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Nonuniform slot injection (suction) into a compressible flow. (English) Zbl 1064.76093
The paper studies the effect of nonuniform slot injection or suction on a steady nonsimilar compressible flow over a yawed infinite cylinder. The finite discontinuities arising at the leading and trailing edges of the slot for the uniform slot injection (or suction) are removed by choosing appropriate nonuniform mass transfer distributions in the slot. The difficulties arising at the starting point of the streamwise coordinate, at the edges of the slot, and at the point of separation are overcome by applying a quasilinear implicit finite difference scheme with an appropriate selection of finer step size along the streamwise direction. The results indicate that the nonuniform slot injection moves the point of separation downstream, but the nonuniform slot suction has the reverse effect. An increase in Mach number and total enthalpy at wall causes the separation to occur earlier while cooling delays it. The yaw angle has very little effect on the skin friction, and thus on the point of separation.

MSC:
76N20 Boundary-layer theory for compressible fluids and gas dynamics
76M20 Finite difference methods applied to problems in fluid mechanics
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[1] Crabtree, L. F.: The compressible laminar boundary layer on a yawed infinite wing. Aeronaut. Q.5, 85-100 (1954).
[2] Tinkler, J.: Effect of yaw on the compressible laminar boundary layer. British ARC FM 2269 (1955). · Zbl 0067.42902
[3] Dewey, C. F., Gross, J. F.: Exact solutions of the laminar boundary layer equations. In: Adv. heat transfer.4, p, 317. New York: Academic Press 1967. · Zbl 0134.21404
[4] Maskell, E. C.: Flow separation in three-dimensions. Royal Aircraft Establishment Rep. Aero. 2565, Farnborough, England (1955).
[5] Williams, J. C.: Incompressible boundary layer separation. Ann. Rev. Fluid Mech.9, 113-144 (1977). · Zbl 0402.76032
[6] Cebeci, T., Khattab, A. K., Stewartson, K.: Three-dimensional laminar boundary layers and the OK of accessibility. J. Fluid Mech.107, 57-87 (1981). · Zbl 0466.76033
[7] Smith, F. T.: Steady and unsteady boundary layer separation. Ann. Rev. Fluid Mech.18, 197-220 (1986). · Zbl 0615.76048
[8] Smith, F. T., Stewartson, K.: On slot injection into a supersonic laminar boundary layer. Proc. R. Soc. London Ser.A332, 1-22 (1973). · Zbl 0267.76054
[9] Werle, M. J.: Supersonic laminar boundary layer separation by slot injection. A.I.A.A.J.17, 160-167 (1979). · Zbl 0392.76029
[10] Napolitano, M.: Numerical study of strong slot injection into a supersonic laminar boundary layer. A.I.A.A.J.18, 72-77 (1980). · Zbl 0428.76054
[11] Napolitano, M., Messick, R. E.: On strong slot injection into a subsonic laminar boundary layer. Computers and Fluids8, 199-212 (1980). · Zbl 0427.76036
[12] Riley, N.: Nonuniform slot injection into a laminar boundary layer. J. Engng. Maths.15, 299-314 (1981). · Zbl 0475.76065
[13] Roy, S., Nath, G.: Nonuniform slot injection (suction) or wall enthalpy into a steady nonsimilar compressible laminar boundary layer. Acta Mech.103, 45-63 (1994). · Zbl 0815.76074
[14] Inouye, K., Tate, A.: Finite difference version quasilinearization applied to boundary layer equations. A.I.A.A.J.12, 558-560 (1974). · Zbl 0289.76021
[15] Wortman, A., Ziegler, H., Soo-Hoo, G.: Convective heat transfer at general three-dimensional stagnation point. Int. J. Heat Mass Transfer14, 149-152 (1971).
[16] Schlichting, H.: Boundary layer theory. New York: McGraw-Hill 1979. · Zbl 0434.76027
[17] Shih-I, P.: Introduction to the theory of compressible flow. New York: Van Nostrand 1958.
[18] Carrier, C. F., Pearson, C. E.: Partial differential equations theory and technique, p. 134. New York: Academic Press 1976. · Zbl 0323.35001
[19] Varga, R. S.: Matrix iterative analysis, p. 194. New Jersey: Prentice-Hall 1962.
[20] Smith, A. M. O., Clutter, D. W.: Solutions of incompressible laminar boundary layer equations. A.I.A.A.J.1, 2062-2071 (1963). · Zbl 0116.42404
[21] Smith, A. M. O., Clutter, D. W.: Machine calculations of compressible laminar boundary layers. A.I.A.A.J.3, 639-647 (1965). · Zbl 0128.43701
[22] Venkatachala, B. J., Nath, G.: Nonsimilar laminar incompressible boundary layers with vectored mass transfer. Proc. Indian Acad. Sci. (Engng. Sci.)3, 129-142 (1980).
[23] Schmidt, E., Wenner, L.: Wärmeabgabe über den Umfang eines angeblasenen geheizten Zylinders. NACATM1050, 1943.
[24] Vasantha, R., Nath, G.: Unsteady nonsimilar laminar compressible boundary layer flows over two-dimensional and axi-symmetric bodies. Acta Mech.57, 215-231 (1985).
[25] Davis, T., Walker, G.: On solution of the compressible laminar boundary layer equations and their behaviour near separation. J. Fluid Mech.80, 279-292 (1977). · Zbl 0351.76074
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