Skip to main content
SpringerLink
Log in

An exact solution for flow in a porous pipe

  • Brief Reports
  • Published:
Zeitschrift für angewandte Mathematik und Physik Aims and scope Submit manuscript

Summary

An exact solution of the Navier-Stokes equations for flow in a porous pipe is presented. This solution allows the suction or injection at the wall to vary with axial distance and will provide new insight into flows through porous pipes.

Resumé

Une solution exacte d'équation de Navier-Stokes est présentée pour l'écoulement d'un liquide visqueux dans un tube perméable. Ce liquide est aspiré ou injecté avec une vélocité variable et la solution donne une nouvelle optique quant aux tubes poreuses.

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. F. W. White Jr.,Laminar flow in a uniformly porous tube. J. Appl. Mech.29, 203 (1962).

    Article  Google Scholar 

  2. R. M. Terrill and P. W. Thomas,On laminar flow through a uniformly porous pipe. Appl. Sci. Res.21, 31 (1969).

    Article  Google Scholar 

  3. Raithby, G.,Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injection. Int. J. Heat and Mass Transfer14, 223 (1971).

    Article  Google Scholar 

  4. V. I. Zinchenko and O. P. Fedorova,Analysis of flow in an annular duct with large injection at the walls. Izv. Aka. Nauk SSSR, Mekhaniki Zhidkosti3, 135 (1976).

    Google Scholar 

  5. J. Morel, Z. Lavan, and B. Bernstein,Flow through rotating porous annuli. Phys. Fluids20, 726 (1977).

    Article  Google Scholar 

  6. R. M. Terrill and P. W. Thomas,Spiral flow in a porous pipe. Phys. Fluids16, 356 (1973).

    Article  Google Scholar 

  7. J. Morel, B. Bernstein and Z. Lavan,A method of parameter differentiation applied to flow in porous annuli. Z. Angew. Math. Phys.27, 289 (1976).

    Article  MathSciNet  Google Scholar 

  8. H. Weissberg,Laminar flow in the entrance region of a porous pipe. Phys. Fluids5, 510 (1959).

    Article  MathSciNet  Google Scholar 

  9. R. Hornbeck,Laminar entry problem in porous tubes. Phys. Fluids6, 1649 (1963).

    Article  Google Scholar 

  10. J. P. Quaile and E. K. Levy,Laminar flow in a porous tube with suction. J. Heat Transfer, ASME66 (1975).

  11. R. M. Terrill,Flow through a porous annulus. Appl. Sci. Res.17, 204 (1966).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Applied Mathematics and Theoretical Physics, University of Liverpool, Liverpool, Great Britain

    R. M. Terrill

Authors
  1. R. M. Terrill
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Terrill, R.M. An exact solution for flow in a porous pipe. Z. angew. Math. Phys. 33, 547–552 (1982). https://doi.org/10.1007/BF00955703

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00955703

Keywords

Search

Navigation