4.7 Article

Effects of Magnetic Fields, Coupled Stefan Blowing and Thermodiffusion on Ferrofluid Transport Phenomena

Journal

MATHEMATICS
Volume 10, Issue 10, Pages -

Publisher

MDPI
DOI: 10.3390/math10101646

Keywords

ferrofluidslip effect; Stefan blowing; thermodiffusion

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Funding

  1. Universiti Kebangsaan Malaysia [GUP-2019034]
  2. Malaysia Ministry of Education [FRGS/1/2020/STG06/UNIMAP/02/4]

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This article conducts a numerical study on the boundary layer flow of ferrofluid, including Stefan blowing, velocity and thermal slip, and Soret effects in the stagnation region over a stretching/shrinking surface. The governing equations were solved using the bvp4c function in MATLAB. The results show that a stronger magnetic field is required to identify the numerical solutions past the shrinking surface, and the Stefan blowing reduces the availability of solutions. Stability analysis confirms that only one solution is reliable and stable for certain values of the shrinking parameter.
The paramagnetic feature of ferrofluid allows it to be utilised in electronic devices and improvise fluid circulation in transformer windings. Hence, the present article aims to conduct the numerical study of ferrofluid boundary layer flow along with the Stefan blowing, velocity and thermal slip, and Soret effects within the stagnation region over a stretching/shrinking surface. The governing equations were solved numerically using the bvp4c function in the MATLAB computing package. Based on the results, a stronger magnetic field of ferrofluid was needed to identify the numerical solutions past the shrinking surface, while the Stefan blowing diminished the solution's availability. More than one solution is acquired for some specific values of the shrinking parameter, and the stability analysis validated that only one solution is reliable and stable.

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