Magnetogravitodynamic Stability of Three Dimensional Streaming Velocities of Fluid Cylinder under the Effect of Capillary Force

The magnetohydrodynamic stability in a uniform cylinder of an incompressible inviscid fluid under the effect of self-gravitating, magnetic field and capillary forces is studied. The obtanined results were studied theoretically and numerically. The dispersion relationship was obtained and the effect of the different parameters had been discussed. The behavior of the system in terms of whether stable or unstable had been studied. The uniform streaming has a destabiliizing influence. We observe that the system gives an unstable situation where the streaming fluid under the effect of the capillary force and in the absence of the magnetic field. Also, the system gives an unstable situation where the streaming fluid under the effect of the self-gravitating and magnetic forces. But the system be more stable and the stability zone increase if the streaming fluid under the effect of the self-gravitating, magnetic and capillary forces. The curves are drawn to illustrate the areas of stability and instability.