Analytical Results for a BVP Describing Radial Stagnation Flow with Transpiration

J. E. Paullet, P. D. Weidman

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We investigate the boundary value problem (BVP) resulting from an exact reduction of the Navier-Stokes equations for radial stagnation flow impinging on a porous cylinder with uniform transpiration. Existence of a solution is proven for all values of the Reynolds number and for both suction and blowing. The results are obtained using a topological shooting argument which varies a parameter related to the axial shear stress. This formulation permits a derivation of useful bounds on the axial shear stress in a straightforward manner. For a certain parameter range, uniqueness results are also obtained.

Original languageEnglish (US)
Pages (from-to)246-254
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume247
Issue number1
DOIs
StatePublished - Jul 1 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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