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Stability of a nonorthogonal stagnation flow to three-dimensional disturbances. (English) Zbl 0747.76056
A similarity solution for a low Mach number nonorthogonal flow impinging on a hot or cold plate is presented. For the constant-density case, it is known that the stagnation point shifts in the direction of the incoming flow and that this shift increases as the angle of attack decreases. When the effects of density variations are included, a critical plate temperature exists; above this temperature the stagnation point shifts away from the incoming stream as the angle is decreased. This flow field is believed to have applications to the reattachment zone of certain separated flows or to a lifting body at a high angle of attack. Finally, we examine the stability of this non-orthogonal flow to self-similar, three-dimensional disturbances. Stability characteristics of the flow are given as a function of the parameters of this study: ratio of the plate temperature to that of the outer potential flow and angle of attack.

76E99 Hydrodynamic stability
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
Full Text: DOI
[1] Brattkus, K., and Davis, S.H. (1991) Quart. J. Mech. Appl. Math., 44, 135. · Zbl 0736.76024
[2] Dorrepaal, J.M. (1986) An Exact Solution of the Navier-Stokes Equation which Describe Nonorthogonal Stagnation-Point Flow in Two Dimensions. J. Fluid Mech., 163, 141-147. · Zbl 0605.76033
[3] Hall, P., and Malik, M.R. (1986) On the Instability of a Three-Dimensional Attachment-Line Boundary Layer: Weakly Nonlinear Theory and a Numerical Approach. J. Fluid Mech., 163, 257-282. · Zbl 0592.76063
[4] Hall, P., Malik, M.R., and Poll, D.I.A. (1984) On the Stability of an Infinite Swept Attachment Line Boundary Layer. Proc. Roy. Soc. London Ser. A, 395, 229-245. · Zbl 0579.76038
[5] Lyell, M.J. (1990) A Representation for the Temperature Field Near the Stagnation Region in Oblique Stagnation Flow. Phys. Fluids A, 2(3), 456-458.
[6] Lyell, M.J., and Huerre, P. (1985) Linear and Nonlinear Stability of Plane Stagnation Flow. J. Fluid Mech., 161, 295-312. · Zbl 0585.76048
[7] Spalart, P.R. (1989) Direct Numerical Study of Leading-Edge Contamination. AGARD Conf. Proc., No. 438, 5.1-5.13.
[8] Stuart, J.T. (1959) The Viscous Flow Near a Stagnation Point when the External Flow has Uniform Vorticity. J. Aero/Space Sci., 26, 124-125. · Zbl 0086.19903
[9] Tamada, K. (1979) Two-Dimensional Stagnation-Point Flow Impinging Obliquely on a Plane Wall. J. Phys. Soc. Japan, 46, 310-311.
[10] Wilson, S.D.R. and Gladwell, I. (1978) The Stability of a Two-Dimensional Stagnation Flow to Three-Dimensional Disturbances. J. Fluid Mech., 84, 517-527. · Zbl 0369.76039
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