The displacement-interacting boundary layer in the symmetry plane region of a flat hypersonic delta wing is studied through a method of control volume balances for mass, momentum, and energy. Free-parameter-bearing expressions for the velocity components, density, and boundary-layer thickness are postulated and substituted into the integral balance equations. The resulting algebraic system for the free parameters is a very complicated one, but solutions are readily extracted by means of iterative machine computations. Answers for the assumed set of flight conditions indicate that the inboard drift of boundary-layer fluid from both sides gives rise to a center-plane region which is three-dimensional in character and which exhibits increased boundary-layer thickness, elevated pressures, and reduced skin-friction and heat-transfer coefficients.
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A Three-Dimensional Hypersonic Viscous Interaction
F. X. Hurley
McDonnell Douglas Research Laboratories, McDonnell Douglas Corporation, St. Louis, Mo.
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Hurley, F. X. (June 1, 1970). "A Three-Dimensional Hypersonic Viscous Interaction." ASME. J. Appl. Mech. June 1970; 37(2): 467–474. https://doi.org/10.1115/1.3408529
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