Non-symmetric flow over a stretching/shrinking surface with mass transfer

The non-symmetric flow over a stretching/shrinking surface in an otherwise quiescent fluid is considered under the assumption that the surface can stretch or shrink in one direction and stretch in a direction perpendicular to this. The problem is reduced to similarity form, being described by two d...

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Bibliographic Details
Main Authors: Yian Yian Lok, John H. Merkin, Ioan Pop
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2019-10-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9623
Description
Summary:The non-symmetric flow over a stretching/shrinking surface in an otherwise quiescent fluid is considered under the assumption that the surface can stretch or shrink in one direction and stretch in a direction perpendicular to this. The problem is reduced to similarity form, being described by two dimensionless parameters, γ the relative stretching/shrinking rate and S characterizing the fluid transfer through the boundary. Numerical solutions are obtained for representative values of γ and S, a feature of which are the existence of critical values  of γ dependent on S, these being determined numerically. Asymptotic forms for large γ and S, for both fluid withdrawal, S > 0 and injection S < 0 are obtained and compared with the corresponding numerical results.
ISSN:1392-6292
1648-3510