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

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 condition...

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Bibliographic Details
Published in:IMA journal of applied mathematics 2015-04, Vol.80 (2), p.431-451
Main Authors: Ro ca, N. C., Ro ca, A. V., Merkin, J. H., Pop, I.
Format: Article
Language:English
Subjects:
Boundaries
Constants
Convection
Heat flux
Heat transfer
Horizontal
Mathematical models
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Summary: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.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxt045