A METHOD OF SOLVING THE THREE-DIMENSIONAL LAMINAR BOUNDARY-LAYER EQUATIONS WITH APPLICATION TO A LIFTING REENTRY BODY.
BRUSSELS UNIV (BELGIUM) LAB OF PATHOPHYSIOLOGY OF THE NERVOUS SYSTEM
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The general three-dimensional laminar compressible boundary-layer equations, written in terms of streamline coordinates, are reduced to a sequence of two-dimensional equations by means of a systematic perturbation procedure. The perturbation parameter is related to the inviscid streamline curvature and the lowest zeroth-order equations are identical with the small crossflow equations of Hayes. In addition, the equations for the first-order terms are given explicitly both in terms of physical and transformed Lees-Levy variables. Two alternate finite difference methods for physical and transformed variables respectively are developed to solve the zeroth as well as the first-order equations exactly. Local similarity methods are also considered for comparison. A variety of boundary conditions are possible including the case for which the heat and mass-transfer rates are coupled through an energy balance. The methods were applied to the problem of boundary-layer flow on a blunted cone at angle-of-attack. The results show that the crossflow often becomes rather large near the wall. The first-order corrections to the enthalpy and tangential velocity in the boundary layer are nevertheless small. Author
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