Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis

Chika Uchechukwu Boneze; Adeolu John Omowaye; Adeyemi Isaiah Fagbade; Ayodele Adedeji Ashefon

doi:doi:10.11648/j.ijamtp.20220802.11

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Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 8, Issue 2)

Received: 10 March 2022 Accepted: 11 July 2022 Published: 17 August 2022

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Abstract

In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 8, Issue 2)
DOI	10.11648/j.ijamtp.20220802.11
Page(s)	30-42
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

Thermophoresis, Viscous Dissipation, Porous Medium, Magnetic Effect, Chemical Reaction, Spectral Homotopy Analysis Method (SHAM)

References

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Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. (2022). Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. International Journal of Applied Mathematics and Theoretical Physics, 8(2), 30-42. https://doi.org/10.11648/j.ijamtp.20220802.11

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ACS Style

Chika Uchechukwu Boneze; Adeolu John Omowaye; Adeyemi Isaiah Fagbade; Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int. J. Appl. Math. Theor. Phys. 2022, 8(2), 30-42. doi: 10.11648/j.ijamtp.20220802.11

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AMA Style

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int J Appl Math Theor Phys. 2022;8(2):30-42. doi: 10.11648/j.ijamtp.20220802.11

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@article{10.11648/j.ijamtp.20220802.11,
  author = {Chika Uchechukwu Boneze and Adeolu John Omowaye and Adeyemi Isaiah Fagbade and Ayodele Adedeji Ashefon},
  title = {Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {8},
  number = {2},
  pages = {30-42},
  doi = {10.11648/j.ijamtp.20220802.11},
  url = {https://doi.org/10.11648/j.ijamtp.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20220802.11},
  abstract = {In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.},
 year = {2022}
}

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TY  - JOUR
T1  - Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis
AU  - Chika Uchechukwu Boneze
AU  - Adeolu John Omowaye
AU  - Adeyemi Isaiah Fagbade
AU  - Ayodele Adedeji Ashefon
Y1  - 2022/08/17
PY  - 2022
N1  - https://doi.org/10.11648/j.ijamtp.20220802.11
DO  - 10.11648/j.ijamtp.20220802.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 30
EP  - 42
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20220802.11
AB  - In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.
VL  - 8
IS  - 2
ER  -

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Author Information

Chika Uchechukwu Boneze

Department of Mathematics, University of Louisiana, Lafayette, U.S.A
Adeolu John Omowaye

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Adeyemi Isaiah Fagbade

Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Ayodele Adedeji Ashefon

Department of Mathematics, University of Louisiana, Lafayette, U.S.A

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APA Style

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. (2022). Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. International Journal of Applied Mathematics and Theoretical Physics, 8(2), 30-42. https://doi.org/10.11648/j.ijamtp.20220802.11

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ACS Style

Chika Uchechukwu Boneze; Adeolu John Omowaye; Adeyemi Isaiah Fagbade; Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int. J. Appl. Math. Theor. Phys. 2022, 8(2), 30-42. doi: 10.11648/j.ijamtp.20220802.11

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AMA Style

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int J Appl Math Theor Phys. 2022;8(2):30-42. doi: 10.11648/j.ijamtp.20220802.11

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@article{10.11648/j.ijamtp.20220802.11,
  author = {Chika Uchechukwu Boneze and Adeolu John Omowaye and Adeyemi Isaiah Fagbade and Ayodele Adedeji Ashefon},
  title = {Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {8},
  number = {2},
  pages = {30-42},
  doi = {10.11648/j.ijamtp.20220802.11},
  url = {https://doi.org/10.11648/j.ijamtp.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20220802.11},
  abstract = {In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis
AU  - Chika Uchechukwu Boneze
AU  - Adeolu John Omowaye
AU  - Adeyemi Isaiah Fagbade
AU  - Ayodele Adedeji Ashefon
Y1  - 2022/08/17
PY  - 2022
N1  - https://doi.org/10.11648/j.ijamtp.20220802.11
DO  - 10.11648/j.ijamtp.20220802.11
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 30
EP  - 42
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20220802.11
AB  - In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.
VL  - 8
IS  - 2
ER  -

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