Post-stagnation-point boundary layer flow and mixed convection heat transfer over a vertical, linearly stretching sheet

• Autorzy: Ishak A. , Nazar R. , Pop I.
• Języki publikacji: EN

Abstrakty

EN

A theoretical analysis is made for the steady two-dimensional post-stagnationpoint flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity, the free stream velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation point. The governing partial differential equations are transformed into a coupled system of ordinary differential equations, which is then solved numerically by a finite-difference method. Results are presented in terms of the skin friction coefficient and local Nusselt number, along with a selection of velocity and temperature profiles. It was shown that for both cases of a fixed surface (? = 0) and a stretching surface (? = 0), dual solutions exist for the assisting flow (positive values of the buoyancy parameter ?), besides that usually reported in the literature for the opposing flow (? < 0). It was also found that for the assisting flow, a solution exists for all values of ? (> 0), while for the opposing flow, a solution exists only if the magnitude of the buoyancy parameter is small.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2008
• Tom: Vol. 60, nr 4
• Strony: 303--322
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Ishak A.

autor

Nazar R.

autor

Pop I.

• School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor, Malaysia,

Bibliografia

• 1. K. HIEMENZ, Dei Grenzschicht an einem in den gleichformigen Flussigkeitsstrom einge-tauchten geraden KreiszyUnder, Dingl. Polytech. Journal, 32, 321-410, 1911.
• 2. N. RAMACHANDRAN, T.S. CHEN and B.F. ARMALY, Mixed convection in stagnation flows adjacent to vertical surfaces, ASME J. Heat Transfer, 110, 373-377, 1988.
• 3. C.D.S. DEVI, H.S. TAKHAR and G. NATH, Unsteady mixed convection flow in stagnation region adjacent to a vertical surface, Heat Mass Transfer, 26, 71-79, 1991.
• 4. Y.Y. LOK, N. AMIN, D. CAMPEAN and I. POP, Steady mixed convection flow of a mi-cropolar fluid near the stagnation point on a vertical surface, Int. J. Numerical Methods Heat Fluid Flow, 15, 654-670, 2005.
• 5. H.S. TAKHAR, A.J. CHAMKHA and G. NATH, Unsteady mixed convection on the stagnation-point flow adjacent to a vertical plate with a magnetic field, Heat Mass Transfer, 41, 387-398, 2005.
• 6. T.C. CHIAM, Stagnation-point flow towards a stretching plate, J. Phys. Soc. Jpn., 63, 2443-2444, 1994.
• 7. T.C. CHIAM, Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet, Int. Comm. Heat Mass Transfer, 23, 239-248, 1996.
• 8. T.R. MAHAPATRA and A.S. GUPTA, Magnetohydrodynamic stagnation-point flow towards a stretching sheet, Acta Mech., 152, 191-196, 2001.
• 9. T.R. MAHAPATRA and A.S. GUPTA, Heat transfer in stagnation-point flow towards a stretching sheet, Heat Mass Transfer, 38, 517-521, 2002.
• 10. R. NAZAR, N. AMIN, D. FILIP and I. POP, Stagnation point flow of a micropolar fluid towards a stretching sheet, Int. J. Non-Linear Mech., 39, 1227-1235, 2004.
• 11. R. NAZAR, N. AMIN, D. FILIP and I. POP, Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet, Int. J. Engng. Sci., 42, 1241-1253, 2004.
• 12. C.H. CHEN, Laminar mixed convection adjacent to vertical, continuously stretching sheets, Heat Mass Transfer, 33, 471-476, 1998.
• 13. T.Y. NA, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York, 1979.
• 14. T. CEBECI and P. BRADSHAW, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, 1988.
• 15. T. CEBECI and P. BRADSHAW, Momentum Transfer in Boundary Layers. Hemisphere, Washington, 1977.
• 16. T. CEBECI, K.C. CHANG and P. BRADSHAW, Solution of a hyperbolic system of turbulence-model equations by the "BOX" scheme, Comp. Method Appl. Mech. Engng., 22, 213-227, 1980.
• 17. A. ISHAK, R. NAZAR and I. POP, Flow of a micropolar fluid on a continuous moving surface, Arch. Mech., 58, 529-541, 2006.
• 18. A. ISHAK, R. NAZAR and I. POP, Dual solutions in mixed convection flow near a stagnation point on a vertical porous plate, Int. J. Thermal Sciences, 47, 417-422, 2008.
• 19. A. ISHAK, R. NAZAR and I. POP, Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium, Int. J. Heat Mass Transfer, 51, 1150-1155, 2008.
• 20. W. SCHNEIDER and M.G. WASEL, Breakdown of the boundary-layer approximation for mixed convection above a horizontal plate, Int. J. Heat Mass Transfer, 28, 2307-2313, 1985.
• 21. W.R. SEARS and D.P. TELIONIS, Boundary-layer separation in unsteady flow, SI AM J. Appl. Math, 28, 215-235, 1975.
• 22. N. AFZAL and T. HUSSAIN, Mixed convection over a horizontal plate, ASME J. Heat Transfer, 106, 240-241, 1984.
• 23. F,R. HOOG, B. LAMINGER and R. WEISS, A numerical study of similarity solutions for combined forced and free convection, Acta Mechanica, 51, 139-149, 1984.
• 24. A. RIDHA, Aiding flows non-unique similarity solutions of mixed-convection boundary-layer equations, J. Appl. Math. Phys. (ZAMP), 47, 341-352, 1996.