Journal Article

Mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order wall velocity condition and a constant surface heat flux

Natalia C. Roşca, Alin V. Roşca, John H. Merkin and Ioan Pop

in IMA Journal of Applied Mathematics

Published on behalf of Institute of Mathematics and its Applications

Volume 80, issue 2, pages 431-451
Published in print April 2015 | ISSN: 0272-4960
Published online November 2013 | e-ISSN: 1464-3634 | DOI: http://dx.doi.org/10.1093/imamat/hxt045
Mixed convection boundary-layer flow near the lower stagnation point of a horizontal circular cylinder with a second-order wall velocity condition and a constant surface heat flux

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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 is investigated. By choosing appropriate similarity variables, the partial differential equations and boundary conditions governing the flow are transformed into a similarity system. This is solved numerically for different values of the governing parameters. These solutions can have two branches, an upper and a lower branch, over certain ranges of the mixed convection parameter. These numerical studies are complemented by the derivation of the asymptotic limits of the system parameters. A stability analysis is performed, showing that the upper branch is stable and physically realizable, whereas the lower branch solutions are unstable.

Keywords: mixed convection; boundary-layer flow; stagnation point; second-order slip condition

Journal Article.  0 words. 

Subjects: Applied Mathematics

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