The boundary layers of an unsteady incompressible stagnation-point flow with mass transfer

Tiegang Fang, Chia Fon F. Lee, Ji Zhang

Research output: Contribution to journalArticle

Abstract

In the current work, the boundary layers of an unsteady incompressible stagnation-point flow with mass transfer were further investigated. Similarity transformation technique was used and the similarity equation group was solved using numerical methods. Interesting observation is that there are multiple solutions seen for negative unsteadiness parameters, β. The influences of mass transfer, unsteadiness parameter, and Prandtl numbers on velocity and temperature profiles, wall drag, and wall heat fluxes were investigated and analyzed. The asymptotic behaviors for the similarity equations in limiting situations were theoretically analyzed. It is found that solutions exist for all mass transfer parameters for β≥-1. For a certain mass transfer parameter, there are two solutions when βc<β<0; there is one solution for (β=βc)∪(β≥0); there is no solution for β<βc, where βc is a critical unsteadiness parameter dependent on mass transfer parameter.

Original languageEnglish (US)
Pages (from-to)942-948
Number of pages7
JournalInternational Journal of Non-Linear Mechanics
Volume46
Issue number7
DOIs
StatePublished - Sep 1 2011

Keywords

  • Mass transfer
  • Similarity solution
  • Stagnation-point flow
  • Unsteady boundary layer

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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