Properties of a Time‐Dependent Nonlinear Viscous Critical Layer

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Abstract
The time‐dependent, nonlinear, viscous critical‐layer problem posed by Gajjar and Smith is studied analytically and numerically, for various values of the time‐dependence parameter µ and the viscous parameter γc, to help to complete the understanding of the solution. The analysis concerns the nearly inviscid limit γc → 0 which corresponds to increasing disturbance amplitude, other limits for weaker disturbances having been studied previously. On the numerical side, computational results obtained for order‐1 values of µ, γc are described and are compared with analytical predictions. Particular attention is given to the phase shift produced across the critical layer.