Nonlinear instability of hypersonic flow over a cone

This study investigates the nonlinear stability of hypersonicviscous flow over a sharp slender cone. The attached shock andthe effects of curvature are taken into account. Asymptoticmethods are used for large Reynolds number and large Mach numberto examine the viscous modes of instability, which may be describedby a triple-deck structure. A weakly nonlinear analysis is carriedout allowing an equation for the amplitude of disturbances tobe derived. The coefficients of the terms in the amplitude equationare evaluated for axisymmetric and non-axisymmetric disturbances.Thus, the effects of the shock and curvature on the nonlinearstability of the flow may be deduced.