Abstract
In the present paper an exact solution of the Navier-Stoke’s equations reduced to third and second order non-linear differential equations with appropriate boundary conditions is obtained. The longitudinal and transverse velocity profiles for λ=0·1, 1 and R=100 are drawn. It is noted that for large values of\(\bar x\), an adverse pressure gradient is developed which causes a back flow.
There is increase in pressure even for very small fluid suction along the stationary plate. The skin friction and the flow coefficient decrease with reference to the suction velocity and the distance along the stationary plate. For λ=0, the results transform to the known results for plane couette flow without suction.
Similar content being viewed by others
References
Schlichting, H. ..Boundary Layer Theory, McGraw-Hill, 1960.
Sinha, K. D. and Choudhary, R. C. “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,”Proc. Ind. Acad. Sci., 1965,61, 308–18.
Author information
Authors and Affiliations
Additional information
Communicated by Dr. P. L. Bhatnagar,f.a.sc.
Rights and permissions
About this article
Cite this article
Verma, P.D., Bansal, J.L. Flow of a viscous incompressible fluid between two parallel plates, one in uniform motion and the other at rest with uniform suction at the stationary plate. Proc. Indian Acad. Sci. 64, 385–396 (1966). https://doi.org/10.1007/BF03047526
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03047526