Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet

Falana Ayodeji; Adeboje Taiwo Bode

doi:doi:10.11648/j.ae.20220601.12

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Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet

Falana Ayodeji, Adeboje Taiwo Bode

Published in Applied Engineering (Volume 6, Issue 1)

Received: 16 February 2022 Accepted: 25 March 2022 Published: 31 March 2022

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Abstract

Numerical solution of unsteady Mangneto Hydrodynamic (MHD) bioconvection of a nanofluid past over a stretching sheet wasinvestigated. Thegoverning nonlinear partia ldifferential equations (peds) of the flow are transformed into a system of coupled nonlinear ordinary differential equations (odes) using similarity transformations. These coupled ordinary differential equations are solved using fourth order Runge Kutta -Fehlberg integration method along with shooting technique. The effects of unsteadiness, Darcy number and magneticparameters were analyzed. It is found that the Skin friction, the reduced Nusselt number and the density of local microorganisms depend on the above parameters. It is equally found that as the darcy number increases the Skin friction reduces and inncrease in unsteadiness parameter reduces the Skin friction. Increase in the unsteadiness parameter reduces the density of local microorganism profile. Furthermore, increase in magnetic parameter increases the velocity. It is also observed that as the Nusselt number increases the temperature reduces. The present numerical results are compared with previously published results and are found to be in good agreement. Other results are presented graphally and in tables.

Published in	Applied Engineering (Volume 6, Issue 1)
DOI	10.11648/j.ae.20220601.12
Page(s)	7-12
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

Unsteadiness, Motile Organisms, Boundary Layer, Density, Bioconvection

References

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[9]	Rahman, M. M., et al., Boundary Layer Flow of a Nanofluid past a Permeable Exponentially Shrinking/Stretching Surface with Second Order Slip Using Buongiorno’s Model, International Journal of Heat and Mass Transfer, 77 (2014), pp. 1133-1143.
[10]	Fekry, M. H, Mahdy, M., Ramadan, A. M., Omima, A. and Abo, Z. (2016). Effects of Viscous Dissipation on Unsteady MHD Thermo Bioconvection Boundary Layer Flow of a Nanofluid Containing Gyrotactic Microorganisms along a Stretching Sheet. World Journal of Mechanics. 6: 505-526.
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[14]	Khan, M. S., Karim, I., Ali, L. E. and Islam, A. (2012) Unsteady MHD Free Convection Boundary-Layer Flow of a Nanofluid along a Stretching Sheet with Thermal Radiation and Viscous Dissipation Effects. International Nano Letters, 2, 24. https://doi.org/10.1186/2228-5326-2-24
[15]	Kuznetsove, A. V. and Avramenko, A. A. (2003). Stability Analysis of Bio convection of Gyrotactic Motile Microorganisms in a Fluid Saturated Porous Medium. Transport in Porous Media. 53: 95-104.
[16]	Kuznetsov, A. V., Nield, D. A., Natural Convective Boundary-layer Flow of a Nanofluid past a Vertical Plate, International Journal of Thermal Science, 49 (2010), pp. 243-247.
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APA Style

Falana Ayodeji, Adeboje Taiwo Bode. (2022). Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Applied Engineering, 6(1), 7-12. https://doi.org/10.11648/j.ae.20220601.12

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ACS Style

Falana Ayodeji; Adeboje Taiwo Bode. Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Appl. Eng. 2022, 6(1), 7-12. doi: 10.11648/j.ae.20220601.12

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AMA Style

Falana Ayodeji, Adeboje Taiwo Bode. Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Appl Eng. 2022;6(1):7-12. doi: 10.11648/j.ae.20220601.12

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@article{10.11648/j.ae.20220601.12,
  author = {Falana Ayodeji and Adeboje Taiwo Bode},
  title = {Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet},
  journal = {Applied Engineering},
  volume = {6},
  number = {1},
  pages = {7-12},
  doi = {10.11648/j.ae.20220601.12},
  url = {https://doi.org/10.11648/j.ae.20220601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20220601.12},
  abstract = {Numerical solution of unsteady Mangneto Hydrodynamic (MHD) bioconvection of a nanofluid past over a stretching sheet wasinvestigated. Thegoverning nonlinear partia ldifferential equations (peds) of the flow are transformed into a system of coupled nonlinear ordinary differential equations (odes) using similarity transformations. These coupled ordinary differential equations are solved using fourth order Runge Kutta -Fehlberg integration method along with shooting technique. The effects of unsteadiness, Darcy number and magneticparameters were analyzed. It is found that the Skin friction, the reduced Nusselt number and the density of local microorganisms depend on the above parameters. It is equally found that as the darcy number increases the Skin friction reduces and inncrease in unsteadiness parameter reduces the Skin friction. Increase in the unsteadiness parameter reduces the density of local microorganism profile. Furthermore, increase in magnetic parameter increases the velocity. It is also observed that as the Nusselt number increases the temperature reduces. The present numerical results are compared with previously published results and are found to be in good agreement. Other results are presented graphally and in tables.},
 year = {2022}
}

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TY - JOUR
T1 - Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet
AU - Falana Ayodeji
AU - Adeboje Taiwo Bode
Y1 - 2022/03/31
PY - 2022
N1 - https://doi.org/10.11648/j.ae.20220601.12
DO - 10.11648/j.ae.20220601.12
T2 - Applied Engineering
JF - Applied Engineering
JO - Applied Engineering
SP - 7
EP - 12
PB - Science Publishing Group
SN - 2994-7456
UR - https://doi.org/10.11648/j.ae.20220601.12
AB - Numerical solution of unsteady Mangneto Hydrodynamic (MHD) bioconvection of a nanofluid past over a stretching sheet wasinvestigated. Thegoverning nonlinear partia ldifferential equations (peds) of the flow are transformed into a system of coupled nonlinear ordinary differential equations (odes) using similarity transformations. These coupled ordinary differential equations are solved using fourth order Runge Kutta -Fehlberg integration method along with shooting technique. The effects of unsteadiness, Darcy number and magneticparameters were analyzed. It is found that the Skin friction, the reduced Nusselt number and the density of local microorganisms depend on the above parameters. It is equally found that as the darcy number increases the Skin friction reduces and inncrease in unsteadiness parameter reduces the Skin friction. Increase in the unsteadiness parameter reduces the density of local microorganism profile. Furthermore, increase in magnetic parameter increases the velocity. It is also observed that as the Nusselt number increases the temperature reduces. The present numerical results are compared with previously published results and are found to be in good agreement. Other results are presented graphally and in tables.
VL - 6
IS - 1
ER -

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Author Information

Falana Ayodeji

Department of Mechanical Engineering, University of Ibadan, Ibadan, Nigeria
Adeboje Taiwo Bode

Department Mechanical Engineering, Adeseun Ogundoyin Polytechnic, Eruwa, Nigeria

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APA Style

Falana Ayodeji, Adeboje Taiwo Bode. (2022). Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Applied Engineering, 6(1), 7-12. https://doi.org/10.11648/j.ae.20220601.12

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ACS Style

Falana Ayodeji; Adeboje Taiwo Bode. Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Appl. Eng. 2022, 6(1), 7-12. doi: 10.11648/j.ae.20220601.12

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AMA Style

Falana Ayodeji, Adeboje Taiwo Bode. Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet. Appl Eng. 2022;6(1):7-12. doi: 10.11648/j.ae.20220601.12

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@article{10.11648/j.ae.20220601.12,
  author = {Falana Ayodeji and Adeboje Taiwo Bode},
  title = {Numerical Study of the Effects of Unsteadiness on (MHD) Bioconvection of Nanofluids over a Stretching Sheet},
  journal = {Applied Engineering},
  volume = {6},
  number = {1},
  pages = {7-12},
  doi = {10.11648/j.ae.20220601.12},
  url = {https://doi.org/10.11648/j.ae.20220601.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20220601.12},
  abstract = {Numerical solution of unsteady Mangneto Hydrodynamic (MHD) bioconvection of a nanofluid past over a stretching sheet wasinvestigated. Thegoverning nonlinear partia ldifferential equations (peds) of the flow are transformed into a system of coupled nonlinear ordinary differential equations (odes) using similarity transformations. These coupled ordinary differential equations are solved using fourth order Runge Kutta -Fehlberg integration method along with shooting technique. The effects of unsteadiness, Darcy number and magneticparameters were analyzed. It is found that the Skin friction, the reduced Nusselt number and the density of local microorganisms depend on the above parameters. It is equally found that as the darcy number increases the Skin friction reduces and inncrease in unsteadiness parameter reduces the Skin friction. Increase in the unsteadiness parameter reduces the density of local microorganism profile. Furthermore, increase in magnetic parameter increases the velocity. It is also observed that as the Nusselt number increases the temperature reduces. The present numerical results are compared with previously published results and are found to be in good agreement. Other results are presented graphally and in tables.},
 year = {2022}
}

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