Analytical Study on Motion of a Spherical Solid Particle in Plane Couette Fluid Flow using DTM-Padé

In this paper, motion of a spherical particle in plane Couette fluid flow is investigated employing Differential Transformation Method (DTM) with Padé approximation. Equations of particle’s motion in Couette flow in horizontal and vertical directions have been considered. The horizontal and vertical velocity profiles for motion of the particle were obtained using DTM-Padé. The precious contribution of the work is introducing a novel efficient solution of analytical method for motion of a spherical particle in plane Couette fluid flow in comparison with the numerical results. It is shown that the Differential Transformation Method (DTM) with Padé approximate give approximations of a high degree of accuracy for studying particle motion in Couette fluid flow.

Keywords:

Spherical particle , Couette flow , Differential Transformation Method , Padé approximation