Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder


The mixed convection flow near an axisymmetric stagnation point on a vertical cylinder is considered. The equations for the fluid flow and temperature fields reduce to similarity form that involves a Reynolds number R and a mixed convection parameter λ, as well as the Prandtl number σ. Numerical solutions are obtained for representative values of these parameters, which show the existence of a critical value λ c  = λ c (Rσ) for the existence of solutions in the opposing (λ < 0) case. The variation of λ c with R is considered. In the aiding (λ > 0) case solutions are possible for all λ and the asymptotic limit λ → ∞ is obtained. The limits of large and small R are also treated and the nature of the solution in the asymptotic limit of large Prandtl number is briefly discussed.


C. Revnic
Tiberiu Popoviciu  Institute of Numerical Analysis Cluj, Romanian Academy

T. Grosan
Applied Mathematics, Babes-Bolyai University Cluj, Romania

J. Merkin
Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK

I. Pop
Applied Mathematics, Babes-Bolyai University, Cluj, Romania


Asymptotic solutions; Axisymmetric stagnation flow; Boundary layers; Dual solutions; Mixed convection


Paper coordinates

C. Revnic, T. Grosan, J. Merkin, I. Pop, Mixed convection flow near an axisymmetric stagnation point on a vertical cylinder, Journal of Engineering Mathematics, 64 (2009), pp. 1–13,
doi: 10.1007/s10665-008-9248-9



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