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.
Highlights
The Heat transfer enrichment in the two-phase fluid flow has been inspected for several years.Due to the truncated thermal conductivity of fluids, the foremost heat transfer mechanism between them is deliberated as convection
The scholars have investigated to apprize the potentiality for the ferrofluid applications in the fast-developing fields of micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS), because of small spherical diameter (10 nm) of the perpetually magnetized nanoparticles
A mathematical analysis has been performed to inspect the behavior of different magnetic nanoparticles like paramagnetic (Ta), diamagnetic (Cu), ferromagnetic (Fe) on heat transfer and boundary layer flow through a stretching sheet, water (H2 O) and ethylene glycol (C2 H6 O2 ) are used as base fluid
Summary
The Heat transfer enrichment in the two-phase fluid flow has been inspected for several years. Liaqat et al [19] examined the effect of viscous dissipation and the various sorts of magnetic nano-particles, ferromagnetic and ferrimagnetic, on micropolar fluid flow and heat transfer through the stretching sheet. Liaqat et al [23] explore the influences of multi-slip and solutal boundary conditions on magnetohydrodynamic unsteady bioconvective micropolar nano-fluid restrictive gyrotactic micro-organism, mass and heat transfer impact through a sheet. Sohaib Abdal et al [35] inspected the multislip effects on the magnetohydrodynamics mixed convection unsteady flow of micropolar nanofluid over a stretching/shrinking sheet in the presence of heat source and radiation. This research is to scrutinize the behavior of various ferrite nanoparticles and their thermal conductivity on boundary layer slip flow and the heat transfer phenomena. The numerical estimations of current results are shown in tables with diagrams
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