Transport of angular momentum is one of the thrust areas of astrophysical flows. Instabilities and hence the turbulence generated by it has been invoked to understand its role in angular momentum transport in hydrodynamic and magnetohydrodynamic regime. Investigation of an unexplored region described by the parameter space Ω e < 0, Ωe being the epicyclic frequency, resulted in a powerful magnet...

A complete analytical and numerical treatment of all magnetohydrodynamic waves and instabilities for radially stratified, magnetized accretion disks is presented. The instabilities are a possible source of anomalous transport. While recovering results on known hydrodynamic and both weak-and strong-field mag-netohydrodynamic perturbations, the full magnetohydrodynamic spectra for a realistic acc...

The shallow water magnetohydrodynamic system describes the thin layer evolution of the solar tachocline. It is obtained from the three dimensional incompressible magnetohydrodynamic system similarly as the classical shallow water system is obtained from the incompressible NavierStokes equations. The system is hyperbolic and has two additional waves with respect to the shallow water system, the ...

We derive the closed system of averaged magnetohydrodynamic (MHD) equations for general oscillating flows. The used small parameter of our asymptotic theory is the dimensionless inverse frequency, and the leading term for a velocity field is chosen to be purely oscillating. The employed mathematical approach combines the twotiming method and the notion of a distinguished limit. The properties o...

This paper investigates thermoelectric interface demarcation during directional solidi cation of Bismuth with varying gravitationally-dependent buoyancy convection. A physicsbased computer model is developed in which gravitational, thermoelectric and magnetohydrodynamic e ects are included. To help design our ongoing experimental tests, numerical simulations of directional solidi cation in a Br...

In this paper we derive a criterion for the breakdown of classical solutions to the incompressible magnetohydrodynamic equations with zero viscosity and positive resistivity in R3. This result is analogous to the celebrated Beale-KatoMajda’s breakdown criterion for the inviscid Eluer equations of incompressible fluids. In R2 we establish global weak solutions to the magnetohydrodynamic equation...

of the Dissertation Experimental Investigation of Magnetohydrodynamic Flow For An Intense Proton Target

This article presents the exact solutions of the velocity and temperature fields for a steady fully developed magnetohydrodynamic flow of a viscous incompressible and electrically conducting fluid between two horizontal concentric cylinders. Our study focuses on the influence of the Hartmann number, Brinkman number, Péclet number and inner radius on the fluid temperature field, entropy generati...

The stability of magnetohydrodynamic flow in a duct with perfectly conducting walls is investigated in the presence of a homogeneous and constant static magnetic field. The temporal growth and spatial distribution of perturbations are obtained by solving iteratively the direct and adjoint governing equations with respect of perturbations, based on nonmodal stability theory. The effect of the ap...