DUAL SOLUTIONS FOR AXISYMMETRIC STAGNATION POINT FLOW OVER A LUBRICATED SURFACE

TitleDUAL SOLUTIONS FOR AXISYMMETRIC STAGNATION POINT FLOW OVER A LUBRICATED SURFACE
Publication TypeJournal Article
Year of Publication2008
AuthorsISHIHARA, YOSHITAKA, PAULLET, JOSEPHE
Volume12
Issue3
Start Page289
Pagination7
Date Published2008
ISSN1083-2564
AMS35B15, 76D03, 76D10
Abstract

In this note we consider axisymmetric stagnation point flow of one fluid impinging on a disk covered with a second fluid. A similarity reduction is employed to reduce the governing PDEs to a nonlinear ODE boundary value problem. Previous numerical investigations of the problem in the literature indicate the existence of one solution. Here we prove the existence of at least two solutions to the BVP. We also obtain results concerning the possibility of further solutions and present numerical approximations to the solutions.

URLhttp://www.acadsol.eu/en/articles/12/3/5.pdf
Refereed DesignationRefereed
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