A numerical study of the ferromagnetic flow of Carreau nanofluid over a wedge, plate and stagnation point with a magnetic dipole

H. Thameem Basha; R. Sivaraj; A. Subramanyam Reddy; Ali J. Chamkha; H. M. Baskonus; H. Thameem Basha; R. Sivaraj; A. Subramanyam Reddy; Ali J. Chamkha; H. M. Baskonus

doi:10.3934/math.2020268

AIMS Mathematics

2020, Volume 5, Issue 5: 4197-4219. doi: 10.3934/math.2020268

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A numerical study of the ferromagnetic flow of Carreau nanofluid over a wedge, plate and stagnation point with a magnetic dipole

1.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
2.
Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia
3.
Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa,Turkey

Received: 18 December 2019 Accepted: 10 April 2020 Published: 05 May 2020
MSC : 76A05, 76R05

Present communication mainly addresses the fluid transport characteristics of ferromagnetic Carreau nanofluid over a porous wedge, plate, and stagnation point with magnetic dipole effect for shear thinning/shear thickening cases. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations which are solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. To check the accuracy of the present model, numerical results for various thermophoretic values for the cases of shear thinning/shear thickening, have been compared with the results obtained by using bvp4c (MATLAB) which divulges good agreement. Influence of active parameters like ferromagnetic-hydrodynamic interaction, thermophoretic, dimensionless distance, Brownian diffusion, suction/injection, Weissenberg number are graphically presented. Computed results manifest that shear thinning and shear thickening fluids express the opposite nature in fluid velocity and temperature for higher values of Weissenberg number. Among the wedge, plate and stagnation point of the plate, the magnitude of heat transfer over the plate is significant for increasing Ferromagnetic-hydrodynamic interaction parameter. Furthermore, it is noticed that higher values of suction/injection parameter decline the fluid temperature over a plate, wedge and stagnation point of a flat plate.
- magnetic dipole,
- ferromagnetic flow,
- forced convection,
- Carreau nanofluid,
- suction/injection,
- wedge/plate/stagnation point
Citation: H. Thameem Basha, R. Sivaraj, A. Subramanyam Reddy, Ali J. Chamkha, H. M. Baskonus. A numerical study of the ferromagnetic flow of Carreau nanofluid over a wedge, plate and stagnation point with a magnetic dipole[J]. AIMS Mathematics, 2020, 5(5): 4197-4219. doi: 10.3934/math.2020268

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Abstract

Present communication mainly addresses the fluid transport characteristics of ferromagnetic Carreau nanofluid over a porous wedge, plate, and stagnation point with magnetic dipole effect for shear thinning/shear thickening cases. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations which are solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. To check the accuracy of the present model, numerical results for various thermophoretic values for the cases of shear thinning/shear thickening, have been compared with the results obtained by using bvp4c (MATLAB) which divulges good agreement. Influence of active parameters like ferromagnetic-hydrodynamic interaction, thermophoretic, dimensionless distance, Brownian diffusion, suction/injection, Weissenberg number are graphically presented. Computed results manifest that shear thinning and shear thickening fluids express the opposite nature in fluid velocity and temperature for higher values of Weissenberg number. Among the wedge, plate and stagnation point of the plate, the magnitude of heat transfer over the plate is significant for increasing Ferromagnetic-hydrodynamic interaction parameter. Furthermore, it is noticed that higher values of suction/injection parameter decline the fluid temperature over a plate, wedge and stagnation point of a flat plate.

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