Diffusions of nanoparticles and existence of multiple solutions for MHD Williamson nanofluid with slip mechanism

Articles in Press

Document Type : Article

Authors

1 Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh 12500, Azad Kashmir, Pakistan

2 Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

3 Department of Mathematical Sciences Federal Urdu University of Arts Science and Technology, 44000, Islamabad, Pakistan

10.24200/sci.2024.63355.8353

Abstract

Here the concept of heat transport mechanisms and stagnation point of the MHD Williamson nanofluid have been elaborated with Brownian motion and thermophoresis diffusion past a permeable stretching/shrinking cylinder. Both the conditions of velocity slip and heat source/sink effects are considered. The shooting algorithm with Runge-Kutta-Fehlberg method has been exploited for solutions of ODEs. The effect on drag coefficient, heat and mass transport rates as well as the dimensionless velocity, temperature and concentration fields of the physical boundaries objectives of the study are graphically delineated and thoroughly discussed. As nanoparticle concentration increases at the outer surface of the boundary layer, the rising patterns of Nusselt number as well as skin friction are observed. Dual solutions with the critical value of the mass transfer parameter (0<s_c<s)and the shrinking parameter (χ_c<χ) are obtained for different related parameters in some domains and shrinking parameter. It's worth mentioning that just for the contracting scenario; there are a range of solutions. The slip factor increases the thermal transport amount at the surface of the shrinking cylinder. Here the outcomes noted the average increase of skin friction with respect to γ (curvature) factor to 24.8% with brilliant results compared with former prose.

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Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 18 August 2024

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History

  • Receive Date: 18 October 2023
  • Revise Date: 19 January 2024
  • Accept Date: 18 August 2024

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