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The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer

Magnetohydrodynamic Nanofluid flow (Silver-water) through a converging-diverging channel under a strong magnetic field has been investigated. The induction equation is derived from electromagnetism. The non-linear partial differential equations are reduced to first-order non-linear ordinary differential equations using the similarity transformation and dimensionless numbers. The implicit Runge - Kutta fourth-order method via the bvp4c function in MATLAB has been used to generate the graphs of the fluid flow. It was observed that the high value of the Schmidt number leads to an increase in the velocity of the Nanofluid flow. The variation of the Schmidt number leads to a decrease in the temperature profile of the Nanofluid flow in the stretching channel and leads to an increase in the shrinking channel. The higher value of the Schmidt number leads to higher values in the concentration of the Nanofluid flow. Increasing the values of the Schmidt number leads to an augment in the magnetic induction of the Nanofluid flow for the divergent channel and a decrease is observed for a case of the convergent channel. Variation of the nanoparticle volume fraction increases the magnetic induction profiles of the Nanofluid flow for a stretching channel, and a decrease is observed for the case of the shrinking channel. The high value in Reynolds magnetic number leads to a high value in the velocity profile of Nanofluid flow. The change in Reynolds magnetic number leads to a high value in the temperature profiles of the Nanofluid flow for the case of a divergent channel and a decrease is observed for the case of a convergent channel. Varying the Reynolds magnetic number leads to a decrease in the magnetic induction profiles of the Nanofluid, this is due to the effectiveness of the relationship between the fluid flow and the magnetic field. Varying the Reynolds magnetic number leads to an augment in the induction profiles of the Nanofluid. This kind of study has a variety of applications such as geophysics, astrophysics, fire engineering, bio-medical, and blood flow through arteries and capillaries in the human body.

Induction Equation, Electromagnetic Equations, Unsteadiness, MHD Nanofluid Flow, Divergent-Convergent Channel

APA Style

Felicien Habiyaremye, Mary Wainaina, Mark Kimathi. (2022). The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer. International Journal of Fluid Mechanics & Thermal Sciences, 8(3), 41-52. https://doi.org/10.11648/j.ijfmts.20220803.11

ACS Style

Felicien Habiyaremye; Mary Wainaina; Mark Kimathi. The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer. Int. J. Fluid Mech. Therm. Sci. 2022, 8(3), 41-52. doi: 10.11648/j.ijfmts.20220803.11

AMA Style

Felicien Habiyaremye, Mary Wainaina, Mark Kimathi. The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer. Int J Fluid Mech Therm Sci. 2022;8(3):41-52. doi: 10.11648/j.ijfmts.20220803.11

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