Interaction of an unsteady-state wave with a rigid sphere immersed in a compressible viscous fluid (Q1180855)

The non-stationary interaction of an immovably fixed absolutely rigid sphere immersed in a compressible viscous fluid with a plane unsteady- state longitudinal wave is considered. A Laplace integral transformation is applied to obtain an expression in the transform space for the reaction of the fluid on the sphere. This expression is inverted by analytical and numerical methods. The linearized problems for a compressible viscous fluid considered in this paper produce, in the limit, the standard results for an acoustic medium.