Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux

Alin V. Roşca, and Natalia C. Roşca, and Ioan Pop, (2014) Note on dual solutions for the mixed convection boundary layer flow close to the lower stagnation point of a horizontal circular cylinder:case of constant surface heat flux. Sains Malaysiana, 43 (8). pp. 1239-1247. ISSN 0126-6039

[img]
Preview
PDF
2MB

Official URL: http://www.ukm.my/jsm

Abstract

The paper reconsiders the problem of the mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder with a second order slip velocity model and a constant surface heat flux studied recently by Roşca et al. (2013). The ordinary (similarity) differential equations are solved numerically using the function bvp4c from Matlab for different values of the governing parameters. It is found that the similarity equations have two branches, upper and lower branch solutions, in a certain range of the mixed convection parameters. A stability analysis has been performed to show that the upper branch solutions are stable and physically realizable, while the lower branch solutions are not stable and therefore, not physically possible. This stability analysis is different by that presented by Roşca et al. (2013), who have presented a time-dependent analysis to determine the stability of the solution branches.

Item Type:Article
Keywords:Dual solutions; mixed convection; numerical solution; second-order slip flow; similarity solution; stagnation point
Journal:Sains Malaysiana
ID Code:7522
Deposited By: ms aida -
Deposited On:10 Sep 2014 12:10
Last Modified:14 Dec 2016 06:44

Repository Staff Only: item control page