Investigations into cavity flows have been conducted for noise/vibration problem created in cavity system. The cavity system has been applied in engineering devices during rapid development of aerospace industry. Cavity on a curved wall has been seldom studied to the author’s best of knowledge. In the present study, the effects of channel shape on the cavity flow field on transonic and supersonic flow is investigated numerically. Time-dependent cavity flow characteristics with oscillating features were examined by using two-dimensional, mass-averaged Navier–Stokes computation based on a finite volume scheme. The results show that pressure loading on the cavity floor is observed to increase with increase in channel curvature for concave channels and decrease for convex channels. Drag in the flow channel increased as channel curvature increased. Unsteady flow characteristics are observed to be more dependent on channel curvature at supersonic free stream velocities.

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