The computational domains and boundary conditions. To determine the right combination of products for your modeling needs, review the Tabella delle Funzionalit and make use of a free . The solution time will be greatly reduced when solving this simplified case, as compared to the fully coupled case, since the physics equations are solved separately and the software does not need to iterate between them. Induction pumps are used in high temperature cooling systems. The domains representing the electrodes must extend all the way to the boundary of the modeling domain, touching the Magnetic Insulation boundaries, to provide a current return path. The magnets set up a static magnetic field, \mathbf{B}, such that the fluid with conductivity, \sigma, moving with a velocity, \mathbf{v}, through this field will experience induced currents of \mathbf{J} = \sigma \left( \mathbf{v \times B}\right) . Can you help me? I would like to share my experience of using COMSOL to analyze the tokamak start-up physics, in particular the ECRH assisted plasma pre-ionization. The combination of COMSOL products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Most of the comparisons have demonstrated good qualitative and often quantitative match with the available experimental, analytical and numerical data. As it turns out, though, we do not need to do so for this particular case. Fundamental Equations 4. Every aspect of the software's simulation environmentfrom the ability to perform multiphysics analyses to the functionality for creating appsdelivers feature additions and . Walter, this is a very good blog. Magnetohydrodynamics (MHD) plays a crucial role in astrophysics, planetary magnetism, engineering and controlled nuclear fusion. This is a great tutorial! Lets look at how to do this in the context of a relatively simple-looking problem, as sketched above, of an incompressible conductive fluid within an insulative rectangular channel that connects two infinite reservoirs (not modeled) of equal hydrostatic pressure. Y. Yan [1], S. Smolentsev [1], M. Abdou [1] . Plasma Physics Preliminaries: 1. Although the first ideas in magnetohydrodynamics appeared at . Note that three different physics interfaces are solved in three separate study steps. This model example illustrates applications of this type that would nominally be built using the following products: however, additional products may be required to completely define and model it. Particular functionality may be common to several products. Magnet Arrays for Electrical Machines COMSOL has announced the release of the latest version of its modeling and simulation software, COMSOL Multiphysics version 6.1. The equations of MHD are derived in both case of the cylindrical coordinate and Cartesian coordinates. View the updates here. Recently, COMSOL Multiphysics has been used as a numerical tool for simulating the magnetohydrodynamic flow of Pb-Li in a pipe under various Hartmann numbers. In COMSOL, to simulate above cases, a cuboid as shown in Fig. Magnetohydrodynamics or MHD, also known as magnetofluid mechanics, or hydromagnetics, the description of the behaviour of a plasma, or, in general, any electrically conducting fluid in the presence of electric and magnetic fields. This comprehensive textbook emphasizes physical ideas, rather than mathematical detail, making it accessible to a broad audience. The COMSOL Multiphysics software is built from the ground up to be multiphysics capable so that the user can easily combine models representing different physics phenomena in whichever way they wish. Application ID: 74511. The modeling of MHD phenomena is intrinsically a multiphysics problem; one must numerically solve for the coupling between fluid flow, current flow, and magnetic fields. We can see from the results shown above that the solutions are almost identical to the previous, unsimplified case. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this. Application ID: 74511. The results of this multiphysics analysis are shown in the plots below. The Symmetry condition is applied on the xy-plane. My boundary conditions are V=V0*e_theta (azimuth) resulting in a rotating wall and B=0 (kind of a no-slip condition). listed if standards is not an option). Magnetohydrodynamics(MHD) Flows in Fusion Applications Validation procedure and Results All computations have demonstrated good qualitative and in most of the cases fair quantitative match with the available experiment, analytical and numerical data. Magnetohydrodynamics. In addition, we also need to solve for the flow field in the channel. When solving, the software will automatically use a so-called segregated approach that switches back and forth between determining the electromagnetic fields and the velocity field and calculates the linear subsystem for those fields, each with its own optimized iterative solver. Validation of COMSOL Multiphysics for Magnetohydrodynamics (MHD) Flows in Fusion Applications. The expression for this force is not built into the software, so here we will need to do a little bit of manual work. . In this article, magnetohydrodynamics (MHD or Lorentz force is studied. To simulate a jet with COMSOL Multiphysics, we can use the values from the article "A Second-Order Projection Method for the Incompressible Navier Stokes Equations". The screenshot above shows the setup of a new model after considering these simplifications. The Liquid Metal Induction Equation Example 5. Waves. 2 Department of Neurosurgery and Neuroendovascular . Hello Trevor, The word magnetohydrodynamics is comprised of the words magneto- meaning magnetic, hydro- meaning water (or liquid) and - dynamics referring to the movement of an object by forces. It solves coupled 3D incompressible Navier . ), or, in general, any electrically conducting fluid in the presence of electric and magnetic fields. There is the equation \mathbf{F = J \times B} that imposes a force on the fluid due to the current and magnetic field, and there is the equation for the total current in the fluid \mathbf{J} = \sigma \left( \nabla V + \mathbf{v \times B}\right). Electronic address: naokado.ikeda@ompu.ac.jp. You have to build these models up yourself from a knowledge of the physics and the models available in CFX. BURLINGTON, MA, Nov 2, 2022 - COMSOL announced the release of the latest version of its modeling and simulation software, COMSOL Multiphysics version 6.1.Every aspect of the software's simulation environment from the ability to perform multiphysics analyses to the functionality for creating apps delivers feature additions and workflow enhancements. Magnetohydrodynamics Pump. Magnetohydrodynamics couples electro-dynamics with fluid mechanics through the Also, this equation can be solved independently of the electric currents. When solving solely the above equation, use the Ampres Law feature available within the Magnetic and Electric Fields interface. We use it for solving magnetohydrodynamic (MHD) problems, e.g., electromagnetic induction melting, stirring, levitation and other cases where metals interact with electromagnetic fields. Define magnetohydrodynamics. 2. This model example illustrates applications of this type that would nominally be built using the following products: however, additional products may be required to completely define and model it. support@comsol.com AC/DC Module Updates For users of the AC/DC Module, COMSOL Multiphysics version 6.1 includes greatly improved usability for modeling electrical machines, new multiphysics interfaces for magnetohydrodynamics, and extended and improved functionality for lumped parameter extraction. The magnetic field boundary conditions everywhere are the Magnetic Insulation condition, except for on the xy-plane, where the Perfect Magnetic Conductor condition is used to exploit the symmetry of the system. To determine the right combination of products for your modeling needs, review the Grille des Spcifications and make use of a free evaluation license. This model shows how to simulate a . Furthermore, this example may also be defined and modeled using components from the following product combinations: The combination of COMSOL products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. And that is all there is to it! Hence, for the Rossel and approximation for thermal radiation, w e have Furthermore, this example may also be defined and modeled using components from the following product combinations: The combination of COMSOL products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. In this video I show you how magnetohydrodynamics work and how it can be used to make a real working device. As far as the element meshing and element order, a significant concern here is the computational size of the model. The combination of COMSOL products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Your internet explorer is in compatibility mode and may not be displaying the website correctly. Particular functionality may be common to several products. Your internet explorer is in compatibility mode and may not be displaying the website correctly. Magnetohydrodynamics. The word "magnetohydrodynamics" is derived from magneto- meaning magnetic field, hydro- meaning water, and . Synonyms of MHD that are less frequently used are the terms magnetofluiddynamics and hydromagnetics . It describes the subtle and complex nonlinear interaction between magnetic fields and electrically conducting . Lets look at such a workflow in the context of building a magnetohydrodynamic (MHD) model. Magnetohydrodynamics of the Sun is a completely new up-to-date rewrite from scratch of the 1982 book Solar Magnetohydrodynamics, taking account of enormous advances in understanding since that date. That is why advanced CFD takes time. COMSOL is strengthening its multiphysics simulation platform with new capabilities for product development and innovation anchored in the laws of science. Magnetohydrodynamics - Magnetohydrodynamics was used in reference to the transfer of momentum from the Sun to the planets, but is eventually exanded upon to include the current field. Of course, these assumptions and simplifications that weve made do have their limitations, so it never hurts to check against a full model, but the power and flexibility of the COMSOL Multiphysics platform let us easily build both simplified and complete models, compare them, and modify them in whatever way we desire. COMSOL Multiphysics version 6.1 including expanded capabilities in Fluid and Mechanical Simulations.
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