Stability of the channel flow of the dusty gas with non-uniform distribution of particle density is considered. Momentum transfer due to both the drag and the lift on the particles is taken into account. The eigenvalue problem for modified Orr-Sommerfeld equation is solved using two approaches: the perturbation theory and direct integration. The dust influence is considerably more than for homogeneously distributed particles. However particles can either stabilize or destabilize Tollmien-Schlichting (T-S) wave depending on the position of maximum of density distribution. The most stabilizing effect takes place for sufficiently sharp distribution with the maximum close to critical layer. The discontinuity of eigenvalue dependence arises because of the resonant acceleration of the particles in the critical layer. It may take place for both stable and unstable T-S wave.
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