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

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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Cite This Article
  • 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
  • Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

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

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

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