Some boundary-layer growth problems associated with a flat plate with suction or injection
type: Item
instance of: scholarly article
title: Some boundary-layer growth problems associated with a flat plate with suction or injection
zbMATH Open document ID: 1030.35135
DOI: 10.1016/S0096-3003(00)00051-5
author: Stelian Turbatu
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The paper is a more elaborate continuation of a previous study made by the first author [Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 40, 183-192 (1997; Zbl 0926.76029)]. In that older paper he studied the behaviour of the boundary layer of a flow on a flat porous plate in the presence of suction or injection. He established the boundary problem for the motion of the form \(\partial u/\partial t+V_0\partial u/\partial y=\nu\partial^2u/ \partial y^2\), \(u(0,t)= U(t)\), \(u(\infty,t)=0\), \(u(y,0)=0\), with the notations: \(V_0\) -- the constant value of \(V(t)\), the normal velocity of the fluid on the surface of the plate, \(\nu\) -- the kinematic viscosity of the fluid. This boundary problem was solved in the quoted paper using a Lapace transform, with the solution \(U(t)= (U_0/\Gamma (\alpha)) t^{\alpha-1} e^{-\beta t}\). Because this solution presents some difficulties for the general expression of the motion, the authors give another, more general, solution of the above problem, also by means of the Laplace transform, using \(H\) functions, where H. M. Srivastava has his own contributions.
reviewed by: Vasile Ionescu
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76D55
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 1860920
zbMATH Keywords: boundary layer motions
zbMATH Keywords: flow control
zbMATH Keywords: active control
zbMATH Keywords: Laplace transform
zbMATH Keywords: special functions
MaRDI profile type: Publication
cites work: Q4348072
cites work: Q3707478
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cites work: Boundary Layer Growth on a Flat Plate with Suction or Injection
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full work available at URL: s0096-3003(00)00051-5
OpenAlex ID: W2074644402
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description: scientific article; zbMATH DE number 1860920