• R C Choudhary

Articles written in Proceedings – Section A

• Flow of a viscous incompressible fluid between two parallel plates, one in uniform motion and the other at rest, with suction at the stationary plate

In this paper an attempt has been made to find the solution of the Navier-Stokes equations for the flow of a viscous incompressible fluid between two plates, one at rest and the other in uniform motion, with small uniform suction at the stationary plate. A solution has been obtained under the assumption that the pressure between the two plates is uniform. It has been shown that due to suction a linear transverse velocity is superimposed over the longitudinal velocity. With suction, the longitudinal velocity distribution between the plates becomes parabolic and decreases along the length of the plate.

The longitudinal velocity, the shearing stress at the stationary plate, and the volume rate of flow increase withσ(=v0y0/v), the suction parameter defined with reference to the suction velocity, and the distance between the two plates. Forσ=0 the results transform to the known results for plane Coutte flow without suction.

• Steady laminar boundary layer of a viscous incompressible fluid in a convergent channel with distributed suction at the wall

In this paper an attempt has been made to find the solution of the boundary layer equations for two-dimensional laminar steady motion of a viscous incompressible fluid in a convergent channel (sink flow) with suction at the wall. Suction velocity v0 (x) ∼ 1/x has been imposed at the wall and an approximate solution has been obtained with the help of similarity transformation. A solution valid at a large distance from the wall and a series solution valid near the wall have been obtained and the two solutions have been joined at a suitable point. It is seen that the boundary layer thickness diminishes as the value of the suction parameter$$\lambda ( = v_0 x/\sqrt {u_1 v} )$$ increases.

The velocity profile and the boundary layer parameters for solid wall (λ = 0) obtained from this solution are found to be in close agreement with the profile and the parameters calculated from the known exact solution for the solid wall problem.

• Boundary layer along the initial length of a flat plate at zero incidence with homogeneous suction

An investigation has been made into the two-dimensional laminar incompressible boundary layer along the initial length of a semi-infinite flat plate at zero incidence with homogeneous suction. The momentum and the kinetic energy integral equations have been numerically integrated with the aid of a singly infinite system of boundary layer velocity profiles.

The results obtained are well in agreement with the known exact solution and the process of integration is simpler to be carried out by the use of a monoparametric family of velocity profiles. The method can be used to investigate the boundary layer along a flat plate with arbitrary suction starting either at the leading edge or at some point downstream.

•