, H. (1990b). Some self-similar two-phase flows of non-newtonian fluids through a porous medium. The journal Studies in Applied Mathematics, 82, 305–318.
Pascal, H., & Pascal, J. P. (1989). Non-linear effects of non-newtonian fluids on natural convection in a porous medium. Physica D, 40(3), 393–402.
Shenoy, A. V. (1993a). Darcy-forchheimer natural, forced and mixed convection heat transfer in non-newtianian power-law fluid-saturated porous media. Transport in Porous Media, 11(3), 219–241.
Shenoy, A. V. (1993b). Forced convection heat transfer to an elastic fluid of constant viscosity flowing through a channel filled with a Brinkman-Darcy porous medium. Warme- und Stoffubertragung, 28(5), 295–297.
Wang, C., & Tu, C. (1989). Boundary layer flow and heat transfer of non-newtonian fluids in porous media. International Journal of Heat and Fluid Flow, 10(2), 160–165.
Wang, C., Tu, C., & Zhang, X. (1990). Mixed convection of non-newtonian fluids from a vertical plate embedded in a porous medium. Acta Mechanica Sinica, 6(3), 214–220.
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Shenoy, A. (2020). Forced Convection Heat Transfer in Internal Flows Through Porous Media. In: Rheology of Drag Reducing Fluids. Springer, Cham. https://doi.org/10.1007/978-3-030-40045-3_7
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DOI: https://doi.org/10.1007/978-3-030-40045-3_7
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