The analysis of mass and heat transfer in magnetohydrodynamic (MHD) flows has significant applications exchangers, cooling nuclear reactors, designing energy systems casting injection processes different types fluids. On the other hand, extraction crude oil, flow human or animal blood, as well polymer fluids liquid crystals are just some examples micropolar fluid flows. Due to broad application...

In this paper we present an analytical study of a subgrid scale turbulence model of the threedimensional magnetohydrodynamic (MHD) equations, inspired by the Navier-Stokes-α (also known as the viscous Camassa-Holm equations or the Lagrangian-averaged Navier-Stokes-α model. Specifically, we show the global well-posedness and regularity of solutions of a certain MHD-α model (which is a particular...

Linear relativistic anisotropic magnetohydrodynamic waves are investigated for an Imperfect fluid. Consideration is carried out for the plasma with finite bulk viscosity. Conditions for growth and decay of these waves are obtained in special cases of isotropy and ChewGoldberger-Low (CGL) state. PACS number(s):51.20+d; 52.25.Xz;52.27.Ny;52.35.Bj ∗E–mail: [email protected] 1

Recent work has shown a relationship between between the equations of Reduced Magnetohydrodynamics (RMHD), used to model magnetic fusion laboratory experiments, and incompressible magnetoconvection (IMC), employed in the simulation of astrophysical fluid dynamics (AFD), which means that the two systems are mathematically equivalent in certain geometries. Limitations on the modelling of RMHD, wh...

We consider magnetohydrodynamic (MHD) flows in a conducting rectangular duct with a non-conducting flow channel insert (FCI) in a constant transverse magnetic field. The computations based on the fully developed flow model are performed for three FCI modifications: (i) without pressure equalization openings, (ii) with the pressure equalization slot (PES) in the FCI wall parallel and (iii) perpe...