A Stability Analysis For Magnetohydrodynamics Stagnation Point Flow With Zero Nanoparticles Flux Condition And Anisotropic Slip

Khashi'ie, Najiyah Safwa and Md Arifin, Norihan and Wahi, Nadihah and Nazar Mohd, Roslinda and Hafidzuddin, Ezad Hafidz and Pop, Ioan Mihai (2019) A Stability Analysis For Magnetohydrodynamics Stagnation Point Flow With Zero Nanoparticles Flux Condition And Anisotropic Slip. Energies, 12 (7). 01-19. ISSN 1996-1073

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Abstract

The numerical study of nanofluid stagnation point flow coupled with heat and mass transfer on a moving sheet with bi-directional slip velocities is emphasized. A magnetic field is considered normal to the moving sheet. Buongiorno’s model is utilized to assimilate the mixed effects of thermophoresis and Brownian motion due to the nanoparticles. Zero nanoparticles’ flux condition at the surface is employed, which indicates that the nanoparticles’ fraction are passively controlled. This condition makes the model more practical for certain engineering applications. The continuity, momentum, energy and concentration equations are transformed into a set of nonlinear ordinary (similarity) differential equations. Using bvp4c code in MATLAB software, the similarity solutions are graphically demonstrated for considerable parameters such as thermophoresis, Brownian motion and slips on the velocity, nanoparticles volume fraction and temperature profiles. The rate of heat transfer is reduced with the intensification of the anisotropic slip (difference of two-directional slip velocities) and the thermophoresis parameter, while the opposite result is obtained for the mass transfer rate. The study also revealed the existence of non-unique solutions on all the profiles, but, surprisingly, dual solutions exist boundlessly for any positive value of the control parameters. A stability analysis is implemented to assert the reliability and acceptability of the first solution as the physical solution.

Item Type:	Article
Uncontrolled Keywords:	Nanofluid, Slip condition, Stability analysis, Stagnation sheet, Three-dimensional flow
Divisions:	Faculty of Mechanical and Manufacturing Engineering Technology
Depositing User:	Sabariah Ismail
Date Deposited:	28 Oct 2020 11:03
Last Modified:	28 Oct 2020 11:03
URI:	http://eprints.utem.edu.my/id/eprint/24340
Statistic Details:	View Download Statistic

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