Abstract

Stokes’ second problem for a dusty second-grade gas, assumed incompressible, is considered. Exact solutions for both the gas and dust phases are determined and examined. In addition, low- and high-frequency asymptotic results are presented for the main propagation parameters, limitations imposed by the continuum assumption are determined, and special cases of the coefficients are noted. Finally, Stokes’ first problem for a dusty second-grade gas is briefly considered and we then apply our findings to an issue regarding dipolar fluids.

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