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

• 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: non-symmetric flow; permeable surface; multiple solutions; asymptotic solutions
• Online Access: https://journals.vgtu.lt/index.php/MMA/article/view/9623

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.