Abstract
A boundary layer analysis has been presented for the interaction of mixed convection with thermal radiation in laminar boundary flow from a vertical wedge in a porous medium saturated with a power-law type non-Newtonian incorporating the variation of permeability and thermal conductivity. The transformed conservation laws are solved numerically for the case of variable surface temperature conditions. The combined convection non-similar parameter we note that χ=0 and 1 correspond to pure free and forced convection cases. The Rosseland approximation is used to describe the radiative heat flux in energy equation. Velocity and temperature profiles as well as the local Nusselt number are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Benenati, R. F. and Brosilow, C. B.: 1962, Void fraction distribution in beds of spheres, A.I.Ch.E.J. 8, 359–361.
Chandrasekhara, B. C., Hanumanthappa, A. R. and Chandranna, S.: 1983, Mixed convection in the presence of horizontal impermeable surfaces in saturated porous media with variable permeability, in: Proceedings of the 12th Nat. Conf. Fluid Dynamics Fluid Power, I. I. T. Delhi, 8–10 December.
Chandrasekhara, B. C., Hanumanthappa, A. R. and Chandranna, S.: in press, Flows in porous media, I Indian J. Technol.
Chandrasekhara, B. C., Namboodiri P. M. S. and Hanumanthappa, A. R.: 1984, Similarity solutions for buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces, Warme-Und Stoffubertragung 18, 17–23.
Chandrasekhara, B. C., Namboodiri, P. M. S.: 1985, influence of variable permeability on combined vertical surfaces in porous medium, Int. J. Heat Mass Transfer 28, 199–206.
Chen, C. H., Chen, T. S., and Chen, C. K.: 1996, Non-Darcy mixed convection along nonisothermal vertical surfaces in porous media, Int. J. Heat Mass Transfer 39, 1157–1164.
Christopher, R. H. and Middleman, S.: 1965, Power-law flow through a paced tube, I & EC Fandamentals 4, 422–426.
El-Hakiem, M. A. and El-Amin, M. F.: 2001, Thermal radiation effects on non-Darcy natural convection with lateral mass flux, Heat and Mass Transfer 37, 161–165.
Gorla, R. S. R.: 1988, Radiative effect on conjugate forced convection and conductive heat transfer in a circular pin, Int. J. Heat Fluid Flow 9, 49–51.
Gorla, R. S. R. and Pop, I.: 1993, Conjugate heat transfer with radiation from a vertical circular pin in non-Newtonian ambient medium, Warme und Stoffubertragung 28, 11–15.
Hsieh, J. C., Chen, T. S. and Armaly, B. F.: 1993, Nonsimilarity solutions for mixed convection from vertical surfaces in porous media, Int. J. Heat Mass Transfer 36, 1485–1493
Mohammadein, A. A. and El-Amin, M. F.: 2000, Thermal dispersion–radiation effects on non-Darcy natural convection in a fluid saturated porous medium, Transport Porous Med. 40(2), 153–163.
Ranganathann, P. and Viskanta, R.: 1984, Mixed convection boundary layer flow along a vertical surface in a porous medium, Numer. Heat Transfer 7, 305–317.
Raptis, A.: 1998, Radiation and free convection flow through a porous medium, Int. Commun. Heat Mass Transfer 25, 289–295.
Schwartz, C. E. and Smith, J. M.: 1953, Flow distribution in packed beds, Indust. Eng. Chem. 45, 1209–1218.
Tierney, J. W., Roblee, L. H. S. and Barid, R. M.: 1958, Redial porosity variation in packed beds, A.I.Ch.E.J. 4, 460–464.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mansour, M., El-Shaer, N. Mixed Convection-Radiation in Power-Law Fluids Along a NOn-Isothermal Wedge in a Porous Medium with Variable Permeability. Transport in Porous Media 57, 333–346 (2004). https://doi.org/10.1007/s11242-004-4059-6
Issue Date:
DOI: https://doi.org/10.1007/s11242-004-4059-6