Effect of Hartmann number on magneto-convection in a lid driven square cavity with wavy side wall

• Main Authors: Alam, Md. Shahidul, Mollah, Md. Shirazul Hoque, Alim, Md. Abdul, Uddin, Md Nasir
• Format: Conference Proceeding
• Language: English
• Subjects: Adiabatic flow; Computational fluid dynamics; Convection; Enclosure; Finite element method; Fluid flow; Galerkin method; Hartmann number; Isotherms; Magnetism; Nusselt number; Ohmic dissipation; Parameters; Partial differential equations; Prandtl number; Rayleigh number; Reynolds number; Viscosity
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/1.5044349

In the present study the effect of Hartmann number on magneto-convection in a lid driven square cavity with wavy side Wall is studied. The horizontal bottom and top walls are adiabatic. The left and right vertical walls are temperature Th and Tc respectively with Th > Tc. The governing equations along with appropriate boundary conditions for the present problem are first transformed into a non-dimensional form and the resulting non linear system of partial differential equations are then solved numerically using Galerkin’s finite element method. Parametric studies of the fluid flow and heat transfer in the enclosure are performed for magnetic parameter Hartmann number Ha, Joule heating J, Reynolds number Re, Prandtl number Pr and Rayleigh number Ra. The streamlines, isotherms, average Nusselt number at the hot wall and average temperature of the fluid in the enclosure are presented for the parameters. The numerical results indicate that the Hartmann number Rayleigh number and Reynolds number have strong influence on t he streamlines and isotherms. On the other hand, Joule heating parameter and Prandtl has little effect on the stream line and isotherm plots. Finally, the mentioned parameters have significant effect on average Nusselt number at the hot wall and average temperature of the fluid in the enclosure.