Abstract
The linear stability of Jeffery-Garnet inflow profiles is investigated on the basis of quasi-parallel theory. It is found that the critical Reynolds number R c increases monotonically as the shear stress at the wall τ w increases and even a very small angle between the walls of a channel has a remarkable stabilizing effect. The critical phase velocity c c reaches an asymptotic value of 0.1844 as τ w →∞. Comparison of neutral stability curves from the Jeffery-Hamel flow and the two dimensional inlet flow is also discussed. Two kinds of approximations are made to asymptotic viscous solutions of the Orr-Sommerfeld equation, and the stability characteristics based on these approximations are compared with an exact solution obtained by using the step-by-step integrating procedure.
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