Skip to main content
SpringerLink
Log in

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

  • Published:
Proceedings of the Indian Academy of Sciences - Section A Aims and scope Submit manuscript

Summary

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(=v 0 y 0/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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Pai, S. I...Viscous Flow Theory, 1,Luminar Flow. Van Nostrand Co., New York, 1956, p. 50.

    Google Scholar 

  2. Lamb, H. ..Hydrodynamics, Cambridge University Press, 200, Euston Road, London, N.W. 1.

  3. Goldstein, S...Modern Developments in Fluid Dynamics, Oxford, Clarendon Press, 1957.

    Google Scholar 

  4. Schlichting, N. ..Boundary Layer Theory, McGraw-Hill Book Company, 1955.

Download references

Author information

Authors and Affiliations

  1. Regional Institute of Technology, Jamshedpur

    K. D. Sinha (Assistant Lecturer in Mathematics)

  2. Regional Institute of Technology, Jamshedpur

    R. C. Choudhary (Lecturer in Mathematics)

Authors
  1. K. D. Sinha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. C. Choudhary
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Dr. N. S. Nagendra Nath,f.a.sc., f.n.i.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sinha, K.D., 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. Indian Acad. Sci. 61, 308–318 (1965). https://doi.org/10.1007/BF03049253

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03049253

Keywords

Search

Navigation