Summary
The interaction of a buoyancy induced mixed convection flow and a free stream impinging at some angle of incidence on a vertical flat plate with a prescribed surface heat flux is studied in this paper. The similarity equations are numerically solved for some values of the governing parameters. It is found that the buoyancy force and non-orthogonal mechanisms act to either reinforce or oppose one another. The stagnation point (separation point) is shifted at the left or at the right of the origin and it depends upon the balance between obliqueness and thermal effects.
Similar content being viewed by others
References
R. Ramachandran T. S. Chen B. F. Armaly (1988) ArticleTitleMixed convection in stagnation flows adjacent to vertical surfaces ASME J. Heat Transf. 110 373–377 Occurrence Handle10.1115/1.3250494
B. Gebhart Y. Jaluria R. Mahajan B. Sammakia (1988) Buoyancy-induced flows transport Hemisphere New York Occurrence Handle0699.76001
I. Pop D. B. Ingham (2001) Convective heat transfer: mathematical and computational modelling of viscous fluids and porous media Pergamon Oxford
K. Hiemenz (1911) ArticleTitleDie Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder Dingl. Polytech. J. 32 321–410
Eckert, E. R. G.: Die Berechnung des Wärmeüberganges in der laminaren Grenzschicht umströmter Körper. VDI Forschungsheft, p. 416 (1942).
Y. Y. Lok N. Amin D. Campean I. Pop (2005) ArticleTitleSteady mixed convection flow of a micropolar fluid near the stagnation point of a vertical surface Int. J. Numer. Meth. Heat Fluid Flow 15 654–670
J. T. Stuart (1959) ArticleTitleThe viscous flow near a stagnation point when the external flow has uniform vorticity J. Aerospace Sci. 26 124–125
K. J. Tamada (1979) ArticleTitleTwo-dimensional stagnation point flow impinging obliquely on a plane wall J. Phys. Soc. Japan 46 310–311 Occurrence Handle10.1143/JPSJ.46.310
J. M. Dorrepaal (1986) ArticleTitleAn exact solution of the Navier–Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions J. Fluid Mech. 163 141–147 Occurrence Handle0605.76033 Occurrence Handle834711 Occurrence Handle10.1017/S0022112086002240
F. Labropulu J. M. Dorrepaal O. P. Chandna (1996) ArticleTitleOblique flow impinging on a wall with suction or blowing Acta Mech. 115 15–25 Occurrence Handle0859.76016 Occurrence Handle10.1007/BF01187425
M. Amaouche D. Boukari (2003) ArticleTitleInfluence of thermal convection on non-orthogonal stagnation point flow Int. J. Thermal Sci. 42 303–310 Occurrence Handle10.1016/S1290-0729(02)00031-5
M. Amaouche F. N. Bouda H. Sadat (2005) ArticleTitleThe onset of thermal instability of a two-dimensional hydromagnetic stagnation point flow Int. J. Heat Mass Transf. 48 4435–4445 Occurrence Handle10.1016/j.ijheatmasstransfer.2005.05.003
E. M. Sparrow J. L. Gregg (1956) ArticleTitleLaminar free convection from a vertical plate with uniform surface heat flux Trans. ASME, J. Heat Transf. 78 435–440
G. Wilks (1974) ArticleTitleThe 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 Occurrence Handle0282.76028 Occurrence Handle10.1016/0017-9310(74)90169-0
N. Afzal (1985) ArticleTitleHigher-order effects in natural convection flow over a uniform flux horizontal surface Wärme- und Stoffübertr. 19 177–180 Occurrence Handle10.1007/BF01403753
T. S. Chen H. C. Tien B. F. Armaly (1986) ArticleTitleNatural convection on horizontal, inclined, and vertical plates with variable surface temperature or heat flux Int. J. Heat Mass Transf. 29 1465–1478 Occurrence Handle0603.76086 Occurrence Handle10.1016/0017-9310(86)90061-X
J. H. Merkin T. Mahmood (1990) ArticleTitleOn the free convection boundary layer on a vertical plate with prescribed surface heat flux J. Engng. Math. 24 95–107 Occurrence Handle0708.76119 Occurrence Handle1052806 Occurrence Handle10.1007/BF00129868
J. H. Merkin T. Mahmood (1989) ArticleTitleMixed convection boundary layer similarity solutions: prescribed wall heat flux J. Appl. Math. Phys. 40 51–68 Occurrence Handle0667.76126 Occurrence Handle980464 Occurrence Handle10.1007/BF00945309
H.-T. Lin W.-S. Yu S.-L. Yang (1989) ArticleTitleFree convection on an arbitrarily inclined plate with uniform surface heat flux Wärme- und Stoffübertr. 24 183–190 Occurrence Handle10.1007/BF01590018
J. H. Merkin I. Pop T. Mahmood (1991) ArticleTitleMixed convection on a vertical surface with a prescribed heat flux: the solution for small and large Prandtl numbers J. Engng. Math. 25 165–190 Occurrence Handle0749.76064 Occurrence Handle1096657 Occurrence Handle10.1007/BF00042852
M. A. Chaudhary J. H. Merkin (1993) ArticleTitleThe effects of blowing and suction on free convection boundary layers on vertical surfaces with prescribed heat flux J. Engng. Math. 27 265–292 Occurrence Handle0781.76077 Occurrence Handle1225713 Occurrence Handle10.1007/BF00128967
J. H. Merkin (1994) ArticleTitleNatural-convection boundary-layer flow on a vertical surface with Newtonian heating Int. J. Heat Fluid Flow 15 392–398 Occurrence Handle10.1016/0142-727X(94)90053-1
T. Cebeci P. Bradshaw (1984) Physical and computational aspects of convective heat transf Springer New York
Nazar, R., Ahmad, S., Pop, I.: Forced convection boundary layers at a forward stagnation point under mixed thermal boundary conditions (private communication).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lok, Y.Y., Amin, N. & Pop, I. Mixed convection near a non-orthogonal stagnation point flow on a vertical plate with uniform surface heat flux. Acta Mechanica 186, 99–112 (2006). https://doi.org/10.1007/s00707-006-0322-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-006-0322-y