An iteration method
similar to the thin-wing-expansion method for the compressible flow has been
proposed to solve the boundary layer flow past a flat plate. Using such an
iteration, the first step of which is Oseen’s approximation, the boundary layer
past a flat plate is studied. As proceeding from the first approximation to the
second and third approximations, it is realized that our solution approaches to
a well known Howarth’s bench mark one gradually. Hence, it is concluded that
the usefulness of the present method has been confirmed.
References
[1]
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[2]
Blasius, H. (1908) Grenzschichten in Flüssigkeiten mit kleiner Reibung. Zeits. f. Math. u. Phys, 56, 1-37.
[3]
von Kámán, Th. (1921) über laminare und turbulente Reibung. ZAMM, 1, 233-252. http://dx.doi.org/10.1002/zamm.19210010401
[4]
Howarth, L. (1938) On the Solution of the Laminar Boundary Layer Equations. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 164, 547-579. http://dx.doi.org/10.1098/rspa.1938.0037
[5]
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[6]
Pohlhausen, K. (1921) Zur naherungsweisen Integration der Differentialgleichung der Grenzschicht. ZAMM, 1, 252-268. http://dx.doi.org/10.1002/zamm.19210010402
[7]
Tani, I. (1954) On the Approximate Solution of the Laminar Boundary Layer Equations. Journal of the Aeronautical Sciences, 21, 487-495. http://dx.doi.org/10.2514/8.3092
[8]
Meksyn, D. (1961) New Methods in Laminar Boundary Layer Theory. Pergamon Press, 65-81.
[9]
Imai, I. (1944) Two-Dimensional Aero-Foil Theory for Compressible Fluids. Rep. Aero. Research Institute, Tokyo Imperial University, No. 294.
[10]
Schlichting, H. (1960) Boundary Layer Theory. New York, McGraw-Hill, 125-134.
