Existence and a priori bounds for steady stagnation flow toward a stretching cylinder

Antonio Mastroberardino, Joseph E. Paullet

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We investigate the nonlinear boundary value problem (BVP) that is derived from a similarity transformation of the Navier-Stokes equations governing fluid flow toward a stretching permeable cylinder. Existence of a solution is proven for all values of the Reynolds number and for both suction and injection, and uniqueness results are obtained in the case of a monotonic solution. A priori bounds on the skin friction coefficient are also obtained. These bounds achieve any desired order of accuracy as the injection parameter tends to negative infinity.

Original languageEnglish (US)
Pages (from-to)701-710
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Volume365
Issue number2
DOIs
StatePublished - May 15 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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