Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects

Falana Ayodeji; Alegbeleye Tope; Owoeye Samuel

doi:doi:10.11648/j.ajmie.20190406.11

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Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects

Falana Ayodeji, Alegbeleye Tope, Owoeye Samuel

Published in American Journal of Mechanical and Industrial Engineering (Volume 4, Issue 6)

Received: 2 June 2019 Accepted: 12 July 2019 Published: 4 January 2020

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Abstract

This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Péclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Péclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.

Published in	American Journal of Mechanical and Industrial Engineering (Volume 4, Issue 6)
DOI	10.11648/j.ajmie.20190406.11
Page(s)	86-95
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), 2020. Published by Science Publishing Group

Keywords

Bioconvention Péclet, Slip Conditions, Nanofluid, MHD Flow and Heat Transfer

References

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APA Style

Falana Ayodeji, Alegbeleye Tope, Owoeye Samuel. (2020). Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. American Journal of Mechanical and Industrial Engineering, 4(6), 86-95. https://doi.org/10.11648/j.ajmie.20190406.11

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ACS Style

Falana Ayodeji; Alegbeleye Tope; Owoeye Samuel. Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. Am. J. Mech. Ind. Eng. 2020, 4(6), 86-95. doi: 10.11648/j.ajmie.20190406.11

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AMA Style

Falana Ayodeji, Alegbeleye Tope, Owoeye Samuel. Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. Am J Mech Ind Eng. 2020;4(6):86-95. doi: 10.11648/j.ajmie.20190406.11

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@article{10.11648/j.ajmie.20190406.11,
  author = {Falana Ayodeji and Alegbeleye Tope and Owoeye Samuel},
  title = {Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects},
  journal = {American Journal of Mechanical and Industrial Engineering},
  volume = {4},
  number = {6},
  pages = {86-95},
  doi = {10.11648/j.ajmie.20190406.11},
  url = {https://doi.org/10.11648/j.ajmie.20190406.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmie.20190406.11},
  abstract = {This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Péclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Péclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.},
 year = {2020}
}

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TY  - JOUR
T1  - Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects
AU  - Falana Ayodeji
AU  - Alegbeleye Tope
AU  - Owoeye Samuel
Y1  - 2020/01/04
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmie.20190406.11
DO  - 10.11648/j.ajmie.20190406.11
T2  - American Journal of Mechanical and Industrial Engineering
JF  - American Journal of Mechanical and Industrial Engineering
JO  - American Journal of Mechanical and Industrial Engineering
SP  - 86
EP  - 95
PB  - Science Publishing Group
SN  - 2575-6060
UR  - https://doi.org/10.11648/j.ajmie.20190406.11
AB  - This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Péclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Péclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.
VL  - 4
IS  - 6
ER  -

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Author Information

Falana Ayodeji

Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Alegbeleye Tope

Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Owoeye Samuel

Department of Mechanical Engineering, Federal University of Agriculture, Abeokuta, Nigeria

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APA Style

Falana Ayodeji, Alegbeleye Tope, Owoeye Samuel. (2020). Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. American Journal of Mechanical and Industrial Engineering, 4(6), 86-95. https://doi.org/10.11648/j.ajmie.20190406.11

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ACS Style

Falana Ayodeji; Alegbeleye Tope; Owoeye Samuel. Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. Am. J. Mech. Ind. Eng. 2020, 4(6), 86-95. doi: 10.11648/j.ajmie.20190406.11

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AMA Style

Falana Ayodeji, Alegbeleye Tope, Owoeye Samuel. Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects. Am J Mech Ind Eng. 2020;4(6):86-95. doi: 10.11648/j.ajmie.20190406.11

Copy | Download

@article{10.11648/j.ajmie.20190406.11,
  author = {Falana Ayodeji and Alegbeleye Tope and Owoeye Samuel},
  title = {Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects},
  journal = {American Journal of Mechanical and Industrial Engineering},
  volume = {4},
  number = {6},
  pages = {86-95},
  doi = {10.11648/j.ajmie.20190406.11},
  url = {https://doi.org/10.11648/j.ajmie.20190406.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmie.20190406.11},
  abstract = {This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Péclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Péclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Magneto-Hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Microorganism Concentration and Bioconvection Péclet Number Effects
AU  - Falana Ayodeji
AU  - Alegbeleye Tope
AU  - Owoeye Samuel
Y1  - 2020/01/04
PY  - 2020
N1  - https://doi.org/10.11648/j.ajmie.20190406.11
DO  - 10.11648/j.ajmie.20190406.11
T2  - American Journal of Mechanical and Industrial Engineering
JF  - American Journal of Mechanical and Industrial Engineering
JO  - American Journal of Mechanical and Industrial Engineering
SP  - 86
EP  - 95
PB  - Science Publishing Group
SN  - 2575-6060
UR  - https://doi.org/10.11648/j.ajmie.20190406.11
AB  - This study analyzes the effect of slip parameter, microorganism concentration and bioconvection Péclet number on Magneto-hydrodynamics (MHD) bioconvection nanofluid flow over a stretching sheet. Similarity transformation is employed to convert the governing partial differential equations into coupled non-linear ordinary differential equations with appropriate boundary conditions. These equations are solved numerically using fourth order Runge Kutta-Fehlberg integration method along with a shooting technique. The dimensionless velocity, temperature, nanoparticle concentration and density of motile microorganisms were obtained together with the local skin friction, reduced Nusselt, Sherwood and motile microorganism density numbers. It was observed that nanoparticle concentration decreases with increase in the nanoparticle concentration slip but increases as magnetic field parameter increases. Also the velocity of the fluid decreases with increase in both velocity slip parameter ξ and magnetic field parameter M. It is also noticed that the temperature of the flow is continuously decreasing as the value of velocity slip parameter ξ, temperature slip parameter β and concentration slip parameter γ increase. Furthermore, as velocity and nanoparticle concentration slip parameters increase, the Nusselt number was observed to increase while the Sherwood number decreases. The skin friction coefficient also decreases as the values of velocity slip parameter increases. Finally we found that local microorganism transfer rate increases with greater values of bioconvection Lewis number Lb, microorganism concentration Ω and bioconvection Péclet number Pe. Comparisons between the previously published works and the present results reveal excellent agreement.
VL  - 4
IS  - 6
ER  -

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