Skip to main content
Log in

Über ein Charakteristiken-Differenzenverfahren zur Berechnung laminarer Grenzschichten

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

Summary

The difference method ofLuckert-Hartree-Iglisch for the continuation of a boundary layer with a given pressure distribution is applied to an example to study various aspects of the method such as its adaptibility to automatic computers and the possibility of reducing the numerical work by suitable transformation of the variables. The method shows the step-wise dependence of the solution on the prescribed pressure distribution more directly than, e.g., power series expansions of the Blasius-Howarth type.

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

Literaturverzeichnis

  1. H. Luckert, Dissertation (Berlin 1933); abgedruckt in: Schr. Inst. angew. Math. Univ. Berlin1, 245–274 (1933).

    MATH  Google Scholar 

  2. D. R. Hartree, ARC, R. & M. 2427 (1939).

  3. R. Iglisch, Schr. dtsch. Akad. Luftfahrtforsch.8B, 1–51 (1944).

    Google Scholar 

  4. W. Tollmien,50 Jahre Grenzschichtforschung, herausgegeben vonH. Görtler undW. Tollmien (Braunschweig 1955), S. 1–12.

  5. W. Tollmien,Festschrift zum 60. Geburtstag von A. Betz (AVA, Göttingen 1945), S. 218–224.

    Google Scholar 

  6. G. B. Schubauer, NACA Rep. 527 (1935).

  7. R. Manohar, Dissertation (Göttingen 1957).

  8. H. Görtler, J. Math. Mech.6, 1–66 (1957).

    MATH  MathSciNet  Google Scholar 

  9. L. Howarth, ARC, R. & M. 1632 (1934).

  10. R. v. Mises, Z. angew. Math. Mech.7, 425–431 (1927).

    MATH  Google Scholar 

  11. D. Meksyn, Proc. Roy. Soc. [A]237, 543–559 (1956).

    MATH  MathSciNet  Google Scholar 

  12. R. Courant, K. Friedrichs undH. Lewy, Math. Ann.100, 32–74 (1928).

    Article  MathSciNet  Google Scholar 

  13. G. O'Brien, M. Hyman undS. Kaplan, J. Math. Phys.29, 223–251 (1951).

    MathSciNet  Google Scholar 

  14. H. Witting,50 Jahre Grenzschichtforschung, herausgegeben vonH. Görtler undW. Tollmien (Braunschweig 1955), S. 334–342.

  15. S. Goldstein, Quart. J. Mech.1, 43–69 (1948).

    MATH  Google Scholar 

  16. L. Prandtl, Z. angew. Math. Mech.18, 77–82 (1938).

    MATH  Google Scholar 

  17. C. B. Millikan, J. aero. Sci.3, 91–94 (1936).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grohne, D., Manohar, R. Über ein Charakteristiken-Differenzenverfahren zur Berechnung laminarer Grenzschichten. Journal of Applied Mathematics and Physics (ZAMP) 9, 332–346 (1958). https://doi.org/10.1007/BF02424756

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02424756

Navigation