Impact of nanoparticle shape on thermo-solutal buoyancy induced lid-driven-cavity with inclined magnetic-field

Ratnadeep Nath ^*, Krishnan Murugesan

Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee-247 667, India

Abstract: The aim of this paper is to numerically investigate the influence of nanoparticles shape on heat and mass transport phenomena in a moving lid cavity under the combined effect of thermo-solutal buoyancy force and magnetic force. The governing equations are transformed into velocity-vorticity form of equations and solved using Galerkin’s weighted residual finite-element-technique. The analysis has been carried out with parameters like buoyancy ratio         (‒5≤N≤5), magnetic field inclination angle (0≤φ≤90) with four shapes of Al₂O₃ nanoparticle like bricks, blades, platelets and cylinders. The results revealed that the shape factor on Nusselt number is significant depending upon the inclined magnetic field and buoyancy ratio whereas on mass transfer the shape effect is negligible. The diffusion mode of transport process is stronger than the convection mode at higher inclination angle of magnetic field. Based on a given value of N and φ, blade and cylinder shows the best performance in Nusselt and Sherwood number respectively except the platelet shape that shows maximum frictional loss in terms of wall shear stress.

Keywords: Velocity-vorticity formulation; Thermo-solutal buoyancy forces; Nanofluid; shapes of nanoparticles; Inclined magnetic field

https://doi.org/10.1016/j.jppr.2022.01.002