Non-symmetric flow over a stretching/shrinking surface with mass transfer. (English) Zbl 07868785
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, \(\gamma\) the relative stretching/shrinking rate and \(S\) characterizing the fluid transfer through the boundary. Numerical solutions are obtained for representative values of \(\gamma\) and \(S\), a feature of which are the existence of critical values \(\gamma_c\) of \(\gamma\) dependent on \(S\), these being determined numerically. Asymptotic forms for large \(\gamma\) and \(S\), for both fluid withdrawal, \(S>0\) and injection \(S<0\) are obtained and compared with the corresponding numerical results.
MSC:
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 65L07 | Numerical investigation of stability of solutions to ordinary differential equations |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76M45 | Asymptotic methods, singular perturbations applied to problems in fluid mechanics |
Software:
bvp4cReferences:
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