Wave-scattering problems involving moving media should take into account the effect of the boundary layers at the sliding interfaces. A recent paper by Graham and Graham [J. Acoust. Soc. Amer. 46, 169–175 (1969)], although restricted to acoustical waves, is indicative of the difficulties involved. Presently we consider shear waves in moving elastic media, having a viscous (Newtonian) fluid layer separating the sliding interfaces. The mean velocity profile in the viscous medium is prescribed by the solution of the relevant Navier-Stokes equation and is unaffected by the perturbations. For the mean velocity profiles encountered between parallel planes and between concentric cylinders, solutions for shear waves are obtained in terms of Bessel functions. Various limiting cases are investigated.
ASJC Scopus subject areas
- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics