Secondary Flow for Slow Rotation of a Pervious Sphere with Source at its Centre in a Viscous Fluid

Mukesh Awasthi (1), Naveen Mani (2), Amit Sharma (3), Rahul Shukla (4)
(1) Faculty of Mathematical and Statistical Sciences, Shri Ramswaroop Memorial University, India,
(2) Department of Mathematics, Chandigarh University, India,
(3) Department of Mathematics, Amity University Haryana, India,
(4) Department of Mathematical Sciences and Computing, Walter Sisulu University, South Africa

Abstract

In this paper, the problem of secondary motion of fluid in region between two concentric spheres are studied. Navier Stokes equations are employed to obtain the flow field, and the components of velocity for primary and secondary flow, stream function are obtained. Further, two particular cases are deduced and discussed for the radius of cavity. Finally, Equi-pressure lines, streamlines, and vortex lines are constructed to visually demonstrate the impact of different factors on the flow pattern.

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Authors

Mukesh Awasthi
Naveen Mani
Amit Sharma
Rahul Shukla
rshukla@wsu.ac.za (Primary Contact)
Awasthi, M., Mani, N., Sharma, A., & Shukla, R. (2025). Secondary Flow for Slow Rotation of a Pervious Sphere with Source at its Centre in a Viscous Fluid. Journal of the Indonesian Mathematical Society, 31(3), 1889. https://doi.org/10.22342/jims.v31i3.1889

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