We deal with the stability of a self-gravitating rotating oscillating streaming fluid jet. The problem is stated and the underlying equations are solved. The results of an analytically investigated broad eigenvalue relation are numerically confirmed. The fluid jet is strictly in non-ax symmetric disturbances, but unstable in ax symmetric disturbances for tiny number waves. Not only does streaming reduce the ax symmetric mode, but it also reduces the non-ax symmetric stable states. The self-gravitating force is only destabilizing in the symmetric mode (m = 0) for a restricted range of wave numbers, but it is stabilizing for all other disturbances.

incompressible inviscid fluids, hydrodynamic stability, rotating fluids.

Received: November 22, 2021; Accepted: December 24, 2021; Published: February 3, 2022

How to cite this article: Hamdy M. Barakat, The stability of a self-gravitating force on a revolving oscillating fluid streaming jet, Advances and Applications in Fluid Mechanics 28 (2022), 1-10. DOI: 10.17654/0973468622001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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