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Dynamical analysis of a rotating rigid body containing a viscous incompressible fluid

Ji-Huan He (National Engineering Laboratory for Modern Silk, Soochow University, Suzhou, China)
T.S. Amer (Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt)
W.S. Amer (Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Egypt)
H.F. Elkafly (Tanta Higher Institute of Engineering and Technology, Tanta, Egypt)
A.A. Galal (Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 19 May 2023

Issue publication date: 22 June 2023

90

Abstract

Purpose

The purpose of this paper is to study the dynamical properties of a rotating rigid body (RB) containing a viscous incompressible fluid.

Design/methodology/approach

The Reynolds number is assumed to be small so that the governing equations can be easily obtained, and the asymptotic technique is used to solve the problem.

Findings

The effects of the various body parameter values on the motion’s behavior are theoretically elucidated, which can be used for optimization of the charged RB.

Originality/value

This paper finds the missing piece of the puzzle when it comes to the rotating RB containing a viscous fluid; it clearly elucidates graphically how the body parameters affect its dynamical properties.

Keywords

Acknowledgements

Corrigendum: It has come to the attention of the publisher that the article “He, J.-H., Amer, T.S., Amer, W.S., Elkafly, H.F. and Galal, A.A. (2023), “Dynamical analysis of a rotating rigid body containing a viscous incompressible fluid”, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 8, pp. 2800-2814. https://doi.org/10.1108/HFF-01-2023-0018”, displays a reference incorrectly. This error was introduced during the submission process. ‘Galal, A.A. (2022), “Free rotation of a rigid mass carrying a rotor with an internal torque”, Journal of Vibration Engineering and Technologies.’ has been corrected to ‘Galal, A.A. Free Rotation of a Rigid Mass Carrying a Rotor with an Internal Torque. J. Vib. Eng. Technol., 11, 3627-3637 (2023). https://doi.org/10.1007/s42417-022-00772-w’. The authors sincerely apologise for this error and for any misunderstanding.

Competing interests: The authors declare that they do not have any competing interests.

Citation

He, J.-H., Amer, T.S., Amer, W.S., Elkafly, H.F. and Galal, A.A. (2023), "Dynamical analysis of a rotating rigid body containing a viscous incompressible fluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 8, pp. 2800-2814. https://doi.org/10.1108/HFF-01-2023-0018

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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