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Viscous-elastic dynamics of power-law fluids within an elastic cylinder

Viscous-elastic dynamics of power-law fluids within an elastic cylinder

We theoretically model the interaction of a non-Newtonian liquid with an elastic cylinder. For shear-thinning fluids, a step in pressure results in compactly supported propagation of deformation. This is in contrast to Stokes' problem where such propagation is observed in shear thickening fluids.