
Hydromagnetic stability of selfgravitating fluid cylinder
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Here in we follow the concept of stability which is given by Chandrasekhar (1981). Suppose that we have a hydrodynamic system which is in a stationary state, i.e. in a state in which none of the variables describing it is a function of time (whether it is initially at rest or streaming). Let be a set of parameters which define this system. These parameters will include geometrical parameters such as the dimensions of the system; parameters characterizing the velocity of the fluid; parameters characterizing the forces which may be acting on the system, such as electromagnetic forces, pressure g...
Here in we follow the concept of stability which is given by Chandrasekhar (1981). Suppose that we have a hydrodynamic system which is in a stationary state, i.e. in a state in which none of the variables describing it is a function of time (whether it is initially at rest or streaming). Let be a set of parameters which define this system. These parameters will include geometrical parameters such as the dimensions of the system; parameters characterizing the velocity of the fluid; parameters characterizing the forces which may be acting on the system, such as electromagnetic forces, pressure gradient, temperature gradient,¿.etc.