Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation

Valarie Nyabuti; Phineas Roy Kiogora; Edward Onyango; Eunice Nyawade

doi:doi:10.11648/j.ijfmts.20241001.11

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Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation

Valarie Nyabuti^*, Phineas Roy Kiogora, Edward Onyango, Eunice Nyawade

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 10, Issue 1)

Received: 23 January 2024 Accepted: 2 February 2024 Published: 28 February 2024

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Abstract

Inefficient heat transfer rates have resulted in high energy consumption costs in heat exchanger systems. In this study, unsteady MHD(Magneto-hydrodynamics) Nanofluid flow (Silver-water) through a divergent conduit with chemical reaction and radiation is investigated. The chemical reactions taking place within the Nanofluid are considered to be of first order with the radiation effects being in a steady state. The governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. The resulting system of non-linear ordinary differential equations is then solved using the spectral collocation method and implemented in MATLAB software. The results for velocity, temperature, and concentration profiles are presented graphically and discussed. It was observed that increasing the Reynolds number and Hartmann number led to an increase in the velocity profile. Increasing the Eckert number and Joule heating parameter increased the temperature profile while increasing the radiation parameter led to a decrease in the temperature of the Nanofluid. The concentration of the Nanofluid increased with an increase in the Soret number and Chemical reaction parameter while the concentration decreased with an increase in the Schmidt number. The findings have practical applications in designing and optimizing heat exchangers by maximizing heat transfer thus contributing to the sustainability of geothermal power generation in the energy industry.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 10, Issue 1)
DOI	10.11648/j.ijfmts.20241001.11
Page(s)	1-14
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

MHD, Unsteady, Nanofluid, Divergent Conduit, Chemical Reaction, Radiation

References

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[2]	M. Goharimanesh, E. A. Jannatabadi, M. Dehghani, and S. M. Javadpour, “Geometric and thermo hydrodynamic investigation of a 3d converging-diverging channel by taguchi and anfis methods,” International Communications in Heat and Mass Transfer, vol. 138, p. 106285, 2022.
[3]	E. M. Nyariki, M. N. Kinyanjui, and J. O. Abonyo, “Heat and mass transfers in a two-phase stratified turbulent fluid flow in a geothermal pipe with chemical reaction,” Journal of Applied Mathematics and Physics, vol. 11, no. 2, pp. 484-513, 2023.
[4]	M. Kinyanjui and E. R. Onyango, “Hydromagnetic surface driven flow between two parallel vertical plates in the presence of chemical reaction and induced magnetic field,” Global Journal of Pure and Applied Mathematics, vol. 18, no. 1, pp. 583-612, 2022.
[5]	U. Khan, N. Ahmed, and S. T. Mohyud-Din, “Thermo- diffusion, diffusion-thermo and chemical reaction effects on mhd flow of viscous fluid in divergent and convergent channels,” Chemical Engineering Science, vol. 141, pp. 17-27, 2016.
[6]	N. Ahmed, A. Abbasi, U. Khan, and S. T. Mohyud- Din, “Thermal radiation effects on flow of jeffery fluid in converging and diverging stretchable channels,” Neural Computing and Applications, vol. 30, pp. 2371-2379, 2018.
[7]	S. Arulmozhi, K. Sukkiramathi, S. S. Santra, R. Edwan, U. Fernandez-Gamiz, and S. Noeiaghdam, “Heat and mass transfer analysis of radiative and chemical reactive effects on mhd nanofluid over an infinite moving vertical plate,” Results in Engineering, vol. 14, p. 100394, 2022.
[8]	D. Kumar, “Radiation effect on magnetohydrodynamic flow with induced magnetic field and newtonian heating/cooling: an analytic approach,” Propulsion and Power Research, vol. 10, no. 3, pp. 303-313, 2021.
[9]	V. Ojiambo, M. Kinyanjui, and M. Kimathi, “A study of two-phasejefferyhamel flowinageothermalpipe,” 2018.
[10]	M. Abd El-Aziz, “Radiation effect on the flow and heat transfer over an unsteady stretching sheet,” International Communications in Heat and Mass Transfer, vol. 36, no. 5, pp. 521-524, 2009.
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[12]	A. Dogonchi and D. Ganji, “Investigation of mhd nanofluid flow and heat transfer in a stretching/shrinking convergent/divergent channel considering thermal radiation,” Journal of Molecular Liquids, vol. 220, pp. 592-603, 2016.
[13]	J. Nagler, “Jeffery-hamel flow of non-newtonian fluid with nonlinear viscosity and wall friction,” Applied Mathematics and Mechanics, vol. 38, pp. 815-830, 2017.
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APA Style

Nyabuti, V., Kiogora, P. R., Onyango, E., Nyawade, E. (2024). Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. International Journal of Fluid Mechanics & Thermal Sciences, 10(1), 1-14. https://doi.org/10.11648/j.ijfmts.20241001.11

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ACS Style

Nyabuti, V.; Kiogora, P. R.; Onyango, E.; Nyawade, E. Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. Int. J. Fluid Mech. Therm. Sci. 2024, 10(1), 1-14. doi: 10.11648/j.ijfmts.20241001.11

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AMA Style

Nyabuti V, Kiogora PR, Onyango E, Nyawade E. Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. Int J Fluid Mech Therm Sci. 2024;10(1):1-14. doi: 10.11648/j.ijfmts.20241001.11

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@article{10.11648/j.ijfmts.20241001.11,
  author = {Valarie Nyabuti and Phineas Roy Kiogora and Edward Onyango and Eunice Nyawade},
  title = {Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {10},
  number = {1},
  pages = {1-14},
  doi = {10.11648/j.ijfmts.20241001.11},
  url = {https://doi.org/10.11648/j.ijfmts.20241001.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20241001.11},
  abstract = {Inefficient heat transfer rates have resulted in high energy consumption costs in heat exchanger systems. In this study, unsteady MHD(Magneto-hydrodynamics) Nanofluid flow (Silver-water) through a divergent conduit with chemical reaction and radiation is investigated. The chemical reactions taking place within the Nanofluid are considered to be of first order with the radiation effects being in a steady state. The governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. The resulting system of non-linear ordinary differential equations is then solved using the spectral collocation method and implemented in MATLAB software. The results for velocity, temperature, and concentration profiles are presented graphically and discussed. It was observed that increasing the Reynolds number and Hartmann number led to an increase in the velocity profile. Increasing the Eckert number and Joule heating parameter increased the temperature profile while increasing the radiation parameter led to a decrease in the temperature of the Nanofluid. The concentration of the Nanofluid increased with an increase in the Soret number and Chemical reaction parameter while the concentration decreased with an increase in the Schmidt number. The findings have practical applications in designing and optimizing heat exchangers by maximizing heat transfer thus contributing to the sustainability of geothermal power generation in the energy industry.},
 year = {2024}
}

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TY  - JOUR
T1  - Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation
AU  - Valarie Nyabuti
AU  - Phineas Roy Kiogora
AU  - Edward Onyango
AU  - Eunice Nyawade
Y1  - 2024/02/28
PY  - 2024
N1  - https://doi.org/10.11648/j.ijfmts.20241001.11
DO  - 10.11648/j.ijfmts.20241001.11
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  - 1
EP  - 14
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20241001.11
AB  - Inefficient heat transfer rates have resulted in high energy consumption costs in heat exchanger systems. In this study, unsteady MHD(Magneto-hydrodynamics) Nanofluid flow (Silver-water) through a divergent conduit with chemical reaction and radiation is investigated. The chemical reactions taking place within the Nanofluid are considered to be of first order with the radiation effects being in a steady state. The governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. The resulting system of non-linear ordinary differential equations is then solved using the spectral collocation method and implemented in MATLAB software. The results for velocity, temperature, and concentration profiles are presented graphically and discussed. It was observed that increasing the Reynolds number and Hartmann number led to an increase in the velocity profile. Increasing the Eckert number and Joule heating parameter increased the temperature profile while increasing the radiation parameter led to a decrease in the temperature of the Nanofluid. The concentration of the Nanofluid increased with an increase in the Soret number and Chemical reaction parameter while the concentration decreased with an increase in the Schmidt number. The findings have practical applications in designing and optimizing heat exchangers by maximizing heat transfer thus contributing to the sustainability of geothermal power generation in the energy industry.
VL  - 10
IS  - 1
ER  -

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Author Information

Valarie Nyabuti

Department of Mathematics, Pan African University Institute of Basic Sciences, Technology and Innovation, Nairobi, Kenya

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Phineas Roy Kiogora

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

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Edward Onyango

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

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Eunice Nyawade

Department of Chemistry, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

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Plain Text BibTeX RIS

APA Style

Nyabuti, V., Kiogora, P. R., Onyango, E., Nyawade, E. (2024). Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. International Journal of Fluid Mechanics & Thermal Sciences, 10(1), 1-14. https://doi.org/10.11648/j.ijfmts.20241001.11

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ACS Style

Nyabuti, V.; Kiogora, P. R.; Onyango, E.; Nyawade, E. Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. Int. J. Fluid Mech. Therm. Sci. 2024, 10(1), 1-14. doi: 10.11648/j.ijfmts.20241001.11

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AMA Style

Nyabuti V, Kiogora PR, Onyango E, Nyawade E. Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation. Int J Fluid Mech Therm Sci. 2024;10(1):1-14. doi: 10.11648/j.ijfmts.20241001.11

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@article{10.11648/j.ijfmts.20241001.11,
  author = {Valarie Nyabuti and Phineas Roy Kiogora and Edward Onyango and Eunice Nyawade},
  title = {Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {10},
  number = {1},
  pages = {1-14},
  doi = {10.11648/j.ijfmts.20241001.11},
  url = {https://doi.org/10.11648/j.ijfmts.20241001.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20241001.11},
  abstract = {Inefficient heat transfer rates have resulted in high energy consumption costs in heat exchanger systems. In this study, unsteady MHD(Magneto-hydrodynamics) Nanofluid flow (Silver-water) through a divergent conduit with chemical reaction and radiation is investigated. The chemical reactions taking place within the Nanofluid are considered to be of first order with the radiation effects being in a steady state. The governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. The resulting system of non-linear ordinary differential equations is then solved using the spectral collocation method and implemented in MATLAB software. The results for velocity, temperature, and concentration profiles are presented graphically and discussed. It was observed that increasing the Reynolds number and Hartmann number led to an increase in the velocity profile. Increasing the Eckert number and Joule heating parameter increased the temperature profile while increasing the radiation parameter led to a decrease in the temperature of the Nanofluid. The concentration of the Nanofluid increased with an increase in the Soret number and Chemical reaction parameter while the concentration decreased with an increase in the Schmidt number. The findings have practical applications in designing and optimizing heat exchangers by maximizing heat transfer thus contributing to the sustainability of geothermal power generation in the energy industry.},
 year = {2024}
}

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TY  - JOUR
T1  - Unsteady MHD Nanofluid Flow Through a Divergent Conduit with Chemical Reaction and Radiation
AU  - Valarie Nyabuti
AU  - Phineas Roy Kiogora
AU  - Edward Onyango
AU  - Eunice Nyawade
Y1  - 2024/02/28
PY  - 2024
N1  - https://doi.org/10.11648/j.ijfmts.20241001.11
DO  - 10.11648/j.ijfmts.20241001.11
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  - 1
EP  - 14
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20241001.11
AB  - Inefficient heat transfer rates have resulted in high energy consumption costs in heat exchanger systems. In this study, unsteady MHD(Magneto-hydrodynamics) Nanofluid flow (Silver-water) through a divergent conduit with chemical reaction and radiation is investigated. The chemical reactions taking place within the Nanofluid are considered to be of first order with the radiation effects being in a steady state. The governing partial differential equations have been transformed into ordinary differential equations using similarity transformations. The resulting system of non-linear ordinary differential equations is then solved using the spectral collocation method and implemented in MATLAB software. The results for velocity, temperature, and concentration profiles are presented graphically and discussed. It was observed that increasing the Reynolds number and Hartmann number led to an increase in the velocity profile. Increasing the Eckert number and Joule heating parameter increased the temperature profile while increasing the radiation parameter led to a decrease in the temperature of the Nanofluid. The concentration of the Nanofluid increased with an increase in the Soret number and Chemical reaction parameter while the concentration decreased with an increase in the Schmidt number. The findings have practical applications in designing and optimizing heat exchangers by maximizing heat transfer thus contributing to the sustainability of geothermal power generation in the energy industry.
VL  - 10
IS  - 1
ER  -

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