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MHD micropolar fluid flow with thermal radiation and thermal diffusion in a rotating frame

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Abstract

This work is devoted to investigate the influences of thermal radiation and thermal diffusion on hydromagnetic free convection heat and mass transfer flow of a micropolar fluid with constant wall heat and mass transfer in a porous medium bounded by a semi-infinite porous plate in a rotating frame of reference. The dimensionless governing equations for this investigation are solved analytically using small perturbation approximation. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, microrotation, temperature, and concentration fields within the boundary layer are separately discussed. Finally the effects of the pertinent parameters on the skin friction coefficient, couple stress coefficient, Nusselt number, and Sherwood number at the wall are presented numerically in tabular form. In addition, the results obtained show that these parameters have significant influence on the flow, heat and mass transfer.

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Acknowledgments

The authors wish to express their cordial thanks to reviewers for valuable suggestions and comments to improve the presentation of this article.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, WB, India

    Prabir Kumar Kundu & S. Jana

  2. Department of Mathematics, Kalyani Government Engineering College, Kalyani, WB, 741235, India

    Kalidas Das

Authors
  1. Prabir Kumar Kundu
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  2. Kalidas Das
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  3. S. Jana
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Correspondence to Kalidas Das.

Additional information

Communicated by Syakila Ahmad.

Appendix

Appendix

$$\begin{aligned} m_1&= \frac{SSc+\surd \left\{ (SSc)^2+4\alpha Sc\right\} }{2},\quad m_2=\frac{3SPr+\surd \left\{ (3SPr)^2+12Q(3+4F)\right\} }{2(3+4F)},\\ m_3&= \frac{S+\surd \left\{ S^2+4a_1(1+\Delta )\right\} }{2(1+\Delta )},\quad m_4=\frac{S+\surd \left\{ S^2+4in\lambda \right\} }{2\lambda },\\ m_5&= \frac{S+\surd \left\{ S^2+4a_2(1+\Delta )\right\} }{2(1+\Delta )},\quad m_6=\frac{S+\surd \left\{ S^2-4in\lambda \right\} }{2\lambda },\\ m_7&= \frac{S+\surd \left\{ S^2+4a_3(1+\Delta )\right\} }{2(1+\Delta )},\\ A_1&= -\frac{Gm}{(1+\Delta )m_1^2-Sm_1-a_1}\left\{ \frac{1}{m_1}+\frac{m_2Sr}{m_1(m_2-SSc)}\right\} ,\\ \end{aligned}$$
$$\begin{aligned} A_2&= \frac{1}{(1+\Delta )m_2^2-Sm_2-a_1}\left\{ \frac{GmSr}{m_2-SSc}-\frac{Gr}{m_2}\right\} ,\\ A_3&= 1-A_1-A_2-A_4, A_4=\frac{\Delta S\lambda \left\{ A_1(m_1-m_3)+A_2(m_2-m_3)+m_3\right\} }{(2+\Delta )S^2-2\lambda (S^2+a_1\lambda )+\Delta Sm_3\lambda },\\ A_5&= -\frac{\Delta m_4m_5}{(2+\Delta )m_4^2-2(Sm_4+a_2)+\Delta m_4m_5}, A_6=1-A_5, \\ A_7&= -\frac{\Delta m_6m_7}{(2+\Delta )m_6^2-2(Sm_6+a_3)+\Delta m_6m_7},\\ A_8&= 1-A_7,\\ B_1&= \frac{i\left\{ A_1(m_3-m_1)+A_2(m_3-m_2)-m_3\right\} \left\{ (1+\Delta )S^2-\lambda S^2-a_1\lambda ^2\right\} }{(2+\Delta )S^2-2\lambda (S^2+a_1\lambda )+\Delta Sm_3\lambda },\\ B_2&= \frac{im_5\left\{ (1+\Delta )m_4^2-Sm_4-a_2\right\} }{(2+\Delta )m_4^2-2(Sm_4+a_2)+\Delta m_4m_5}, \\ B_3&= \frac{im_7\left\{ (1+\Delta )m_6^2-Sm_6-a_3\right\} }{(2+\Delta )m_6^2-2(Sm_6+a_3)+\Delta m_6m_7} \end{aligned}$$

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Kundu, P.K., Das, K. & Jana, S. MHD micropolar fluid flow with thermal radiation and thermal diffusion in a rotating frame. Bull. Malays. Math. Sci. Soc. 38, 1185–1205 (2015). https://doi.org/10.1007/s40840-014-0061-5

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  • DOI: https://doi.org/10.1007/s40840-014-0061-5

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