Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion

Falana Ayodeji; Alegbeleye Tope; Olabanji Pele

doi:doi:10.11648/j.mlr.20190404.12

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Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion

Falana Ayodeji, Alegbeleye Tope, Olabanji Pele

Published in Machine Learning Research (Volume 4, Issue 4)

Received: 6 July 2019 Accepted: 18 August 2019 Published: 8 January 2020

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Abstract

The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.

Published in	Machine Learning Research (Volume 4, Issue 4)
DOI	10.11648/j.mlr.20190404.12
Page(s)	51-60
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

MHD Flow, Thermophoresis, Viscous Dissipation, Brownian Motion Slip Conditions, Nano Fluid, Heat and Mass Transfer

References

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APA Style

Falana Ayodeji, Alegbeleye Tope, Olabanji Pele. (2020). Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Machine Learning Research, 4(4), 51-60. https://doi.org/10.11648/j.mlr.20190404.12

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ACS Style

Falana Ayodeji; Alegbeleye Tope; Olabanji Pele. Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Mach. Learn. Res. 2020, 4(4), 51-60. doi: 10.11648/j.mlr.20190404.12

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AMA Style

Falana Ayodeji, Alegbeleye Tope, Olabanji Pele. Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Mach Learn Res. 2020;4(4):51-60. doi: 10.11648/j.mlr.20190404.12

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@article{10.11648/j.mlr.20190404.12,
  author = {Falana Ayodeji and Alegbeleye Tope and Olabanji Pele},
  title = {Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion},
  journal = {Machine Learning Research},
  volume = {4},
  number = {4},
  pages = {51-60},
  doi = {10.11648/j.mlr.20190404.12},
  url = {https://doi.org/10.11648/j.mlr.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mlr.20190404.12},
  abstract = {The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.},
 year = {2020}
}

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TY  - JOUR
T1  - Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion
AU  - Falana Ayodeji
AU  - Alegbeleye Tope
AU  - Olabanji Pele
Y1  - 2020/01/08
PY  - 2020
N1  - https://doi.org/10.11648/j.mlr.20190404.12
DO  - 10.11648/j.mlr.20190404.12
T2  - Machine Learning Research
JF  - Machine Learning Research
JO  - Machine Learning Research
SP  - 51
EP  - 60
PB  - Science Publishing Group
SN  - 2637-5680
UR  - https://doi.org/10.11648/j.mlr.20190404.12
AB  - The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.
VL  - 4
IS  - 4
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
Olabanji Pele

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

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APA Style

Falana Ayodeji, Alegbeleye Tope, Olabanji Pele. (2020). Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Machine Learning Research, 4(4), 51-60. https://doi.org/10.11648/j.mlr.20190404.12

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ACS Style

Falana Ayodeji; Alegbeleye Tope; Olabanji Pele. Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Mach. Learn. Res. 2020, 4(4), 51-60. doi: 10.11648/j.mlr.20190404.12

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AMA Style

Falana Ayodeji, Alegbeleye Tope, Olabanji Pele. Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion. Mach Learn Res. 2020;4(4):51-60. doi: 10.11648/j.mlr.20190404.12

Copy | Download

@article{10.11648/j.mlr.20190404.12,
  author = {Falana Ayodeji and Alegbeleye Tope and Olabanji Pele},
  title = {Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion},
  journal = {Machine Learning Research},
  volume = {4},
  number = {4},
  pages = {51-60},
  doi = {10.11648/j.mlr.20190404.12},
  url = {https://doi.org/10.11648/j.mlr.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mlr.20190404.12},
  abstract = {The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.},
 year = {2020}
}

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TY  - JOUR
T1  - Magneto-hydrodynamics (MHD) Bioconvection Nanofluid Slip Flow over a Stretching Sheet with Thermophoresis, Viscous Dissipation and Brownian Motion
AU  - Falana Ayodeji
AU  - Alegbeleye Tope
AU  - Olabanji Pele
Y1  - 2020/01/08
PY  - 2020
N1  - https://doi.org/10.11648/j.mlr.20190404.12
DO  - 10.11648/j.mlr.20190404.12
T2  - Machine Learning Research
JF  - Machine Learning Research
JO  - Machine Learning Research
SP  - 51
EP  - 60
PB  - Science Publishing Group
SN  - 2637-5680
UR  - https://doi.org/10.11648/j.mlr.20190404.12
AB  - The bioconvection Magneto-Hydrodynamics (MHD) flow of nanofluid over a stretching sheet with velocity slip and viscous dissipation is studied. The governing nonlinear partial differential equations of the flow are transformed into a system of coupled nonlinear ordinary differential equations using similarity transformation. These coupled ordinary differential equations are solved using fourth order Runge Kutta-Fehlberg integration method along with shooting technique. Solutions showing the effects of pertinent parameters on the velocity temperature, nanoparticles concentration, skin friction, Nusselt number and microorganism density are illustrated graphically and discussed. It is observed that there is enhancement of the motile microorganism density as thermal slip and Eckert number increase but microorganism density slip parameter have the opposite effect on the microorganism density. It is also found that an increase in Lewis number results in reduction of the volume fraction of nanoparticles and concentration boundary-layer thickness. Brownian motion, Nb and Eckert number, Ec decrease both local Nusselt number and local motile microorganism density but increases local Sherwood number. In addition, as the values of radiation parameter R increase, the thermal boundary layer thickness increases. Finally, thermophoresis parameter, Nt decreases both local Sherwood number, local Nuseselt number and local motile microorganism density. Comparisons of the present result with the previously published results show good agreement.
VL  - 4
IS  - 4
ER  -

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