Download PDF by W. Fiszdon (Eds.): Fluid Dynamics Transactions. Symposium–Jabona–September 1961

By W. Fiszdon (Eds.)

ISBN-10: 008011007X

ISBN-13: 9780080110073

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Extra resources for Fluid Dynamics Transactions. Symposium–Jabona–September 1961

Example text

7 the plane (x,y). We shall consider the family of curves k (t) depending on t and belonging to plane (xy) given by the equation ■k(tj Φ (Xf yft) = 0 or t = Ψ(χ, y) (Φ {x,y, Ψ(χ, y)) = 0). e. 14) there exists a family of smooth, orthogonal to the family k(t)9 curves l(s) (Fig. 7). We shall prove the following theorem: Theorem 11. The curve k (t) changing with time can be a simple wave type flow boundary. To prove this we notice that the curves / (s) are the trajectories of points of the curve k (t) (we neglect the possible slip of points due to the absence of viscosity).

In order to show the complicity of the problem we shall quote the system of equations and the boundary conditions for a boundary layer in chemical equilibrium (for the axisymmetrical case), containing k chemical substances and v — chemical elements obtained by V. V. SHTCHENNIKOV. 1b) drqu drqv dx dy = 0. ,ν JTi \ 8x By By] (nTa—number of atoms of the element τ in the chemical substance a, ca—con­ centration of the substance a with reference to the molecular weight of the substance, Ia — diffusion flow of substance a with reference to the molecular weight).

GIESE, Compressible Flows with Degenerate Hodographs, Quart. Appl. , 9 (1961). [3] R. COURANT, K. O. FRIEDRICHS, Supersonic Flow and Shock Waves, New York 1948. [4] R. MISES, Mathematical Theory of Compressible Fluid Flow, New York 1958. [5] J. BONDER, Application des ondes simples a la recherche des ecoulements compressibles isentropiques, non stationaires, Actes du IX Congres Intern. Mec. , 3 (1956-1957). [6] A. A. NIKOLSKII, Some Exact Solution of Equations of Spatial Gas Flow, in Russian, Sb.

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Fluid Dynamics Transactions. Symposium–Jabona–September 1961 by W. Fiszdon (Eds.)


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