Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction

Golbert Aloliga; Isaac Azuure

doi:doi:10.11648/j.fm.20200602.12

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Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction

Golbert Aloliga, Isaac Azuure

Published in Fluid Mechanics (Volume 6, Issue 2)

Received: 14 December 2019 Accepted: 30 December 2019 Published: 27 August 2020

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Abstract

The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady two-dimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.

Published in	Fluid Mechanics (Volume 6, Issue 2)
DOI	10.11648/j.fm.20200602.12
Page(s)	51-61
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

Viscoelastic Fluids, Mass Transfer, Non-newtonian Fluid, Stretching Surfaces, Suction

References

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APA Style

Golbert Aloliga, Isaac Azuure. (2020). Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mechanics, 6(2), 51-61. https://doi.org/10.11648/j.fm.20200602.12

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ACS Style

Golbert Aloliga; Isaac Azuure. Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mech. 2020, 6(2), 51-61. doi: 10.11648/j.fm.20200602.12

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AMA Style

Golbert Aloliga, Isaac Azuure. Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mech. 2020;6(2):51-61. doi: 10.11648/j.fm.20200602.12

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@article{10.11648/j.fm.20200602.12,
  author = {Golbert Aloliga and Isaac Azuure},
  title = {Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction},
  journal = {Fluid Mechanics},
  volume = {6},
  number = {2},
  pages = {51-61},
  doi = {10.11648/j.fm.20200602.12},
  url = {https://doi.org/10.11648/j.fm.20200602.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20200602.12},
  abstract = {The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady two-dimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.},
 year = {2020}
}

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TY  - JOUR
T1  - Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction
AU  - Golbert Aloliga
AU  - Isaac Azuure
Y1  - 2020/08/27
PY  - 2020
N1  - https://doi.org/10.11648/j.fm.20200602.12
DO  - 10.11648/j.fm.20200602.12
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 51
EP  - 61
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20200602.12
AB  - The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady two-dimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.
VL  - 6
IS  - 2
ER  -

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Author Information

Golbert Aloliga

Department of Mathematics, St Vincent College of Education, Tamale, Ghana
Isaac Azuure

Department of Computer Science, Regentropfen College of Applied Sciences, Bolga, Ghana

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Plain Text BibTeX RIS

APA Style

Golbert Aloliga, Isaac Azuure. (2020). Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mechanics, 6(2), 51-61. https://doi.org/10.11648/j.fm.20200602.12

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ACS Style

Golbert Aloliga; Isaac Azuure. Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mech. 2020, 6(2), 51-61. doi: 10.11648/j.fm.20200602.12

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AMA Style

Golbert Aloliga, Isaac Azuure. Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction. Fluid Mech. 2020;6(2):51-61. doi: 10.11648/j.fm.20200602.12

Copy | Download

@article{10.11648/j.fm.20200602.12,
  author = {Golbert Aloliga and Isaac Azuure},
  title = {Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction},
  journal = {Fluid Mechanics},
  volume = {6},
  number = {2},
  pages = {51-61},
  doi = {10.11648/j.fm.20200602.12},
  url = {https://doi.org/10.11648/j.fm.20200602.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20200602.12},
  abstract = {The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady two-dimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction
AU  - Golbert Aloliga
AU  - Isaac Azuure
Y1  - 2020/08/27
PY  - 2020
N1  - https://doi.org/10.11648/j.fm.20200602.12
DO  - 10.11648/j.fm.20200602.12
T2  - Fluid Mechanics
JF  - Fluid Mechanics
JO  - Fluid Mechanics
SP  - 51
EP  - 61
PB  - Science Publishing Group
SN  - 2575-1816
UR  - https://doi.org/10.11648/j.fm.20200602.12
AB  - The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady two-dimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.
VL  - 6
IS  - 2
ER  -

Copy | Download