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

Felicien Habiyaremye; Mary Wainaina; Mark Kimathi

doi:doi:10.11648/j.ijfmts.20220803.11

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

Felicien Habiyaremye, Mary Wainaina, Mark Kimathi

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 8, Issue 3)

Received: 20 June 2022 Accepted: 6 July 2022 Published: 13 July 2022

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Abstract

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.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 8, Issue 3)
DOI	10.11648/j.ijfmts.20220803.11
Page(s)	41-52
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

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

References

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[21]	Felicien Habiyaremye, Mary Wainaina, Mark Kimathi, the Effect of Heat and Mass Transfer on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel, International Journal of Fluid Mechanics & Thermal Sciences. Volume 8, Issue 1, March 2022, pp. 10-22. doi: 10.11648/j.ijfmts.20220801.12.
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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

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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

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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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@article{10.11648/j.ijfmts.20220803.11,
  author = {Felicien Habiyaremye and Mary Wainaina and Mark Kimathi},
  title = {The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {8},
  number = {3},
  pages = {41-52},
  doi = {10.11648/j.ijfmts.20220803.11},
  url = {https://doi.org/10.11648/j.ijfmts.20220803.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20220803.11},
  abstract = {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.},
 year = {2022}
}

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TY  - JOUR
T1  - The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer
AU  - Felicien Habiyaremye
AU  - Mary Wainaina
AU  - Mark Kimathi
Y1  - 2022/07/13
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20220803.11
DO  - 10.11648/j.ijfmts.20220803.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 41
EP  - 52
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20220803.11
AB  - 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.
VL  - 8
IS  - 3
ER  -

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Author Information

Felicien Habiyaremye

Department of Mathematics and Actuarial Science, Catholic University of Eastern Africa, Nairobi, Kenya
Mary Wainaina

Department of Mathematics and Actuarial Science, Catholic University of Eastern Africa, Nairobi, Kenya
Mark Kimathi

Department of Mathematics, Statistics and Actuarial Science, Machakos University, Machakos, Kenya

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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

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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

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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

Copy | Download

@article{10.11648/j.ijfmts.20220803.11,
  author = {Felicien Habiyaremye and Mary Wainaina and Mark Kimathi},
  title = {The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {8},
  number = {3},
  pages = {41-52},
  doi = {10.11648/j.ijfmts.20220803.11},
  url = {https://doi.org/10.11648/j.ijfmts.20220803.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20220803.11},
  abstract = {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.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - The Effect of Strong Magnetic Field on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel with Heat and Mass Transfer
AU  - Felicien Habiyaremye
AU  - Mary Wainaina
AU  - Mark Kimathi
Y1  - 2022/07/13
PY  - 2022
N1  - https://doi.org/10.11648/j.ijfmts.20220803.11
DO  - 10.11648/j.ijfmts.20220803.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 41
EP  - 52
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20220803.11
AB  - 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.
VL  - 8
IS  - 3
ER  -

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