A Semi Analytical Study on Non-Linear Boundary Value Problem for MHD Fluid Flow with Chemical Effect

Document Type : Full Length Research Article

Authors

1 Department of Mathematics, V. H. N. Senthikumara Nadar College (Affiliated to Madurai Kamaraj University), Virudhunagar, Tamil Nadu, India

2 Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

Abstract

The Runge-Kutta method combined with the shooting technique is used to solve the numerical results of the theoretical model for the electrically conducting micropolar fluid through two parallel plates in the presence of a heat source or sink and first-order chemical reactions in the flow heat and mass transfer equations. This work encourages us to use the Homotopy analysis approach to develop semi-analytical solutions for dimensionless velocity, dimensionless microrotation, dimensionless temperature, and dimensionless concentration. The answers are used to produce the analytical approximations of the physical characteristics, such as the skin friction factor, Nusselt number, and Sherwood number. Additionally, tabular values for the physical parameters, such as the skin friction factor, Nusselt number, and Sherwood number, are provided. Graphs are also used to illustrate how characterizing parameters behave. We found a high correlation between the semi-analytical and numerical findings of this study when we compared our semi-analytical works with the earlier studies. Compared to the prior method, this approach to the model is simpler, and it may be readily extended to find semi-analytical solutions to other MHD and EMHD fluid flow issues in the physical sciences and engineering.

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Main Subjects

References

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History

  • Receive Date: 20 December 2023
  • Revise Date: 18 June 2024
  • Accept Date: 18 June 2024

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