Magneto-hydrodynamics based microfluidics

Sub-Fluid Models in Dissipative Magneto-Hydrodynamics

Relativistic Conformal Magneto-Hydrodynamics from Holography

We use the AdS/CFT correspondence to study first-order relativistic viscous magnetohydrodynamics of (2+1) dimensional conformal magnetic fluids. It is shown that the first order magneto-hydrodynamics constructed following Landau and Lifshitz from the positivity of the entropy production is inconsistent. We propose additional contributions to the entropy motivated dissipative current and, corres...

Magneto-Hydrodynamics of Population III Star Formation

Jet driving and fragmentation process in collapsing primordial cloud are studied using three-dimensional MHD nested grid simulations. Starting from a rotating magnetized spherical cloud with the number density of nc ≃ 10 cm, we follow the evolution of the cloud up to the stellar density nc ≃ 10 cm. We calculate 36 models parameterizing the initial magnetic and rotational energies (γ0, β0). In t...

Metriplectic framework for dissipative magneto-hydrodynamics

The metriplectic framework, which allows for the formulation of an algebraic structure for dissipative systems, is applied to visco-resistive Magneto-Hydrodynamics (MHD), adapting what had already been done for non-ideal Hydrodynamics (HD). The result is obtained by extending the HD symmetric bracket and free energy to include magnetic …eld dynamics and resistive dissipation. The correct equati...

Adaptive Mesh Refinement and its Application to Magneto-Hydrodynamics

In this paper we present three improvements over the BergerColella’s adaptive mesh refinement (AMR) approach: adaptive clustering algorithm, conservative prolongation and restriction for cylindrical and spherical grid, and divergence-free reconstruction for AMR.