Dual solutions in mixed convection boundary-layer flow with suction or injection

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 72, Issue 4, 2007, Pages 451-463

  Ishak, A ^a   Nazar, R ^a   Pop, Ioan ^b  

^a UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Boundary layer; Dual solutions; Mixed convection; Suction injection

Indexed keywords

FINITE DIFFERENCE METHOD; HEAT FLUX; INCOMPRESSIBLE FLOW; LAMINAR FLOW; MIXED CONVECTION; NUSSELT NUMBER; ORDINARY DIFFERENTIAL EQUATIONS; SKIN FRICTION; TEMPERATURE; VISCOUS FLOW;

INCOMPRESSIBLE VISCOUS FLUID; KELLER BOX METHOD;

BOUNDARY LAYER FLOW;

EID: 34547883149     PISSN: 02724960     EISSN: 14643634     Source Type: Journal    
DOI: 10.1093/imamat/hxm020     Document Type: Article

References (16)

1. AFZAL, N. & BANTHIYA, N. K. (1977) Mixed convection over a semi-infinite vertical flat plate. J. Appl. Math. Phys., 28, 993-1004.
2. CEBECI, T. & BRADSHAW, P. (1988) Physical and Computational Aspects of Convective Heat Transfer. New York: Springer.
3. HUNT, R. & WILKS, G. (1980) On the behaviour of laminar boundary-layer equations of mixed convection near a point of zero skin friction. J. Fluid Mech., 101, 377-391.
4. HUSSAIN, T. & AFZAL, N. (1988) Computer extension of perturbation series for mixed convection on a vertical plate: Favourable and adverse flows. Fluid Dyn. Res., 4, 107-121.
5. LIN, H.-T. & CHEN, C.-C. (1987) Mixed convection from a vertical plate with uniform heat flux to fluids of any Prandtl number. J. Chin. Inst. Chem. Eng., 18, 209-220.
6. LIN, H.-T. & CHEN, C.-C. (1988) Mixed convection on vertical plate for fluids of any Prandtl number. Wärme Stoffübertr., 22 159-168.
7. MERKIN, J. H. (1969) The effect of buoyancy forces on the boundary layer flow over a semi-infinite vertical plate in a uniform stream. J. Fluid Mech., 35, 439-450.
8. MERKIN, J. H. & MAHMOOD, T. (1989) Mixed convection boundary-layer similarity solutions: Prescribed wall heat flux. J. Appl. Math. Phys. 40, 51-68.
9. MERKIN, J. H., POP, I. & MAHMOOD, T. (1991) Mixed convection on a vertical surface with a prescribed heat flux: The solution for small and large Prandtl numbers. J. Eng. Math., 25, 165-190.
10. RIDHA, A. (1996a) Aiding flows non-unique similarity solutions of mixed-convection boundary-layer equations. J. Appl. Math. Phys., 47, 341-352.
11. RIDHA, A. (1996b) Three-dimensional mixed convection laminar boundary-layer near a plane of symmetry. Int. J. Eng. Sci., 34 659-675.
12. SPARROW, E. M., EICHORN, E. & GREGG, J. L. (1959) Combined forced and free convection in boundary layer flow. Phys. Fluids, 2, 319-328.
13. WATANABE, T. (1991) Forced and free mixed convection boundary layer flow with uniform suction or injection on a vertical flat plate. Acta Mech., 89, 123-132.
14. WILKS, G. (1973) Combined forced and free convection flow on vertical surfaces. Int. J. Heat Mass Transf., 16, 1958-1963.
15. WILKS, G. (1974) The flow of a uniform stream over a semi-infinite vertical flat plate with uniform surface heat flux. Int. J. Heat Mass Transf., 17, 743-753.
16. WILKS, G. & BRAMLEY, J. S. (1981) Dual solutions in mixed convection. Proc. R. Soc. Edinb., 87A, 349-358.