The Impact of Nanoparticles Due to Applied Magnetic Dipole in Micropolar Fluid Flow Using the Finite Element Method

Abstract

The present work examines the effect of different magnetic nanoparticles and the heat transfer phenomena over the stretching sheet with thermal stratification and slips effect. The mixture of water (H 2 O) and ethylene glycol (C 2 H 6 O 2 ) is used as base fluid whereas the paramagnetic, diamagnetic, and ferromagnetic ferrites are taken as nanoparticles. In the presence of ferrite nanoparticles, the magnetic dipole has a significant effect in controlling the rate of heat transfer and the thermal boundary layers. By using suitable similarity transformations, the system of partial differential equations is transformed into nonlinear ordinary differential equations. The numerical solution of resulting equations is found out by using the variational finite element method. The effect of numerous emerging parameters on velocity, temperature, and micro-rotation velocity are represented graphically and analyzed numerically. It has been noticed that comparatively the diamagnetic ferrites have gained maximum thermal conductivity relative to the other nanoparticles. It was also observed that the thermal conduction of nanoparticles increases with the variation of volume fraction. Moreover, with increasing values of thermal stratification the thermal boundary layer thickness decreases and the heat transfer rate increases at the surface. Furthermore, the validation of code and the accuracy of the numerical technique has been confirmed by the assessment of current results with earlier studies.

Significance of solar radiation and magnetic dipole impact on micropolar ferromagnetic fluid flow via an extending surface using finite element approach

“…, here K represents the pyromagnetic coefficient. The previous mentioned set of governing equations namely Equation ( 4)-( 7) with boundary conditions ( 8)-( 9) are transformed into ordinary differential form by below similarity transforms 37,39 :…”

Attribution of Multi-slips and Bioconvection for Micropolar Nanofluids Transpiration Through Porous Medium over an Extending Sheet with PST and PHF Conditions

“…Ali et al [39] investigated the effect of magnetic properties of micropolar based nano-particles due to a magnetic dipole. Liaqat et al [40] studied magnetic dipole in micropolar fluid flow by using finite element method. Karvelas et al [41] explored the impact of micropolar fluid properties on fibrous biomaterial's hydraulic permeability.…”

Radiation and Multiple Slip Effects on Magnetohydrodynamic Bioconvection Flow of Micropolar Based Nanofluid over a Stretching Surface

“…They used Ethylene glycol and water as base fluids with the magnetic dipole. Liaqat and his co-workers [13] analyzed the boundary layer flow of ferrite nanoparticles. They used Paramagnetic, Diamagnetic, and (Ferromagnetic) as ferrites and water and ethylene glycol as a base fluid.…”