MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients

Okuyade Ighoroje Wilson Ata; Mebine Promise

doi:doi:10.11648/j.ijfmts.20230901.11

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MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients

Okuyade Ighoroje Wilson Ata, Mebine Promise

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 9, Issue 1)

Received: 19 February 2023 Accepted: 15 March 2023 Published: 15 June 2023

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Abstract

Fluid flow problems with convective boundary conditions have applications in the science and engineering worlds. Specifically, they are relevant in the heating and cooling processes observed in glass fiber production, and aerodynamic extrusion. This paper investigates the problem of steady MHD double-diffusive, viscous dissipative boundary layer flow over a vertical plate with heat source, reacting species, and thermal and mass transfer gradients effects. Usually, the problem of flow through porous media is examined using the Boussinesq’s approximations. The governing nonlinear partial differential equations are coupled and complex. Making them tractable, they are linearized into a set of ordinary differential equations using the similarity transform. The evolving set of ordinary differential equations is solved numerically using the fifth-order Runge-Kutta Fehlberg Method and Maple 21 mathematical computational software. The results obtained for the concentration, temperature, and velocity are presented graphically. The analysis of results shows, amongst others, that an increase in the magnetic field parameter increases the temperature and concentration, but decreases the velocity of the fluid; an increase in the Biot number increases the temperature, concentration, and velocity of the fluid; an increases in the concentration difference parameter increases the temperature, but decreases the concentration and velocity of the fluid; an increase in the Eckert number increases the concentration, but decreases the temperature and velocity of the fluid.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 9, Issue 1)
DOI	10.11648/j.ijfmts.20230901.11
Page(s)	1-11
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), 2024. Published by Science Publishing Group

Keywords

Double-Diffusion, Heat Source, MHD, Reacting Species, Thermal/Mass Transfer Gradients, Viscous Dissipation

References

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APA Style

Okuyade Ighoroje Wilson Ata, Mebine Promise. (2023). MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. International Journal of Fluid Mechanics & Thermal Sciences, 9(1), 1-11. https://doi.org/10.11648/j.ijfmts.20230901.11

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ACS Style

Okuyade Ighoroje Wilson Ata; Mebine Promise. MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. Int. J. Fluid Mech. Therm. Sci. 2023, 9(1), 1-11. doi: 10.11648/j.ijfmts.20230901.11

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AMA Style

Okuyade Ighoroje Wilson Ata, Mebine Promise. MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. Int J Fluid Mech Therm Sci. 2023;9(1):1-11. doi: 10.11648/j.ijfmts.20230901.11

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@article{10.11648/j.ijfmts.20230901.11,
  author = {Okuyade Ighoroje Wilson Ata and Mebine Promise},
  title = {MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {9},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ijfmts.20230901.11},
  url = {https://doi.org/10.11648/j.ijfmts.20230901.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20230901.11},
  abstract = {Fluid flow problems with convective boundary conditions have applications in the science and engineering worlds. Specifically, they are relevant in the heating and cooling processes observed in glass fiber production, and aerodynamic extrusion. This paper investigates the problem of steady MHD double-diffusive, viscous dissipative boundary layer flow over a vertical plate with heat source, reacting species, and thermal and mass transfer gradients effects. Usually, the problem of flow through porous media is examined using the Boussinesq’s approximations. The governing nonlinear partial differential equations are coupled and complex. Making them tractable, they are linearized into a set of ordinary differential equations using the similarity transform. The evolving set of ordinary differential equations is solved numerically using the fifth-order Runge-Kutta Fehlberg Method and Maple 21 mathematical computational software. The results obtained for the concentration, temperature, and velocity are presented graphically. The analysis of results shows, amongst others, that an increase in the magnetic field parameter increases the temperature and concentration, but decreases the velocity of the fluid; an increase in the Biot number increases the temperature, concentration, and velocity of the fluid; an increases in the concentration difference parameter increases the temperature, but decreases the concentration and velocity of the fluid; an increase in the Eckert number increases the concentration, but decreases the temperature and velocity of the fluid.},
 year = {2023}
}

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TY  - JOUR
T1  - MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients
AU  - Okuyade Ighoroje Wilson Ata
AU  - Mebine Promise
Y1  - 2023/06/15
PY  - 2023
N1  - https://doi.org/10.11648/j.ijfmts.20230901.11
DO  - 10.11648/j.ijfmts.20230901.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20230901.11
AB  - Fluid flow problems with convective boundary conditions have applications in the science and engineering worlds. Specifically, they are relevant in the heating and cooling processes observed in glass fiber production, and aerodynamic extrusion. This paper investigates the problem of steady MHD double-diffusive, viscous dissipative boundary layer flow over a vertical plate with heat source, reacting species, and thermal and mass transfer gradients effects. Usually, the problem of flow through porous media is examined using the Boussinesq’s approximations. The governing nonlinear partial differential equations are coupled and complex. Making them tractable, they are linearized into a set of ordinary differential equations using the similarity transform. The evolving set of ordinary differential equations is solved numerically using the fifth-order Runge-Kutta Fehlberg Method and Maple 21 mathematical computational software. The results obtained for the concentration, temperature, and velocity are presented graphically. The analysis of results shows, amongst others, that an increase in the magnetic field parameter increases the temperature and concentration, but decreases the velocity of the fluid; an increase in the Biot number increases the temperature, concentration, and velocity of the fluid; an increases in the concentration difference parameter increases the temperature, but decreases the concentration and velocity of the fluid; an increase in the Eckert number increases the concentration, but decreases the temperature and velocity of the fluid.
VL  - 9
IS  - 1
ER  -

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Author Information

Okuyade Ighoroje Wilson Ata

Department of Mathematics/Statistics, Federal Polytechnic of Oil and Gas, Bonny Island, Nigeria
Mebine Promise

Department of Mathematics/Computer Science, Niger Delta University, Wilberforce Island, Nigeria

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APA Style

Okuyade Ighoroje Wilson Ata, Mebine Promise. (2023). MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. International Journal of Fluid Mechanics & Thermal Sciences, 9(1), 1-11. https://doi.org/10.11648/j.ijfmts.20230901.11

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ACS Style

Okuyade Ighoroje Wilson Ata; Mebine Promise. MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. Int. J. Fluid Mech. Therm. Sci. 2023, 9(1), 1-11. doi: 10.11648/j.ijfmts.20230901.11

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AMA Style

Okuyade Ighoroje Wilson Ata, Mebine Promise. MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients. Int J Fluid Mech Therm Sci. 2023;9(1):1-11. doi: 10.11648/j.ijfmts.20230901.11

Copy | Download

@article{10.11648/j.ijfmts.20230901.11,
  author = {Okuyade Ighoroje Wilson Ata and Mebine Promise},
  title = {MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {9},
  number = {1},
  pages = {1-11},
  doi = {10.11648/j.ijfmts.20230901.11},
  url = {https://doi.org/10.11648/j.ijfmts.20230901.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20230901.11},
  abstract = {Fluid flow problems with convective boundary conditions have applications in the science and engineering worlds. Specifically, they are relevant in the heating and cooling processes observed in glass fiber production, and aerodynamic extrusion. This paper investigates the problem of steady MHD double-diffusive, viscous dissipative boundary layer flow over a vertical plate with heat source, reacting species, and thermal and mass transfer gradients effects. Usually, the problem of flow through porous media is examined using the Boussinesq’s approximations. The governing nonlinear partial differential equations are coupled and complex. Making them tractable, they are linearized into a set of ordinary differential equations using the similarity transform. The evolving set of ordinary differential equations is solved numerically using the fifth-order Runge-Kutta Fehlberg Method and Maple 21 mathematical computational software. The results obtained for the concentration, temperature, and velocity are presented graphically. The analysis of results shows, amongst others, that an increase in the magnetic field parameter increases the temperature and concentration, but decreases the velocity of the fluid; an increase in the Biot number increases the temperature, concentration, and velocity of the fluid; an increases in the concentration difference parameter increases the temperature, but decreases the concentration and velocity of the fluid; an increase in the Eckert number increases the concentration, but decreases the temperature and velocity of the fluid.},
 year = {2023}
}

Copy | Download

TY  - JOUR
T1  - MHD Double-Diffusive and Viscous Dissipative Boundary Layer Flow over a Vertical Plate with Heat Source, Reacting Species, and Thermal and Mass Transfer Gradients
AU  - Okuyade Ighoroje Wilson Ata
AU  - Mebine Promise
Y1  - 2023/06/15
PY  - 2023
N1  - https://doi.org/10.11648/j.ijfmts.20230901.11
DO  - 10.11648/j.ijfmts.20230901.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 1
EP  - 11
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20230901.11
AB  - Fluid flow problems with convective boundary conditions have applications in the science and engineering worlds. Specifically, they are relevant in the heating and cooling processes observed in glass fiber production, and aerodynamic extrusion. This paper investigates the problem of steady MHD double-diffusive, viscous dissipative boundary layer flow over a vertical plate with heat source, reacting species, and thermal and mass transfer gradients effects. Usually, the problem of flow through porous media is examined using the Boussinesq’s approximations. The governing nonlinear partial differential equations are coupled and complex. Making them tractable, they are linearized into a set of ordinary differential equations using the similarity transform. The evolving set of ordinary differential equations is solved numerically using the fifth-order Runge-Kutta Fehlberg Method and Maple 21 mathematical computational software. The results obtained for the concentration, temperature, and velocity are presented graphically. The analysis of results shows, amongst others, that an increase in the magnetic field parameter increases the temperature and concentration, but decreases the velocity of the fluid; an increase in the Biot number increases the temperature, concentration, and velocity of the fluid; an increases in the concentration difference parameter increases the temperature, but decreases the concentration and velocity of the fluid; an increase in the Eckert number increases the concentration, but decreases the temperature and velocity of the fluid.
VL  - 9
IS  - 1
ER  -

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