Simulations for MHD mixed convection in a partially heated lid-driven chamfered enclosure

被引:4
作者
Akram, Bisma [1 ]
Ullah, Naeem [1 ,2 ]
Nadeem, Sohail [1 ,3 ]
Eldin, Sayed M. M. [4 ]
机构
[1] Quaid I Azam Univ Islamabad, Dept Math, Islamabad, Pakistan
[2] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Peoples R China
[3] Wenzhou Univ, Dept Math, Wenzhou, Zhejiang, Peoples R China
[4] Future Univ Egypt, Fac Engn, Ctr Res, New Cairo, Egypt
关键词
Chamfered enclosure; inclined magnetic forces; mixed convection; penalty function approach; NATURAL-CONVECTION; MAGNETIC-FIELD; SQUARE CAVITY; POROUS ENCLOSURE; PENALTY METHOD; UNIFORM;
D O I
10.1080/10407782.2023.2242581
中图分类号
O414.1 [热力学];
学科分类号
摘要
This study investigates the hydrodynamic convective heat transport mechanism in a chamfered square-shaped cavity filled with water. The upper edge of the cavity is presumed to be at low temperature and moving with constant speed. The mean position of the lower boundary is at higher temperature. The chamfered parts and the remaining edges of the enclosure are thermally isolated and fixed. The flow situation and heat distribution experience variations in response to different magnetic field orientations. This physical configuration exhibits mathematical translation via partial differential equations, which are solved numerically using the Galerkin finite element technique. The findings after simulation are visualized through contour plots and line graphs. The primary goal of this research is to examine the effects of Grashof number, Reynolds number, magnetic field strength, and inclination angle on the flow field and temperature distribution. Our findings provide valuable insights into the mechanisms of mixed convection and heat transfer in chamfered square-shaped cavities under the influence of magnetic fields. It is noted that magnitude of Nusselt number versus Reynolds number decrease from 17.5 to 9.5 as Hartmann number increases from 0 to 80. The enhancement in Nusselt number magnitude from 15.5 upto 23.5 is aloso observed when Reynolds number rises from 50 upto 150.
引用
收藏
页码:3821 / 3841
页数:21
相关论文
共 36 条
[1]  
Adam Aigo M., 2016, IJAMR, V5, P63, DOI [10.14419/ijamr.v5i1.5616, DOI 10.14419/IJAMR.V5I1.5616]
[2]   The effect of a magnetic field on natural convection in a shallow cavity heated from below [J].
Alchaar, S ;
Vasseur, P ;
Bilgen, E .
CHEMICAL ENGINEERING COMMUNICATIONS, 1995, 134 :195-209
[3]   The optimum computational simulation of MHD natural convection for improved cooling efficiency and entropy performance inside Μ-shaped cabinet [J].
Azzawi, Itimad D. J. ;
Al-Damook, Amer .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2024, 85 (10) :1633-1652
[4]   Analysis of mixed convection flows within a square cavity with uniform and non-uniform heating of bottom wall [J].
Basak, Tanmay ;
Roy, S. ;
Sharma, Pawan Kumar ;
Pop, I. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2009, 48 (05) :891-912
[5]   Numerical analysis of magnetic hybrid Nano-fluid natural convective flow in an adjusted porous trapezoidal enclosure [J].
Chabani, I. ;
Mebarek-Oudina, F. ;
Vaidya, H. ;
Ismail, A. I. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2022, 564
[6]   Magneto-convection in an anisotropic porous cavity due to nonuniform heat flux at bottom wall [J].
Chandra, Harish ;
Bera, P. .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2023, 84 (01) :1-15
[7]   Effects of cavity inclination on mixed convection heat transfer in lid-driven cavity flows [J].
Cheng, T. S. ;
Liu, W. -H. .
COMPUTERS & FLUIDS, 2014, 100 :108-122
[8]   Characteristics of mixed convection heat transfer in a lid-driven square cavity with various Richardson and Prandtl numbers [J].
Cheng, T. S. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2011, 50 (02) :197-205
[9]  
CHINPORNCHAROENPONG C, 1993, ELS SER THERM FLUID, P815
[10]   AN ITERATIVE PENALTY METHOD FOR THE FINITE-ELEMENT SOLUTION OF THE STATIONARY NAVIER-STOKES EQUATIONS [J].
CODINA, R .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 110 (3-4) :237-262