Flow Due To An Oscillatory Point-Source In A Rotating Compressible Fluid
Abbreviated Journal Title
A linearised calculation of the motion induced by an oscillatory point source in a rotating compressible, inviscid fluid is given. The equations governing the flow are elliptic or hyperbolic according as the frequency of oscillation of the source is greater or less than the frequency of rotation of the fluid. The solutions in both cases are obtained in closed form using the Fourier-transform method and imposing Lighthill's radiation condition (in the hyperbolic case). In the elliptic case, it is found that the disturbance in the flow is continous everywhere, but is non-wavy in nature and due to the compressibility effects decays exponentially away from the source. In the hyperbolic case, a cone with vertex at the source and axis along the axis of rotation becomes a surface of discontinuity. The solution inside the cone resembles that of the elliptic case, but outside the cone the solution represents a wave originating from the source and propagating to infinity. These waves are not present in an incompressible fluid.
Shivamoggi, B. K., "Flow Due To An Oscillatory Point-Source In A Rotating Compressible Fluid" (1986). Faculty Bibliography 1980s. 543.