VISCOSITY AND DISPERSION EFFECTS ON NATURAL CONVECTION FROM A VERTICAL CONE IN A NONNEWTONIAN FLUID SATURATED POROUS MEDIUM
Abstract
This paper investigates the influence of double dispersion and viscosity on natural convection heat and mass transfer from vertical cone in a non-Darcy porous medium saturated with non-Newtonian fluid. The surface of the cone and the ambient medium are maintained at constant but different levels of temperature and concentration. The Ostwald-de Waele power law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed governing equations is obtained. The numerical computation is carried out for various values of the non-dimensional physical parameters. The effect of non-Darcy parameter, viscosity parameter, thermal and solutal dispersion, buoyancy ratio, Lewis number and power-law index parameter on the temperature and concentration field as well as on the heat and mass transfer coefficients is analyzed.
Dates
- Submission Date2011-06-14
- Revision Date2011-09-23
- Acceptance Date2011-10-08
References
- Shenoy, A.V., Non-Newtonian fluid heat transfer in porous media, Advances in Heat Transfer (1994)
- Chen, H. T. and Chen, C. K., Natural convection of a non-Newtonian fluid about a horizontal cylinder and sphere in a porous medium, International Communications in Heat and Mass Transfer 15 (1988), 605- 614.
- Chen, H. T. and Chen, C. K., Natural convection of non-Newtonian fluids along a vertical plate embedded in a porous medium, ASME Journal of Heat Transfer 110(1988), 257 -260.
- Nakayama, A .and Koyama, H., 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 (1991), 55-70.
- Shenoy, A. V., Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid -saturated porous media, Transport in Porous Media, 11(1993), 219-241.
- Yih, K. A., Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF, Acta Mechanica 137 (1999),83-97.
- Cheng, C. Y., Natural convection heat and mass transfer from a vertical truncated cone in a porous medium saturated with a non-Newtonian fluid with variable wall temperature and concentration, International Communications in Heat and Mass Transfer 36 (2009), 585-589.
- Nield, D. A. and Bejan, A., Convection in Porous Media, 3rd ed., Springer-Verlag, New York (2006)
- Murthy, P. V. S. N. and Singh, P., Thermal dispersion effect on non-Darcy natural convection with lateral mass flux. Heat and Mass Transfer 33, 1-5 (1997)
- Murthy, P. V. S. N., Effect of double dispersion on mixed convection heat and mass transfer in non- Darcy porous medium. Trans ASME, Journal of Heat Transfer 122, 476-484 (2000)
- El-Amin, M. F., Double dispersion effects on natural convection heat and mass transfer in non-Darcy porous medium. Applied Mathematics and Computation 156, 1-17 (2004)
- Kairi, R. R., Narayana, P. A. L. and Murthy, P.V.S.N., The effect of double dispersion on natural convection heat and mass transfer in a non-Newtonian fluid saturated non-Darcy porous medium, Transport in Porous Media, 76, 377-390(2009).
- Kairi, R. R. and Murthy, P.V.S.N., The effect of double dispersion on mixed convection heat and mass transfer in a non-Newtonian fluid saturated non-Darcy porous medium, Journal of Porous Media, 13(8), 749-757(2010).
- Lai, F. C. and Kulacki, F. A., The effect of variable viscosity on convection heat transfer along a vertical surface in a saturated porous medium, International Journal of Heat and Mass Transfer 33(1990), 1028-1031.
- Jayanthi, S. and Kumari, M., Effect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in a non-Newtonian fluid saturated porous medium, Applied Mathematics and Computation 186(2007), 1643-1659.
- Massoudi, M and Phuoc, T. X., Flow of a generalized second grade non-Newtonian fluid with variable viscosity, Continuum Mechanics Thermodynamics 16(2004), 529-538
- Szeri, A. Z. and Rajagopal, K. R., Flow of a non-Newtonian fluid between heated parallel plates, International Journal of Non-Mechanics, 20(2), 91-101, 1985
- Christopher, R. H. and Middleman, S., Power law fluid flow through a packed tube, Ind. Eng. Chem. Fundamentals, 4(1965), 422-426.
- Dharmadhikari, R. V. and Kale, D. D., The flow of non-Newtonian fluids through porous media, Chemical Engineering Science, 40(1985), 527-529.
Volume
15,
Issue
12,
Pages307 -316