caa a22 4500 469101407 CHVBK 20180323133045.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01052090 doi (NATIONALLICENCE)springer-10.1007/BF01052090 Variational problem of optimum side wall design for a narrow three-dimensional nozzle [Elektronische Daten] [A. Kraiko, A. Polyanskii, N. Tillyaeva] The optimum design of the side walls of the supersonic section of a three-dimensional nozzle with two planes of symmetry is considered in the narrow channel model approximation, which reduces three-dimensional to two-dimensional flow. This nozzle realizes maximum thrust for given sonic or supersonic inlet flow, upper and lower walls, maximum permissible length and pressure outside the nozzle. In general, an approximate solution of the variational problem can be obtained by the indeterminate control contour method [1]. For nozzles with nonexpanding "end” sections of the upper and lower walls this is a rigorous solution. Numerical algorithms, based on the method of characteristics, for constructing the optimum, side walls and calculating the flow in narrow channels are developed in the formulation adopted using the optimality conditions found, which generalize the wellknown conditions for plane and axisymmetric configurations [1]. In addition, the three-dimensional supersonic flow in the nozzles thus designed has been calculated in accordance with a shock-capturing marching scheme [2], which for the uniform grids employed in the calculations gives a second-order approximation. A rather complex relation is established between the thrust of the optimum configurations constructed and the shape of their inlet cross sections. Plenum Publishing Corporation, 1992 Kraiko A. Moscow aut Polyanskii A. Moscow aut Tillyaeva N. Moscow aut Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/2(1992-03-01), 230-238 0015-4628 27:2<230 1992 27 10697 https://doi.org/10.1007/BF01052090 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01052090 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kraiko A. Moscow aut NATIONALLICENCE 700 1- Polyanskii A. Moscow aut NATIONALLICENCE 700 1- Tillyaeva N. Moscow aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/2(1992-03-01), 230-238 0015-4628 27:2<230 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer