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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2016016527
pages 337-354

ON MIXED CONVECTION IN AN INCLINED LID-DRIVEN CAVITY WITH SINUSOIDAL HEATED WALLS USING THE ISPH METHOD

Abdelraheem M. Aly
Department of Mathematics, Faculty of Science, Abha, King Khalid University, Saudi Arabia; Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021
Sang-Wook Lee
School of Mechanical Engineering, University of Ulsan, Ulsan, South Korea
Ali F. Al-Mudhaf
Manufacturing Engineering Department, The Public Authority for Applied Education and Training, P. O. Box 42325, Shuweikh, 70654 Kuwait

ABSTRACT

Simulation of mixed convection in an inclined lid-driven square cavity has been investigated using an incompressible smoothed particle hydrodynamics (ISPH) method. In this study, the boundary conditions on the inclined lid-driven square cavity have been introduced for two different cases of sinusoidal heated and isothermal walls. The governing equations are discretized and solved using the ISPH method. In the ISPH method, the evaluated pressure is stabilized by relaxed density invariance in solving the pressure Poisson equation. The solutions represented in isothermal lines and flow profiles have been studied with different values of Richardson number, phase deviation of sinusoidal heating, and cavity inclination angle. It is found that the shear force induced by lid-movement plays a more dominant role than cavity inclination angle. A set of graphical results is presented and discussed to illustrate the effects of the presence of current parameters on the flow and heat transfer characteristics. The efficiency of the current ISPH method is tested by comparison with reference results.


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