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Analytical Investigation of Flow of a Micropolar Fluid Between Disks with Vertical Magnetic Field

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Abstract

Analytical investigation is held on the steady and axisymmetric flow model in a porous medium containing a micropolar fluid between two disks. Using the proper similarity transformation, the system of velocity and microrotation partial differential equations is transformed into a non-dimensional form. The differential transform technique, which produces an output in the form of a series, is used to determine the estimated solution to these equations. On this spot, there is a detailed discussion and visual representation of how the micropolar parameter, Reynolds number, and magnetic field parameter affect the velocity and microrotation profiles. The numerical values of couple stress and the skin friction are compared to data that have already been published. The findings produced by DTM are compared with the data acquired by numerical techniques to verify the method’s correctness and validity. It can be found that the behavior of the microrotation profile is very close to the normal graph from the lower to the upper disk. The magnetic field effect will assist in improving the performance of oil extraction drilling systems used in mining industry and the other geothermal applications.

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  1. University of Petroleum and Energy Studies, Dehradun, UK, India

    Reshu Gupta

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Gupta, R. Analytical Investigation of Flow of a Micropolar Fluid Between Disks with Vertical Magnetic Field. Int. J. Appl. Comput. Math 10, 91 (2024). https://doi.org/10.1007/s40819-023-01674-5

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