Unsteady Rotational Motion of a Slip Spherical Particle in a Viscous Fluid | Zendy

E. A. Ashmawy | Zendy

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Unsteady Rotational Motion of a Slip Spherical Particle in a Viscous Fluid

Author(s) -

E. A. Ashmawy

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/513717

Subject(s) - mechanics , classical mechanics , slip (aerodynamics) , physics , rotation around a fixed axis , angular velocity , compressibility , laplace transform , viscous liquid , stokes flow , boundary value problem , torque , herschel–bulkley fluid , cylinder , fluid dynamics , flow (mathematics) , mathematics , mathematical analysis , geometry , thermodynamics , quantum mechanics

The unsteady rotational motion of a slip spherical particle with a nonuniform angular velocity in an incompressible viscous fluid flow is discussed. The technique of Laplace transform is used. The slip boundary condition is applied at the surface of the sphere. A general formula for the resultant torque acting on the surface of the sphere is deduced. Special fluid flows are considered and their results are represented graphically.

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