Mahjabin, S. (2019) Finite Element Analysis of MHD Free Convective Flow of Nano Fluid in a Square Cavity Containing a Heated Cone of Different Orientation. M. Phil. Thesis, Department of Mathematics, Bangladesh University of Engineering and Technology.

has been cited by the following article:

• TITLE: Numerical Investigation of Free Convection of MHD-Nanofluid in a Square Cavity with a Heated Cone

  AUTHORS: Saika Mahjabin, Md. Abdul Alim

  KEYWORDS: Free Convection, MHD, Nano Fluid, Hartmann Number, Square Cavity, Heated Cone

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.15 No.2, June 30, 2025

  ABSTRACT: Free convection of Magnetohydrodynamic (MHD) fluid, seeded with nanoparticles, in a square cavity with a heated cone inside, has been investigated numerically in this work. The mathematical model is developed by combining the mass, momentum and energy equations. The system of equations is solved by finite element method. Calculations are performed for different values of the dimensionless parameters: Prandtl number (Pr), Rayleigh number (Ra), Hartmann number (Ha) and the volume fraction of the nanoparticle (φ). The results are illustrated with streamlines, velocity profiles, isotherms, local and average Nusselt number (Nu), and heat flux. It is found that, the volume fraction of nanoparticle (φ) is the most important parameter affecting the entire convection process. Adding nanoparticles significantly slows down the fluid velocity, but enhances the heat transfer. The effect of varying φ, surpasses the effects of all other governing parameters with regards to heat transfer.