Research PaperNo Access

Computational analysis on free vortex flow with suspension of solid particles

Khalid K. Ali

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

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K. R. Raslan

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

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H. A. Baghdady

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

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, and

M. Khosravi

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

Islamic Azad University, Science and Research Branch, Tehran, Iran

E-mail Address: mr.khosravi2222@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0129183123500183Cited by:1 (Source: Crossref)

Abstract

In this research, the rotation of a solid particle in a vortex flow is investigated computationally. The bvp4c MATLAB scheme is employed for mathematical modeling and physical analysis. After solving the governing equations, the influences of some physical parameters like initial values of radius, radial velocity and angular velocity as well as the ratio of drag force to inertia force on the velocity and displacement characteristics of the particle will be analyzed. The findings indicate that increasing $r_{0}$ and $ω_{0}$ causes an increase in radial velocity, but increasing $u_{0}$ and $α^{2}$ have conversed treatments. Also, the angular velocity enhances by increasing the ratio of drag-to-inertia forces.

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