Aims. The aim of this paper is to study the vertical profile of small dust particles in protoplanetary discs in which angular momentum transport is due to MHD turbulence driven by the magnetorotational instability. We consider particle sizes that range from approximately 1 micron up to a few millimeters. Methods. We use a grid–based MHD code to perform global two-fluid simulations of turbulent ...

Abstract This communication presents a comparative analysis of two-dimensional cross flow non-Newtonian fluid with heat and mass transfer is presented in this article. Eyring-Powell chosen as the main carrier nano species through uniform horizontal channel. Effects suction are also taken into account by placing porous walls. Main source motion upper plate that moves constant velocity axial dire...

This investigation presents a mathematical model describing the momentum, heat and mass transfer characteristics of magnetohydrodynamic MHD flow and heat generating/absorbing fluid near a stagnation point of an isothermal two-dimensional body of an axisymmetric body. The fluid is electrically conducting in the presence of a uniform magnetic field. The series solution is obtained for the resulti...

Theoretical approaches to low-frequency magnetized turbulence in collisionless and weakly collisional astrophysical plasmas are reviewed. The proper starting point for an analytical description of these plasmas is kinetic theory, not fluid equations. The anisotropy of the turbulence is used to systematically derive a series of reduced analytical models. Above the ion gyroscale, it is shown rigo...

The principle of local gauge invariance is introduced in the study of the Hamiltonian dynamics of a compressible inviscid fluid. In the first part of the paper, a novel gauging of the global symmetries is proposed which is both non-minimal and non-linear. The resulting MHD is analysed in detail. In the second part, the free fluid model is embedded in an extended space in the Batalin-Tyutin fram...

In this reminiscence I discuss the influence of Henry Eyring and John Barker upon my life and work. Others, especially my family, have been of even greater personal influence. However, these two great and grand men were of tremendous scientific influence. Of course, others who came before Eyring and Barker, especially Boltzmann and van der Waals and later Onsager and Eyring’s contemporary, Kirk...

Lagrangian symmetries and concomitant generalized Bianchi identities associated with the relabeling of fluid elements are found for hydrodynamics and magnetohydrodynamics (MHD). In hydrodynamics, relabeling results in Ertel's theorem of conservation of potential vorticity, while in MHD it yields the conservation of cross helicity. The symmetries of the reduction from Lagrangian (material) to Eu...

We study the MHD boundary layer flow of an incompressible viscous fluid over a continuously stretching sheet using more suggestive schemes. The fast convergent Dirichlet series solution of governing nonlinear differential equation of MHD flow over nonlinear stretching sheet is obtained. This method has advantages over pure numerical methods in obtaining the derived quantities accurately for var...

Space plasma simulations have seen an increase in the use of magnetohydrodynamic (MHD) with embedded Particle-in-Cell (PIC) models. This combined MHD-EPIC algorithm simulates some regions interest using kinetic PIC method while employing MHD description rest domain. The models are highly efficient and their fluid descriptions valid for most part computational domain, thus making large-scale glo...