Summary
The purpose of the paper is to consider the stability for wavelike disturbances in the steady, twodimensional, laminar boundary layer of a magnetic field, which is applied uniformly normal to the flat plate. The results show that the critical Reynolds number (R *c ) increases remarkably with the characteristic parameter (δ). The increase of the critical Reynolds number depends not only on the shape parameter of the velocity distribution in the boundary layer but also on the peculiarity of the velocity profile. It is also found that the boundary layer holds itself laminar all over the flat plate, when the magnetic parameterN is greater than 1.25×10−7, then a reduction of the skin-frictin drag might be expeced.
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Literaturverzeichnis
R. C. Lock, Proc. R. Soc., Lond. [Ser. A]233, 105 (1955).
S. Chandrasekhar,Hydrodynamic and Hydromagnetic Stability (Oxford University Press, 1961).
R. Kobayashi, Ing.-Arch.38, 292 (1969), und Auch Rep. Inst. High Speed Mech., Tohoku Univ., Japan, 22, 91 (1970).
R. Kobayashi, in Z. angew. Math. Mech.52, 337 (1972).
V. J. Rossow, NACA, TN 4282 (1958).
V.J. Rossow, NACA, TR 1358 (1958).
P. Ramamoorthy, AIAA J.6, Nr. 7, 1407 (1968).
E. Lewis, Q. J. Mech. appl. Math.21, Teil 4, 401 (1968).
J. K. Dukowicz, C. S. Mathams undJ. H. DeLeeuw, Can. Aeron. Space Inst. Trans.1, Nr. 1, 45, (1968).
R. Iglisch, NACA tech. Memor., Nr. 1205 (1949).
C. C. Lin, Q. appl. Math.3, 117, 218 und 277 (1945/46).
H. B. Squire, Proc. R. soc. Lond. [Ser. A]142, 264 (1962).
E. F. Kutrz undS. H. Crandall, J. Math. Phys.41, 264 (1962).
R. Jordinson, J. Fluid Mech.43, Teil 4, 801 (1970).
A. Ulrich, NACA TM 1121 (1944).
J. T. Stuart, Hydrodynamic Stability, in: Laminar Boundary Layers (Ed. L. Rosenhead; Oxford University Press, 1963), s. 492.
K. Bussmann undH. Münz, Jb. dt. Luftfahrtforsch.I, 36 (1942).
P. Chiarulli undJ. C. Freeman, Techn. Rep. Headquarters Air Material Command, Dayton F-TR/ 1197-1A (1948).
T. H. Hughes undW. H. Reid, J. Fluid Mech.23, Teil 4, 715 (1965).
H. Schlichting,Grenzschicht-Theorie (Verlag G. Braun, Karlsruhe 1965), S. 588.
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Kobayashi, R. Hydromagnetische Stabilität laminarer Grenzschicht an einer längsangeströmten ebenen Platte. Journal of Applied Mathematics and Physics (ZAMP) 23, 341–352 (1972). https://doi.org/10.1007/BF01595476
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DOI: https://doi.org/10.1007/BF01595476