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

## Abstract

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.

## Authors

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

## Keywords

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

soon

Springer

0022-0833

1573-2703