Variable viscosity and thermal conductivity effects on heat transfer by natural convection from a cone and a wedge in porous media

• Autorzy: Hassanien I. A. , Essawy A. H. , Moursy N. M.
• Języki publikacji: EN

Abstrakty

EN

The problem of steady, laminar heat transfer by natural convection flow over a vertical cone a wedge embedded in a uniform porous medium with variable viscosity and thermal conductivity is investigated. The transformed governing equations are solved numerically by using a finite difference scheme. The obtained results are compared with earlier papers on special cases of the problem and are found to be in excellent agreement. The influence of porous medium inertia effect, viscosity wariation parameter ... and thermal conductivity variation parameter ... on the fluid velocity and temperature is discussed. Including the porous medium inertia effect or viscosity variation parameter in the mathematical model is predicted to reduce the local Nusselt number. Furthermore, the local Nusselt number increases in the presence of thermal conductivity variation parameter.

Słowa kluczowe

EN

viscosity; thermal conductivity effect; heat transfer; porous medium inertia effect; local Nusselt number; finite difference analysis

PL

lepkość; przewodność cieplna; efekt bezwładności ośrodka porowatego; analiza metodą różnic skończonych; liczba Nusselta

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 4
• Strony: 345--356
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Hassanien I. A.

• Assuit University, Faculty of Science, Department of Mathematics, Assuit, Egypt

autor

Essawy A. H.

• Minia University, Faculty of Science, Department of Mathematics, Minia, Egypt

autor

Moursy N. M.

• Minia University, Faculty of Science, Department of Mathematics, Minia, Egypt

Bibliografia

• 1. K . VAFAI, C . L. TIEN, Boundary and inertia effects on flow and heat transfer in Poros media, Int. J . Heat Mass Transfer, 24, 195- 203, 1981.
• 2. P. CHENG, W. J. MINKOWYCZ, Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. 82, 2040-2044, 1971.
• 3. P . CHENG, T . LE, I. POP, Natural convection of a Darcian fluid about a cone, Int. Commun. Heat Mass Transfer, 12, 705- 717, 1985.
• 4. A. J. CHAMKHA, Non-Darcy hydromagnetic free convection from a cone and a wedge In porous media, Int. Comm. Heat Mass Transfer, 23, 875-887, 1996.
• 5. K. A. YlH, The effect of uniform lateral mass flux on free convection about a vertical cone embedded in a porous media, Int. Commun. Heat Mass Transfer, 24, 1195- 1205, 1997.
• 6. M. A. HOSSAIN, K . VAFAI, K. KHANAFER, Non-Darcy natural convection heat and mass transfer along a vertical permeable cylinder embedded in a porous medium, Int. J. Thermal Sci., 38, 854- 862, 1999.
• 7. K . A. YlH, Coupled heat and mass transfer in mixed convection over a VHFjVMF wedle in porous media: the entire regime, Acta Mechanica, 137, 1- 12, 1999.
• 8. A. J. CHAMKHA, A. R . A . KHALED, O. AL-HAWAJ, Simultaneous heat and mass transfer by natural convection from a cone and a wedge in porous media, J. Porous Media, 3, 155-164, 2000.
• 9. M. A. HOSSAIN, M. S. MUNIR, D. A. S. REES, Flow of viscous incompressible fluid with temperature-dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux, Int. J. Thermal Sci., 39, 635-644, 2000.
• 10. I. A. HASSANlEN, Variable permeability effects on mixed convection along a vertical wedle embedded in a porous medium with variable surface heat flux, Applied Mathematics and Computation, 138, 41-59, 2003.
• 11. M. A. HOSSAIN, M. S. MUNlR, Natural convection flow of a viscous fluid about a truncated cone with temperature-dependent viscosity and thermal conductivity, Int. J. Num. Methods. Heat Fluid Flow, 11, 494-510, 2001.
• 12. M. A. HOSSAIN, K. KHANAFER, K . VAFAI, The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate, Int. J. Thermal Sci. 40, 115-124, 2001.
• 13. E. M. SPARROW, H. QUACK, J. BOERNER, Local non-similarity boundary solut:ons, AIAA, 8, 1936- 1942, 1970.
• 14. P. L. GELRINGER, Hand book of heat transfer medium, New York 1962.