Abstract
A composite system of equations for calculating the stability of a compressible flow in a three-dimensional boundary layer is developed. A comparison with the calculations in accordance with the complete system of equations shows that the system proposed almost accurately predicts the growth rates of both the Tollmien-Schlichting mode and the transverse flow instability mode over a wide range of frequencies and transverse wavenumbers at moderate Mach numbers. At the same time, the computation time reduces by an order.
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