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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 387Stagnation Point Flow with Heat Transfer and...

Stagnation Point Flow with Heat Transfer and Temporal Stability of Ferrofluid Past a Permeable Stretching/Shrinking Sheet

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Abstract:

In this paper, the hydromagnetic stagnation point flow and temporal stability of Fe₃O₄-water ferrofluid over a convectively heated permeable stretching/shrinking sheet is theoretically investigated. The model equations of momentum and energy balance are obtained and transformed into ordinary differential equations using appropriate similarity variable. Using shooting method together with Runge-Kutta-Fehlberg numerical scheme the model nonlinear boundary value problem is tackled numerically. Pertinent results with respect to the basic steady flow velocity, temperature, skin friction and Nusselt number are obtained graphically and in tabular form. It is found that a critical value of shrinking parameter (λ_c) exists below which no real solution can be found. In addition, dual solutions (upper and lower branch) are observed for a range of shrinking/stretching parameter (λ_c<λ< 1), while for the stretching case (λ 1), the solution is unique. The obtained steady state solutions are examined for temporal development of small disturbances. The smallest eigenvalues reveal that the upper solution branch is stable and physically reliable while the lower solution branch is unstable and unrealistic. Both suction and magnetic field widen the range of the shrinking parameter for which the solution exists and boost the flow stability while nanoparticles volume fraction lessens it.

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Periodical:

Defect and Diffusion Forum (Volume 387)

Pages:

510-522

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.387.510

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Online since:

September 2018

Authors:

Oluwole Daniel Makinde*

Keywords:

Convective Heating, Dual Solutions, Fe₃O₄/ Water Ferrofluid, Magnetic Field, Shrinking Sheet, Stretching Sheet, Suction/Injection, Temporal Stability Analysis

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