Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction

Waheed Abdelwahab Ahmed; Edward Richard Onyango; David Theuri; Faiz Awad

doi:doi:10.11648/j.nano.20241202.12

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Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction

Waheed Abdelwahab Ahmed, Edward Richard Onyango^*

, David Theuri, Faiz Awad

Published in American Journal of Nano Research and Applications (Volume 12, Issue 2)

Received: 18 November 2024 Accepted: 2 December 2024 Published: 23 December 2024

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Abstract

The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.

Published in	American Journal of Nano Research and Applications (Volume 12, Issue 2)
DOI	10.11648/j.nano.20241202.12
Page(s)	29-44
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), 2024. Published by Science Publishing Group

Keywords

Variable Magnetic Field, Variable Viscosity, Spectral Method, Joule Heating, Permeability, Chemical Reaction

References

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APA Style

Ahmed, W. A., Onyango, E. R., Theuri, D., Awad, F. (2024). Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. American Journal of Nano Research and Applications, 12(2), 29-44. https://doi.org/10.11648/j.nano.20241202.12

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ACS Style

Ahmed, W. A.; Onyango, E. R.; Theuri, D.; Awad, F. Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. Am. J. Nano Res. Appl. 2024, 12(2), 29-44. doi: 10.11648/j.nano.20241202.12

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AMA Style

Ahmed WA, Onyango ER, Theuri D, Awad F. Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. Am J Nano Res Appl. 2024;12(2):29-44. doi: 10.11648/j.nano.20241202.12

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@article{10.11648/j.nano.20241202.12,
  author = {Waheed Abdelwahab Ahmed and Edward Richard Onyango and David Theuri and Faiz Awad},
  title = {Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction},
  journal = {American Journal of Nano Research and Applications},
  volume = {12},
  number = {2},
  pages = {29-44},
  doi = {10.11648/j.nano.20241202.12},
  url = {https://doi.org/10.11648/j.nano.20241202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.nano.20241202.12},
  abstract = {The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.},
 year = {2024}
}

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TY  - JOUR
T1  - Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction
AU  - Waheed Abdelwahab Ahmed
AU  - Edward Richard Onyango
AU  - David Theuri
AU  - Faiz Awad
Y1  - 2024/12/23
PY  - 2024
N1  - https://doi.org/10.11648/j.nano.20241202.12
DO  - 10.11648/j.nano.20241202.12
T2  - American Journal of Nano Research and Applications
JF  - American Journal of Nano Research and Applications
JO  - American Journal of Nano Research and Applications
SP  - 29
EP  - 44
PB  - Science Publishing Group
SN  - 2575-3738
UR  - https://doi.org/10.11648/j.nano.20241202.12
AB  - The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.
VL  - 12
IS  - 2
ER  -

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Author Information

Waheed Abdelwahab Ahmed

Department of Mathematics, Pan African University Institute for Basic Sciences, Technology and Innovation, Juja, Kenya; Department of Mathematics, Faculty of Mathematical and Computer Sciences, University of Gezira, WadMadni, Sudan

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Edward Richard Onyango

Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya

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http://orcid.org/0000-0002-5315-9918
David Theuri

Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya

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Faiz Awad

Department of Mathematics, Omdurman Islamic University, Omdurman, Sudan

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APA Style

Ahmed, W. A., Onyango, E. R., Theuri, D., Awad, F. (2024). Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. American Journal of Nano Research and Applications, 12(2), 29-44. https://doi.org/10.11648/j.nano.20241202.12

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ACS Style

Ahmed, W. A.; Onyango, E. R.; Theuri, D.; Awad, F. Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. Am. J. Nano Res. Appl. 2024, 12(2), 29-44. doi: 10.11648/j.nano.20241202.12

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AMA Style

Ahmed WA, Onyango ER, Theuri D, Awad F. Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction. Am J Nano Res Appl. 2024;12(2):29-44. doi: 10.11648/j.nano.20241202.12

Copy | Download

@article{10.11648/j.nano.20241202.12,
  author = {Waheed Abdelwahab Ahmed and Edward Richard Onyango and David Theuri and Faiz Awad},
  title = {Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction},
  journal = {American Journal of Nano Research and Applications},
  volume = {12},
  number = {2},
  pages = {29-44},
  doi = {10.11648/j.nano.20241202.12},
  url = {https://doi.org/10.11648/j.nano.20241202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.nano.20241202.12},
  abstract = {The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.},
 year = {2024}
}

Copy | Download

TY  - JOUR
T1  - Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction
AU  - Waheed Abdelwahab Ahmed
AU  - Edward Richard Onyango
AU  - David Theuri
AU  - Faiz Awad
Y1  - 2024/12/23
PY  - 2024
N1  - https://doi.org/10.11648/j.nano.20241202.12
DO  - 10.11648/j.nano.20241202.12
T2  - American Journal of Nano Research and Applications
JF  - American Journal of Nano Research and Applications
JO  - American Journal of Nano Research and Applications
SP  - 29
EP  - 44
PB  - Science Publishing Group
SN  - 2575-3738
UR  - https://doi.org/10.11648/j.nano.20241202.12
AB  - The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.
VL  - 12
IS  - 2
ER  -

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