Remarks on Plane, Steady, Creeping Flows Generated by Singularities

• Autorzy: Klonowska-Prosnak, M.E. , Cześnik, P.
• Języki publikacji: EN

Abstrakty

EN

Two properties of plane, steady, creeping flow generated in the infinite domain around a given contour by a single singularity are investigated in the paper. The first property concerns velocity field. It is shown, that stream uniform at infinity must occur automatically in this case, and formulae for velocity of the stream are derived. The second property concerns similarity of streamline pattern of such flow, and the potential one, generated around the same contour by the same singularity. Investigation of the both properties concerns - in particular: a disc, an ellipse and the airfoil sections NACA 0012, RAE 2822.

Słowa kluczowe

EN

creeping flow; potential flow; Goursat formula; source; vortex; doublet; stream uniform at infinity

• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2002
• Tom: Vol. 50, Nr 1
• Strony: 45--69
• Opis fizyczny: Bibliogr. 8 poz., rys., 1 tab.

Twórcy

autor

Klonowska-Prosnak, M.E.

• Institute of Oceanology, Polish Academy of Sciences, Powstańców Warszawy 55, PL 81-712 Sopot (Instytut Oceanologii PAN),

autor

Cześnik, P.

• Institute of Oceanology, Polish Academy of Sciences, Powstańców Warszawy 55, PL 81-712 Sopot (Instytut Oceanologii PAN)

Bibliografia

• [1] M.E. Klonowska, W.J. Prosnak, Ona method of computing the Stokes flow in plane multiply connected domains, Bull. Pol. Ac.: Tech., 34 (1986) 505-518.
• [2] M. E. Klonowska, Some examples of the plane Stokes flow around an arbitrary contour. Bull. Pol. Ac.: Tech., 36 (1988) 159-176.
• [3] E. Goursat, Sur l’equation ΔΔu = 0, Bull. Soc. Math., France, 26 (1898) 236-237.
• [4] J. M. Dorrepal, M.E.O’Neil, K.B. Ranger, Two-dimensional Stokes flows with cylinders and line singularities, Mathematika, 31 (1984) 65-75.
• [5] S.H. Smith, Some limitations of two-dimensional unbounded Stokes flow, Phys. Fluids, A2 (1990) 1724-1730.
• [6] W. J. Prosnak, M. E. Klonowska, Introduction to numerical fluid mechanics, Part B: conformal mapping (in Polish), Ossolineum, Wroclaw 1996.
• [7] M. E. Klonowska, On creeping flow over a cylinder rotating in presence of translating plane boundary, Acta Mechanica, 142 (2000) 149-168.
• [8] M.E. Klonowska-Prosnak, W.J. Prosnak, An exact solution to the problem of creeping flow around circular cylinder rotating in presence of translating plane boundary, Acta Mechanica, 146 (2001) 115-126.