Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, May 28, 2021 - 12:25 to 13:00

Magnetohydrodynamics (MHD) is the study of a charged medium flowing through a magnetic field. By artificially generating a plasma and applying a magnetic field, an electric field and current arise. Understanding this generation of power consists of solving stationary Maxwell's equations, coupled with the generalized Ohm's law. Introducing the ion-slip term into the generalized Ohm's law, and coupling Maxwell's equations results in a non-linear system of PDE's. Using a matrix representation of the cross-product, an explicit form of Ohm's law is presented. Well-posedness of both the forward problem and the inverse problem, with a parameter set consisting of the fluid flow, conductivity, applied magnetic field, hall parameter, and ion-slip parameter has been established. Numerical implementation of the governing equations is discussed, utilizing COMSOL, an engineering computational software. Here, COMSOL applies finite element techniques to complex geometry, with electrodes and loads both included in the full 3-D model. Finally, validation of this model is discussed, using ideal power equations derived from Rosa's equations.