Finite element analysis of water-based Ferrofluid flow in a partially heated triangular cavity

Abstract

Purpose

This study aims to deal with the numerical investigation of ferrofluid flow and heat transfer inside a right-angle triangular cavity in the presence of a magnetic field. The vertical wall is partially heated, whereas other walls are kept cold. The effects of thermal radiation are included in the analysis. The governing equations including continuity, momentum and energy equations are converted to nondimensional form using viable variables.

Design/methodology/approach

Finite element method (FEM)-based simulations are performed using finite element approach to investigate the effects of the volume fraction of ferroparticles (Fe₃O₄), the length of the heating element and the dimensionless numbers including Rayleigh and Hartmann numbers on the streamlines, isotherms and Nusselt number.

Findings

It is demonstrated that both horizontal and vertical velocity components increase with the length of the heating element, whereas the dimensionless temperature decreases the heating domain. It is observed that an increase of 10% in the volume fraction of ferroparticles increases Nusselt number more than 12%, and 20% increase in the volume fraction of ferroparticles increases more than 30%, depending upon the length of the heating element.

Originality/value

This is a new study showing the significance of the magnetic nanoparticles for the enhancement of heat transfer rate in a triangular cavity.

Citation

Usman, M., Hamid, M., Khan, Z.H., Ul Haq, R. and Khan, W.A. (2021), "Finite element analysis of water-based Ferrofluid flow in a partially heated triangular cavity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 10, pp. 3132-3147. https://doi.org/10.1108/HFF-12-2019-0930