Abstract
In a previous paper an example has been given of the treatment of a hydrodynamical problem with the aid of the equations given by Oseen. The case considered belonged to the most simple class of problems, in which the fluid is bounded neither by exterior nor by interior surfaces, but is moving only under the influence of a system of external forces.1)
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References
Cf. these Proceedings 32, p. 1278, 1929 and also a paper to be published in the Zeitschr. f. angew. Math. u. Mechanik of this year.
Cf. these Proceedings 33, p. 504, 1930.
L. Bairstow, B. M. Cave and E. D. Lang, Philos. Trans. London A 223, p. 406, 1923.
H. Blasius, Thesis Gottingen 1907 (Zeitschr. f. Math. u. Physik 56, p. 1, 1908).
C. W. Oseen, Hydrodynamik (Leipzig 1927), p. 37. — The notation used in the text is the same as was used in these Proceedings 33, p. 504.
Cf. eg. R. v. Mises u. PH. Frank, Die Diff. u. Integralgleichungen der Mech. u. Physik (Braunschweig 1925) I, p. 391 (§ 2.1); E. T. Whittaker and G. N. Watson. Modem Analysis (Cambridge 1920), p. 229 (§11. 8).
Parts I—III: these Proceedings 32, p. 414. 643, 818, 1929.
Two other papers (one published in the “Vorträge a. d. Gebiete der Aerodynamik usw. Aachen 1929’, p. 21, and the other in the Journal of applied physics (Moscow) 7. 3, p. 3, 1930) mainly reproduce the treatment given in the first section, though with some changes in the notation and in the discussion of the formulae describing the statistical distribution.
À clear exposition has been given by PRANDTL in a paper titled: Neuere Ergebnisse der Turbulenzforschung, Zeitschr. d. Ver. deutsch. Ing. 77, p. 105. 1933. For Von Karan s deductions see: Nachr Ges. d. Wiss. Göttingen, Math. phys. Klasse 1930, p. 58, and other papers (references in Prandtl’s paper).
O. Reynolds, Papers on mechanical and physical subjects, Vol. II, p. 575–577.
These Proceedings 26, p. 582, 1923.
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Burgers, J.M. (1995). Hydrodynamics — On the application of Oseen’s theory to the determination of the friction experienced by an infinitely thin flat plate . In: Nieuwstadt, F.T.M., Steketee, J.A. (eds) Selected Papers of J. M. Burgers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0195-0_6
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