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Author(s): Godwin Ojemeri , Onwubuya I. O., Gyegwe G. T..

Volume/Issue: Volume 7 , Issue 3 (2024)

Abstract:

Casson fluids is commonly used in many notable technological and industrial properties, such as synthetic lubricants, specific oil paints, biological fluids, diverse polymer solutions to mention few. The Casson fluid is considered to be one of the most prominent types of fluids within the category of non-Newtonian substances. The impact of Casson fluid impact on hydromagnetic oscillatory flow along a permeable plate immersed in porous medium is investigated in the optically thin thermal radiation regime. The solutions of the dimensionless equations have been obtained. In view of the assumed oscillatory pressure gradient, the resultant linear partial differential equations were reduced to a boundary-valued-problem where the unsteady flow is superimposed on the mean steady flow. The influence of controlling parameters dictating the flow behaviour have been demonstrated graphically and explained thoroughly. It is revealed from the computational analysis that the function of Casson fluid parameter is to diminish the fluid velocity. Additionally, the skin friction is increased at both walls as the suction/injection parameter is increased. Interestingly, the results obtained for limiting case in this research is consistent with previous literature, thereby establishing the accuracy and validity of the current investigation.

Keywords:

Casson parameter, Oscillatory flow, Magnetic field, Darcy porous medium, Slip parameter.

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