Journal of Computational Applied Mechanics

MHD mixed convection flow of alumina - water nanofluid into a lid-driven cavity with different patterns of wavy sidewalls

Document Type : Research Paper

Authors

1 College of Engineering -Mechanical Engineering Department - University of Babylon - Babylon City, Hilla, Iraq.

2 Center for R&D on Energy Efficiency in Thermo-Fluid Systems, Department of Mechanical Engineering, Thammasat University, Klong Nueng, Klong Lueng, Pathum Thani, Thailand.

3 College of Engineering, Department of Chemical Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia.

4 Research Laboratory of Ionized Backgrounds and Reagents Studies (EMIR), Preparatory Institute for Engineering Studies of Monastir (IPEIM), University of Monastir, Monastir City, Tunisia.

5 Higher School of Sciences and Technology of Hammam Sousse (ESSTHS), Department of Physics, University of Sousse, Sousse City, Tunisia.

6 School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen 518055, China.

7 Petroleum Engineering Department, College of Engineering, University of Kerbala, Kerbala, Iraq.

8 Department of Mathematics, Laxminarayan College, Jharsuguda, Odisha 768202, India.

9 Division of advanced nano material technologies, Scientific Research Center, Al-Ayen University,Thi-Qar, Iraq.

Abstract

This research investigates the numerical analysis of magnetohydrodynamic (MHD) mixed convection flow and heat transfer within a bottom lid-driven cavity filled with water-alumina (Al2O3) nanofluid. The cavity's sidewalls exhibit a wavy profile and are maintained at distinct temperatures. Cavity domain exhibit distinct free and force convections. These wavy walls, characterized by zigzag shapes determined by various wave amplitudes and their ratios (wave form), create a dynamic thermal environment. The top and bottom surfaces remain flat and well-insulated, while forced convection is induced by the drag of the bottom wall from left to right at a constant speed. Additionally, the bottom wall is subjected to a vertical magnetic field. The system of equations is discretized using the finite difference method. The numerical solutions are derived by the Gauss-Seidel iterative method. The study primarily focuses on investigating the effects of key parameters, including the wavy wall geometry, solid volume fraction (0 ≤ φ ≤ 0.0003), Rayleigh number (103≤ Ra ≤105), and Hartmann number (0 ≤ Ha ≤0.6). Numerical solutions are computed across different ranges of these parameters, and the obtained results are successfully validated against previous numerical studies. The findings reveal that higher Hartmann numbers and solid volume fractions lead to lower circulation rates and Nusselt numbers. Convection is markedly enhanced with higher amplitude and its ratios of the wavy sidewalls. The combined two-sinusoidal function with the wave amplitudes of 2.5 and 0.47 of provides the highest mean Nusselt numberof3.204 with the highest dimensionless stream function of 1.638. These results highlight the significant influence of the wave form on both flow and temperature distributions.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 55, Issue 1
January 2024
Pages 92-112
  • Receive Date: 14 December 2023
  • Revise Date: 28 January 2024
  • Accept Date: 28 January 2024