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A numerical study on unsteady natural/mixed convection in a cavity with fixed and moving rigid bodies using the ISPH method

Minh Tuan Nguyen (Yonsei Cardiovascular Center, Yonsei University, Seoul, South Korea)
Abdelraheem M. Aly (Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt and Department of Mathematics, Faculty of science for Girls. Abha, King Khalid University, Saudia Arabia)
Sang-Wook Lee (School of Mechanical Engineering, University of Ulsan, Ulsan, South Korea)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 March 2018

261

Abstract

Purpose

This paper aims to conduct numerical simulations of unsteady natural/mixed convection in a cavity with fixed and moving rigid bodies and different boundary conditions using the incompressible smoothed particle hydrodynamics (ISPH) method.

Design/methodology/approach

In the ISPH method, the pressure evaluation is stabilized by including both of divergence of velocity and density invariance in solving pressure Poisson equation. The authors prevented the particles anisotropic distributions by using the shifting technique.

Findings

The proposed ISPH method exhibited good performance in natural/mixed convection in a cavity with fixed, moving and free-falling rigid body. In natural convection, the authors investigated the effects of an inner sloshing baffle as well as fixed and moving circular cylinders on the heat transfer and fluid flow. The heated baffle has higher effects on the heat transfer rate compared to a cooled baffle. In the mixed convection, a free-falling circular cylinder over a free surface cavity and heat transfer in the presence of a circular cylinder in a lid-driven cavity are simulated. Fixed or moving rigid body in a cavity results in considerable effects on the heat transfer rate and fluid flow.

Originality/value

The authors conducted numerical simulations of unsteady natural/mixed convection in a cavity with fixed and moving rigid bodies and different boundary conditions using the ISPH method.

Keywords

Acknowledgements

This work is supported by the University of Ulsan, Korea. The first author would like to express his gratitude to King Khalid University, Saudi Arabia for providing administrative and technical support.

Citation

Nguyen, M.T., Aly, A.M. and Lee, S.-W. (2018), "A numerical study on unsteady natural/mixed convection in a cavity with fixed and moving rigid bodies using the ISPH method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 3, pp. 684-703. https://doi.org/10.1108/HFF-02-2017-0058

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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