Motion of a spherical particle in a fluid forced vortex by DQM and DTM--颗粒学报PARTICUOLOGY

Hatami, M., & Ganji, D. D. (2014). Motion of a spherical particle in a fluid forced vortex by DQM and DTM. Particuology, 16, 206–212. https://doi.org/10.1016/j.partic.2014.01.001

Motion of a spherical particle in a fluid forced vortex by DQM and DTM

M. Hatami ^{a b *}, D.D. Ganji ^b

a Esfarayen University, Department of Mechanical Engineering, Esfarayen, North Khorasan, Iran
b Mechanical Engineering Faculty, Babol University of Technology, Babol, P.O. Box 484, Iran

10.1016/j.partic.2014.01.001

Volume 16, October 2014, Pages 206-212

Received 17 July 2013, Revised 29 November 2013, Accepted 8 January 2014, Available online 16 March 2014.

E-mail: m.hatami2010@gmail.com

Highlights

• DTM-Padé and DQM methods were used to solve equations of motion of a particle in a forced vortex.

• The analytical results were in good agreement with numerical results.

• Radial position, angular velocity and radial velocity of the particle were depicted.

Abstract

In this study, coupled equations of the motion of a particle in a fluid forced vortex were investigated using the differential transformation method (DTM) with the Padé approximation and the differential quadrature method (DQM). The significant contribution of the work is the introduction of two new, fast and efficient solutions for a spherical particle in a forced vortex that are improvements over the previous numerical results in the literature. These methods represent approximations with a high degree of accuracy and minimal computational effort for studying the particle motion in a fluid forced vortex. In addition, the velocity profiles (angular and radial) and the position trajectory of a particle in a fluid forced vortex are described in the current study.

Graphical abstract

Keywords

Spherical particleForced vortex; Differential transformation method (DTM); Angular velocity; Differential quadrature method (DQM)

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