Some boundary-layer growth problems associated with a flat plate with suction or injection. (English) Zbl 1030.35135
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.
Reviewer: Vasile Ionescu (Bucureşti)
MSC:
| 35Q30 | Navier-Stokes equations |
| 35C05 | Solutions to PDEs in closed form |
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 76D55 | Flow control and optimization for incompressible viscous fluids |
| 44A10 | Laplace transform |
Citations:
Zbl 0926.76029References:
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