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

By W. Fiszdon (Eds.)

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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). Let / (s0) (x = x (t), y =y(t)) by the trajectory of an arbitrary point of the variable profile k(i). 16) fi (a) nx ( a (x, y)) + f2 (a) ny ( a {x, y)) — 1 = 0. 16) it follows that during the motion of the profile k{t) the velocity of sound a is constant along the straight lines a (x9 y) = const, but if the trajectories / (s) are curvilinear then the velocity of sound at a given moving point of the profile k (t) will change (Fig.

This can be seen from the example of conical flow. Compressible Flow of Simple Wave Type 39 3. Steady Flow Simple waves, in the case of steady two-dimensional flow are already widely investigated; it appears, that this type of flows possesses a number of interesting properties (see [3], [4]). For instance, it is known, that for any smooth profile there exists a steady flow of the simple wave type, flowing past this profile (Prandtl-Mayer supersonic flow). In connection with this we shall consider, in this paragraph, the following question: may arbitrary stationary bodies, built of smooth surfaces, be boundary of a simple waves type flow.

D. SHMYGLEVSKII, [2], SINCLAIR M. SCALA, [3], R. BROMBERG and R. LIPKIS, [4], L. LEES, [5]. The most complete system of equations was set by V. V. SHTCHENNIKOV, [6]. He gave the solution of the problem of the boundary layer with chemical reactions and evaporation of the surface in the vicinity of the critical point. At present the problem consists in working out methods of solution of boundary layer equations for a general case. 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.

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