Magneto-Hydrodynamics (MHD)

Liquid Metals

We analyze the flow of room and near room-temperature liquid metals in shallow, long rectangular conduits with two insulating and two perfectly conducting walls under a uniform magnetic field perpendicular to the flow direction and the insulating surfaces, focusing on moderate Hartmann numbers. A pressure gradient and Lorentz body forces may drive or oppose the flow. We derive explicit expressions for the Onsager coefficients that relate the flow rate and electric current on the one hand to the potential difference across electrodes and the pressure gradient on the other hand. We further demonstrate that these coefficients satisfy Onsager-Casimir reciprocity. These simplified expressions provide a convenient framework for analyzing, optimizing, and controlling magnetohydrodynamic (MHD) machines operating with liquid metals in applications such as power conversion, energy harvesting, pumping, actuation, valving, breaking, and sensing without moving components.

2025 Onsager Coefficients for Liquid Metal Flow in a Conduit under a Magnetic Field

Electrolytes

Electrolytes are electrically conducting fluids composed of ions dissolved in a solvent, typically water or molten salts. In the context of magneto-hydrodynamics (MHD), electrolytes conduct electricity through the movement of these charged ions rather than free electrons, as in liquid metals. When an electric current passes through an electrolyte in the presence of a magnetic field, Lorentz forces act on the ionic motion, influencing the flow behavior of the fluid. Although electrolytes generally have lower electrical conductivity than liquid metals, they are easier to handle and can be used to demonstrate fundamental MHD principles such as flow control, electromagnetic pumping, and induced circulation. Common examples include saline solutions, molten salts, and acid–base electrolytes used in electrochemical and energy conversion systems.

2022 Applications Of Magneto Electrochemistry And Magnetohydrodynamics In Microfluidics

2012 Magnetohydrodynamic Flow Of A Binary Electrolyte In A Concentric Annulus

2011 When MHD-Based Microfluidics Is Equivalent To Pressure-Driven Flow

2009 Magneto-Hydrodynamics Based Microfluidics

2006 Electrochemical Reaction With Redox In Toroidal Conduits In The Presence Of Natural Convection

2005 Magneto-Hydrodynamic Flow Of Redox Electrolyte

2002 A Stirrer For Magnetohydrodynamically Controlled Minute Fluidic Networks

2002 A Magneto-Hydrodynamics (MHD) Pump Fabricated With Ceramic Tapes

2002 A Magneto-Hydrodynamic Chaotic Stirrer

2001 A Minute Magneto Hydro Dynamic (MHD) Mixer