MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction

Muhammad Ramzan; Ahmad Shafique; Mudassar Nazar

doi:doi:10.11648/j.ijtam.20220802.11

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MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction

Muhammad Ramzan, Ahmad Shafique, Mudassar Nazar

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

Received: 26 January 2022 Accepted: 2 March 2022 Published: 18 March 2022

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Abstract

The objective of this paper is to analyze the influence of thermo-diffusion on magnetohydrodynamics (MHD) flow of fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used in the problem. More exactly, the fractional model has been developed using the generalized Fick’s and Fourier’s laws. The Caputo-Fabrizio (CF) fractional derivative has been used to solved the model. Initially, the flow modeled system of partial differential equations are transformed into dimensional form through suitable dimensionless variable and then Laplace transform technique has been used to solved the set of dimensionless governing equations for velocity profile, temperature profile, and concentration profile. The influence of different parameters like diffusion-thermo, fractional parameter, magnetic field, chemical reaction, heat obsorption, Schmidt number, time, Prandtl number and second grade parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number, Prandtl number, magnetic parameter, and chemical reaction, whereas velocity field decreases with decreasing values of diffusion-thermo and mass grashof number. In order to check the athenticity of present work, we compare the present work with already published model graphically.

Published in	International Journal of Theoretical and Applied Mathematics (Volume 8, Issue 2)
DOI	10.11648/j.ijtam.20220802.11
Page(s)	30-39
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

Free Convection, Chemical Reaction, Diffusion-thermo, Magnetic Field

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APA Style

Muhammad Ramzan, Ahmad Shafique, Mudassar Nazar. (2022). MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. International Journal of Theoretical and Applied Mathematics, 8(2), 30-39. https://doi.org/10.11648/j.ijtam.20220802.11

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ACS Style

Muhammad Ramzan; Ahmad Shafique; Mudassar Nazar. MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. Int. J. Theor. Appl. Math. 2022, 8(2), 30-39. doi: 10.11648/j.ijtam.20220802.11

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AMA Style

Muhammad Ramzan, Ahmad Shafique, Mudassar Nazar. MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. Int J Theor Appl Math. 2022;8(2):30-39. doi: 10.11648/j.ijtam.20220802.11

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@article{10.11648/j.ijtam.20220802.11,
  author = {Muhammad Ramzan and Ahmad Shafique and Mudassar Nazar},
  title = {MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {8},
  number = {2},
  pages = {30-39},
  doi = {10.11648/j.ijtam.20220802.11},
  url = {https://doi.org/10.11648/j.ijtam.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20220802.11},
  abstract = {The objective of this paper is to analyze the influence of thermo-diffusion on magnetohydrodynamics (MHD) flow of fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used in the problem. More exactly, the fractional model has been developed using the generalized Fick’s and Fourier’s laws. The Caputo-Fabrizio (CF) fractional derivative has been used to solved the model. Initially, the flow modeled system of partial differential equations are transformed into dimensional form through suitable dimensionless variable and then Laplace transform technique has been used to solved the set of dimensionless governing equations for velocity profile, temperature profile, and concentration profile. The influence of different parameters like diffusion-thermo, fractional parameter, magnetic field, chemical reaction, heat obsorption, Schmidt number, time, Prandtl number and second grade parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number, Prandtl number, magnetic parameter, and chemical reaction, whereas velocity field decreases with decreasing values of diffusion-thermo and mass grashof number. In order to check the athenticity of present work, we compare the present work with already published model graphically.},
 year = {2022}
}

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TY  - JOUR
T1  - MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction
AU  - Muhammad Ramzan
AU  - Ahmad Shafique
AU  - Mudassar Nazar
Y1  - 2022/03/18
PY  - 2022
N1  - https://doi.org/10.11648/j.ijtam.20220802.11
DO  - 10.11648/j.ijtam.20220802.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 30
EP  - 39
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20220802.11
AB  - The objective of this paper is to analyze the influence of thermo-diffusion on magnetohydrodynamics (MHD) flow of fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used in the problem. More exactly, the fractional model has been developed using the generalized Fick’s and Fourier’s laws. The Caputo-Fabrizio (CF) fractional derivative has been used to solved the model. Initially, the flow modeled system of partial differential equations are transformed into dimensional form through suitable dimensionless variable and then Laplace transform technique has been used to solved the set of dimensionless governing equations for velocity profile, temperature profile, and concentration profile. The influence of different parameters like diffusion-thermo, fractional parameter, magnetic field, chemical reaction, heat obsorption, Schmidt number, time, Prandtl number and second grade parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number, Prandtl number, magnetic parameter, and chemical reaction, whereas velocity field decreases with decreasing values of diffusion-thermo and mass grashof number. In order to check the athenticity of present work, we compare the present work with already published model graphically.
VL  - 8
IS  - 2
ER  -

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Author Information

Muhammad Ramzan

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
Ahmad Shafique

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
Mudassar Nazar

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

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Plain Text BibTeX RIS

APA Style

Muhammad Ramzan, Ahmad Shafique, Mudassar Nazar. (2022). MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. International Journal of Theoretical and Applied Mathematics, 8(2), 30-39. https://doi.org/10.11648/j.ijtam.20220802.11

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ACS Style

Muhammad Ramzan; Ahmad Shafique; Mudassar Nazar. MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. Int. J. Theor. Appl. Math. 2022, 8(2), 30-39. doi: 10.11648/j.ijtam.20220802.11

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AMA Style

Muhammad Ramzan, Ahmad Shafique, Mudassar Nazar. MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction. Int J Theor Appl Math. 2022;8(2):30-39. doi: 10.11648/j.ijtam.20220802.11

Copy | Download

@article{10.11648/j.ijtam.20220802.11,
  author = {Muhammad Ramzan and Ahmad Shafique and Mudassar Nazar},
  title = {MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction},
  journal = {International Journal of Theoretical and Applied Mathematics},
  volume = {8},
  number = {2},
  pages = {30-39},
  doi = {10.11648/j.ijtam.20220802.11},
  url = {https://doi.org/10.11648/j.ijtam.20220802.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20220802.11},
  abstract = {The objective of this paper is to analyze the influence of thermo-diffusion on magnetohydrodynamics (MHD) flow of fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used in the problem. More exactly, the fractional model has been developed using the generalized Fick’s and Fourier’s laws. The Caputo-Fabrizio (CF) fractional derivative has been used to solved the model. Initially, the flow modeled system of partial differential equations are transformed into dimensional form through suitable dimensionless variable and then Laplace transform technique has been used to solved the set of dimensionless governing equations for velocity profile, temperature profile, and concentration profile. The influence of different parameters like diffusion-thermo, fractional parameter, magnetic field, chemical reaction, heat obsorption, Schmidt number, time, Prandtl number and second grade parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number, Prandtl number, magnetic parameter, and chemical reaction, whereas velocity field decreases with decreasing values of diffusion-thermo and mass grashof number. In order to check the athenticity of present work, we compare the present work with already published model graphically.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - MHD Flow of Second Grade Fluid with Heat Absorption and Chemical Reaction
AU  - Muhammad Ramzan
AU  - Ahmad Shafique
AU  - Mudassar Nazar
Y1  - 2022/03/18
PY  - 2022
N1  - https://doi.org/10.11648/j.ijtam.20220802.11
DO  - 10.11648/j.ijtam.20220802.11
T2  - International Journal of Theoretical and Applied Mathematics
JF  - International Journal of Theoretical and Applied Mathematics
JO  - International Journal of Theoretical and Applied Mathematics
SP  - 30
EP  - 39
PB  - Science Publishing Group
SN  - 2575-5080
UR  - https://doi.org/10.11648/j.ijtam.20220802.11
AB  - The objective of this paper is to analyze the influence of thermo-diffusion on magnetohydrodynamics (MHD) flow of fractional second grade fluid immersed in a porous media over an exponentially accelerated vertical plate. In addition, other factors such as heat absorption and chemical reaction are used in the problem. More exactly, the fractional model has been developed using the generalized Fick’s and Fourier’s laws. The Caputo-Fabrizio (CF) fractional derivative has been used to solved the model. Initially, the flow modeled system of partial differential equations are transformed into dimensional form through suitable dimensionless variable and then Laplace transform technique has been used to solved the set of dimensionless governing equations for velocity profile, temperature profile, and concentration profile. The influence of different parameters like diffusion-thermo, fractional parameter, magnetic field, chemical reaction, heat obsorption, Schmidt number, time, Prandtl number and second grade parameter are discussed through numerous graphs. From figures, it is observed that fluid motion decreases with increasing values of Schmidt number, Prandtl number, magnetic parameter, and chemical reaction, whereas velocity field decreases with decreasing values of diffusion-thermo and mass grashof number. In order to check the athenticity of present work, we compare the present work with already published model graphically.
VL  - 8
IS  - 2
ER  -

Copy | Download