Article

Proceedings of the Indian Academy of Sciences - Section A

, Volume 51, Issue 1, pp 1-13

First online:

Boundary layer on a flat plate with suction

  • P. L. BhatnagarAffiliated withDepartment of Applied Mathematics, Indian Institute of Science
  • , R. SankarAffiliated withDepartment of Applied Mathematics, Indian Institute of Science
  • , A. C. JainAffiliated withDepartment of Applied Mathematics, Indian Institute of Science

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Summary

In this paper we have discussed the boundary layer on a plate with suction. The problem is solved near the leading edge as well as far downstream. A linear suction law is assumed near the leading edge for simplicity, whereas no restriction is placed on the suction law in the region downstream. An explict expression for boundary layer thickness in terms of suction speed and distance from leading edge is derived. It is found that the thickness of the boundary layer depends on the derivative of the suction speed. The skin friction also has been evaluated. Though near the leading edge a linear law of suction is assumed, the method used in the paper can be easily generalised for any other power law, for example, we may use a power series expansion for the function defining the suction velocity.