The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate

Damilare John Samuel; Babatunde Oluwaseun Ajayi

doi:doi:10.11648/j.cbe.20180303.12

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The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate

Damilare John Samuel, Babatunde Oluwaseun Ajayi

Published in Chemical and Biomolecular Engineering (Volume 3, Issue 3)

Received: 28 August 2018 Accepted: 14 September 2018 Published: 22 October 2018

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Abstract

In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the inﬂuence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the ﬂuid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.

Published in	Chemical and Biomolecular Engineering (Volume 3, Issue 3)
DOI	10.11648/j.cbe.20180303.12
Page(s)	22-34
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), 2018. Published by Science Publishing Group

Keywords

Power Law Fluid, Viscous Dissipation, Natural Convection Heat Transfer, Fehlberg Method, Thermal Radiation

References

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Damilare John Samuel, Babatunde Oluwaseun Ajayi. (2018). The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chemical and Biomolecular Engineering, 3(3), 22-34. https://doi.org/10.11648/j.cbe.20180303.12

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ACS Style

Damilare John Samuel; Babatunde Oluwaseun Ajayi. The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chem. Biomol. Eng. 2018, 3(3), 22-34. doi: 10.11648/j.cbe.20180303.12

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AMA Style

Damilare John Samuel, Babatunde Oluwaseun Ajayi. The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chem Biomol Eng. 2018;3(3):22-34. doi: 10.11648/j.cbe.20180303.12

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@article{10.11648/j.cbe.20180303.12,
  author = {Damilare John Samuel and Babatunde Oluwaseun Ajayi},
  title = {The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate},
  journal = {Chemical and Biomolecular Engineering},
  volume = {3},
  number = {3},
  pages = {22-34},
  doi = {10.11648/j.cbe.20180303.12},
  url = {https://doi.org/10.11648/j.cbe.20180303.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cbe.20180303.12},
  abstract = {In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the inﬂuence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the ﬂuid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.},
 year = {2018}
}

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TY  - JOUR
T1  - The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate
AU  - Damilare John Samuel
AU  - Babatunde Oluwaseun Ajayi
Y1  - 2018/10/22
PY  - 2018
N1  - https://doi.org/10.11648/j.cbe.20180303.12
DO  - 10.11648/j.cbe.20180303.12
T2  - Chemical and Biomolecular Engineering
JF  - Chemical and Biomolecular Engineering
JO  - Chemical and Biomolecular Engineering
SP  - 22
EP  - 34
PB  - Science Publishing Group
SN  - 2578-8884
UR  - https://doi.org/10.11648/j.cbe.20180303.12
AB  - In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the inﬂuence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the ﬂuid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.
VL  - 3
IS  - 3
ER  -

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Author Information

Damilare John Samuel

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Babatunde Oluwaseun Ajayi

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria

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APA Style

Damilare John Samuel, Babatunde Oluwaseun Ajayi. (2018). The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chemical and Biomolecular Engineering, 3(3), 22-34. https://doi.org/10.11648/j.cbe.20180303.12

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ACS Style

Damilare John Samuel; Babatunde Oluwaseun Ajayi. The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chem. Biomol. Eng. 2018, 3(3), 22-34. doi: 10.11648/j.cbe.20180303.12

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AMA Style

Damilare John Samuel, Babatunde Oluwaseun Ajayi. The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate. Chem Biomol Eng. 2018;3(3):22-34. doi: 10.11648/j.cbe.20180303.12

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@article{10.11648/j.cbe.20180303.12,
  author = {Damilare John Samuel and Babatunde Oluwaseun Ajayi},
  title = {The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate},
  journal = {Chemical and Biomolecular Engineering},
  volume = {3},
  number = {3},
  pages = {22-34},
  doi = {10.11648/j.cbe.20180303.12},
  url = {https://doi.org/10.11648/j.cbe.20180303.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.cbe.20180303.12},
  abstract = {In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the inﬂuence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the ﬂuid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - The Effects of Thermo-Physical Parameters on Free Convective Flow of a Chemically Reactive Power Law Fluid Driven by Exothermal Plate
AU  - Damilare John Samuel
AU  - Babatunde Oluwaseun Ajayi
Y1  - 2018/10/22
PY  - 2018
N1  - https://doi.org/10.11648/j.cbe.20180303.12
DO  - 10.11648/j.cbe.20180303.12
T2  - Chemical and Biomolecular Engineering
JF  - Chemical and Biomolecular Engineering
JO  - Chemical and Biomolecular Engineering
SP  - 22
EP  - 34
PB  - Science Publishing Group
SN  - 2578-8884
UR  - https://doi.org/10.11648/j.cbe.20180303.12
AB  - In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourth-order Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the inﬂuence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the ﬂuid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.
VL  - 3
IS  - 3
ER  -

Copy | Download