Summary
The Falkner-Skan transformation has been generalized to study the boundary layer flow of a viscous incompressible conducting fluid past a flat plate in the presence of a uniform transverse magnetic field fixed to the plate. Keeping the convergence aspect in view series solution, different from the conventional, for the velocity boundary layer has been developed. It is found that only few terms in the series expansion are enough to give the skin-friction coefficient to a good degree of accuracy.
Zusammenfassung
Die Falkner-Skan-Transformation wird verallgemeinert für den Fall der Grenzschichtströmung eines leitenden, zähen, inkompressiblen Mediums längs einer ebenen Platte in einem konstanten Magnetfeld senkrecht zur Platte. Es wird eine neue Reihenentwicklung mit guten Konvergenzeigenschaften für die Geschwindigkeit in der Grenzschicht hergeleitet. Hier reichen wenige Terme der Reihenentwicklung aus, um den Koeffizienten der Oberflächenreibung in guter Genauigkeit zu bestimmen.
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References
Rossow, V. J.: On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field. NACA, Rept. 1358 (1958).
Blasius, H.: Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. angew. Math. u. Phys.56, 1–37 (1908).
Howarth, L.: On calculation of the steady flow in the boundary layer near the surface of a cylinder in a stream, Rept. Memor. Res. Counc. London1934, 1632.
Cramer, K. R., Pai, S. I.: Magnetofluiddynamics for engineers and applied physicist. New York: McGraw-Hill 1973.
Falkner, V. M., Skan, S. W.: Solutions of the boundary layer equations. Phil. Mag.12, 865–896 (1931).
Pai, S. I.: Magnetogasdynamics and plasma dynamics. Berlin-Heidelberg-New York: Springer 1962.
Bansal, J. L.: On a class of ‘non-similar’ solutions of compressible boundary layer equations. Appl. Sci. Res.36 (1980).
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Bansal, J.L. On the hydromagnetic boundary layer flow past a flat plate. Acta Mechanica 41, 35–40 (1981). https://doi.org/10.1007/BF01246902
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DOI: https://doi.org/10.1007/BF01246902