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Rotational Oscillations of a Porous Spherical Shell in Viscous Fluid

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Viscous fluid flows induced by rotational oscillations of a submerged porous spherical shell are determined. The analytical solutions of the time-dependent Brinkman equation inside the porous shell and the Navier–Stokes… Click to show full abstract

Viscous fluid flows induced by rotational oscillations of a submerged porous spherical shell are determined. The analytical solutions of the time-dependent Brinkman equation inside the porous shell and the Navier–Stokes equation outside the shell are obtained in the Stokes approximation. The moment of the friction forces exerted on the control surface around the porous body is determined. The solutions obtained are analyzed. Various particular cases including the case of uniform shell rotation are considered.

Keywords: oscillations porous; porous spherical; spherical shell; viscous fluid; shell; rotational oscillations

Journal Title: Fluid Dynamics
Year Published: 2020

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