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Abstrakty
The present study will focus on the combined effect of oscillating surface temperature and fluctuating surface velocity, under the action of uniform transverse magnetic field applied normally to the plane and internal heat absorption effect. The wall temperature is oscillating periodically in time about a non-zero constant mean temperature. The plate is permeable enabling possible fluid withdrawal. The nonlinear coupled partial differential equations governing the flow, representing the constitutive laws, are transformed into a system of ordinary differential equations by the perturbation technique. A parametric study of all the parameters involved is conducted and a representative set of numerical results concerning the velocity and temperature profiles, as well as the amplitude and phase of skin friction and Nusselt number, is illustrated graphically to show typical trends of the solutions.
Czasopismo
Rocznik
Tom
Strony
239--254
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
- Departrment of Mathematics, University of Rajasthan, Jaipur-302004 India, rochaudhary@rediffmail.com
Bibliografia
- 1. D.A. NIELD, A. BEJAN, Convection in porous media, Springer, New York 1999.
- 2. VAFAI, K., Handbook of porous media, Marcel Dekkar, New York 2000.
- 3. I. POP, D.B. INGHAM, Convective heat transfer: mathematical and computational modelling of viscous fluids and porous media, Pergamon, Oxford 2001.
- 4. D.B. INGHAM, I. POP, Transport phenomena in porous media, Pergamon, Vol. II, Oxford 2002.
- 5. A. RAPTIS, G. PERDIKIS, G. TZIVANIDIS, Free convection flow through a porous medium bounded by a vertical surface, J. Phys. D: Appl. Phys., 14, 99-102, 1981.
- 6. A. RAPTIS, G. TZIVANIDIS, N. KAFOUSIOS, Free convection and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction, Letter Heat Mass Transfer, 8, 417-424, 1981.
- 7. A. RAPTIS, Unsteady free connective, flow through a porous medium, Int. J. Engng. Sci., 21, 345-348,1983.
- 8. IBID, Oscillatory flow through a porous medium by the presence of free convective flow, Int. J. Engng. Sci., 23, 51-55, 1985.
- 9. R.S.R. GORLA, M.A. MANSOUR, M.G. SAHAR, Natural convection from a vertical plate in a porous medium using Brinkman's model, Transport in Porous Media, 36, 357-371, 1999.
- 10. E. MAGYARI, I. POP, B. KELLER, Analytical solutions for unsteady free convection in porous media, Journal of Engineering Mathematics, 48, 93-104, 2004.
- 11. K.A. HELMY, MHD unsteady free convection flow past a vertical porous plate, ZAMM, 78, 4, 225-270, 1999.
- 12. U.N. DAS, A. Aziz, M. RAHMAN, Unsteady MHD free convection flow through a porous medium, Far East J. Appl. Math., 3, 3, 293-302, 1999.
- 13. S.A. VASSEUR, E. BILGEN, Effect of a magnetic field on the onset of a convection in a porous medium. Heat and Mass Transfer, 30, 4, 259-267, 1995.
- 14. U.N. DAS, R.K. DEKHA, V.M. SOUNDALGEKAR, Transient free convection flow past an infinite vertical plate with periodic temperature variation, ASME J. Heat Transfer, 121, 1091-1094, 1999.
- 15. V.M. SOUNDALGEKAR, Unsteady forced and free convective flow past an infinite vertical porous plate with oscillating wall temperature and constant suction, Astrophys. Space Sci., 66, 223-233, 1979.
- 16. B.S. JAISWAL, V.M. SOUNDALGEKAR, Oscillating plate temperature effects on a flow past an infinite vertical porous plate with constant suction and embedded in porous medium, Heat and Mass Transfer, 37, 125-131, 2001.
- 17. IBID, Unsteady free and forced convection MHD flow past an infinite vertical porous plate with variable suction and oscillating plate temperature, Bulletin of the Allahabad Mathematical Society, 16, 81-95, 2001.
- 18. M.A. HOSSAIN, S.K. DAS, I. POP, Heat transfer response of MHD free convection flow along a vertical plate to surface temperature oscillations, J. Non-Linear Mech., 33, 3, 541-553, 1998.
- 19. M.A. HOSSAIN, S. HUSSAIN, D.A.S. REES, Influence of fluctuating surface temperature and concentration on natural convection flow from a vertical flat plate, ZAMM, 81, 699—709, 2001.
- 20. N.V. VIGHNESAM, V.M. SOUNDALGEKAR, Combined free and forced convection flow of water at 4° C from a vertical plate with variable temperature, Ind. J. of Engineering and Materials Science, 5, 124-126, 1998.
- 21. B. TASHTOUSH, H.M. DUWAIRI, Transient mixed convection with internal heat generation and oscillating plate temperature, Acta Mechanica, 174, 185-199, 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0061