Skip to main content
Log in

Heat transfer in higher-order boundary layer flows at low Prandtl number with suction and injection

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

In this paper the heat transfer in the second order boundary layer flow of an incompressible fluid with uniform oncoming stream is studied at low Prandtl numbers using the method of matched asymptotic expansions. The suction and injection are also included in first as well as second-order problems. For each of the second-order effects due to longitudinal curvature, transverse curvature, displacement and suction or injection the first five terms in an asymptotic expansion are obtained and compared with available exact results.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Van Dyke, Higher order boundary layer theory.Annual Review of Fluid Mechanics, Vol. 1 (1969) 265–277.

    Google Scholar 

  2. M. Van Dyke, Higher approximations in boundary layer theory. Part I: General analysis.J. Fluid Mech. 14 (1962) 161–177.

    Google Scholar 

  3. C. W. Morgan, A. C. Pipkin and W. H. Warner, On heat transfer in laminar boundary layer flow of liquids having very small Prandtl number.J. Aeronaut. Sci. 25 (1958) 173–180.

    Google Scholar 

  4. J. D. Goddard and A. Acrivos, Asymptotic expansions for laminar forced convection heat and mass transfer. Part 2: Boundary-layer flow.J. Fluid Mech. 24 (1966) 339–366.

    Google Scholar 

  5. R. Narasimha and N. Afzal, Laminar boundary layer on a flat plate at low Prandtl number.Int. J. Heat Mass Transfer 14 (1971) 279–292.

    Google Scholar 

  6. N. Afzal and M. M. Oberai, Self-similar solutions of the second-order boundary layer of an incompressible fluid with heat transfer.Int. J. Heat Mass Transfer 15 (1972) 99–113.

    Google Scholar 

  7. N. Afzal and S. Ahmad, Effects of solution and injection on self-similar solutions of second-order boundary later equations.Int. J. Heat Mass Transfer 18 (1975) 607–614.

    Google Scholar 

  8. M. Van Dyke,Perturbation Methods in Fluid Mechanics, Academic Press. New York (1964).

    Google Scholar 

  9. D. Meksyn,New Methods in Laminar Boundary Layer Theory, Pergamon Press, Oxford (1961).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Afzal, N. Heat transfer in higher-order boundary layer flows at low Prandtl number with suction and injection. J Eng Math 10, 55–67 (1976). https://doi.org/10.1007/BF01535426

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01535426

Keywords

Navigation