Journal
SYMMETRY-BASEL
Volume 12, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/sym12040520
Keywords
ferromagnetic; magnetic dipole; FEM; slip effect; diamagnetic; paramagnetic
Categories
Funding
- National Natural Science Foundation of China [51676152]
- Equipment Advance Research Field Foundation [61402070302]
- Fundamental Research Funds for the Central Universities [zrzd2017012]
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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 (H2O) and ethylene glycol (C2H6O2) 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.
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