एप्लाइड और कम्प्यूटेशनल गणित जर्नल

The Stability of a Oscillating Rotating Streaming Fluid Jet with an Self-Gravitating Force

Abstract

Hamdy M. Barakat*

The stability of a oscillating rotating streaming fluid jet with an self-gravitating force is discussed. The problem is formulated and the basic equations are solved. A general Eigen-value relation is derived studied analytically and results are confirmed numerically. The fluid jet is purely stable in the non-ax symmetric perturbation while in the ax symmetric mode it is unstable for small wave number. The streaming has the effect of reducing the stable states not only in the ax symmetric mode but also in those of non-ax symmetric. The self-gravitating force is destabilizing only in the symmetric mode (m=0) for a small range of wave numbers, but it is stabilizing for all other perturbation. This phenomenon is interest, academically and during the geological drilling in the crust of the earth as we have superposed gas-oil layer mixture fluids. The stability behavior of the model comes after destabilizing behavior of the model when it be reduced and suppressed.