Summary
This paper deals with unsteady laminar boundary layers contiguous to self-similar flows. The following general result is obtained: when the self-similar structure of the external flow is apparent in the boundary layer system of coordinates, and when there is no heat transfer through the wall, then the boundary layer is self-similar too. This property can be applied to a lot of known self-similar motions. Some examples are considered for which the final form of the boundary layer equations is formulated.
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References
Birkoff, G.: Hydrodynamics. New York: Princeton Press 1950.
Dyment, A.: Physics of Fluids25 (11), 1968 (1982).
Landau, L. D., Lifshitz, E. M.: Fluid mechanics. New York: Pergamon 1959.
Martinot-Lagarde, A.: Similitude physique. Exemples d'application à la mécanique des fluides. Mémorial des Sciences Physiques LXVI. Paris: Gauthier-Villars 1960.
Moore, F. K.: Theory of laminar flows. Princeton 1964.
Sakurai, A.: Basic developments in fluid dynamics, Vol. 1. Ed. Holt. Academic Press 1965.
Sedov, L. I.: Similarity and dimensional methods in mechanics. New York: Academic Press 1959.
Thompson, P. A.: Compressible fluid dynamics. New York: McGraw Hill 1972.
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Dyment, A. Self similar unsteady boundary layers. Acta Mechanica 59, 91–102 (1986). https://doi.org/10.1007/BF01177062
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DOI: https://doi.org/10.1007/BF01177062