Pavel Karban

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Keywords: Induction heating Magnetic field Temperature field Hard-coupled formulation Higher-order finite element method a b s t r a c t Induction heating of nonmagnetic cylindrical billets by rotation in uniform magnetic field produced by static permanent magnets is modeled. Numerical analysis of the process providing the distributions of magnetic and(More)
New code Agros2D for 2D numerical solution of coupled problems is presented. This code is based on the fully adaptive higher-order finite element method and works with library Hermes2D containing the most advanced numerical algorithms for the numerical processing of systems of second-order partial differential equations. It is characterized by several quite(More)
An electromagnetic valve for control of flow of electrically non-conductive liquids is proposed and modeled. The device contains only one movable part (a cylindrical plunger) whose movement is controlled by a secondary magnetic circuit with a high-parameter permanent magnet and current in the field coil. The paper presents its mathematical model that is(More)
—A device for electrostatic separation of triboelectri-cally charged plastic particles is modeled and optimized. Electric field in the system is solved numerically by a fully adaptive higher-order finite element method. The movement of particles in the device is determined by an adaptive Runge-Kutta-Fehlberg method. The shape optimization of the electrodes(More)
Numerical modeling of harmonic acoustic field produced by a common commercial loudspeaker is carried out. The goal is to obtain the directional characteristic of the device. So far, these characteristics could only be obtained by measurements, which was very complicated and also expensive. Another benefit of the model consists in obtaining a reference(More)
The process of induction heating of cylindrical nonmagnetic billets is modeled and optimized. An unmovable billet is placed in rotating magnetic field generated by permanent magnets fixed in an external rotor driven by an asynchronous motor by means of a teeth gear. The coupled model of the problem consisting of two partial differential equations describing(More)
Comparison of several types of electrostatic microactuators is carried out, particularly with respect to their resultant force effects. The continuous mathematical model of such actuators is mostly described by the Laplace equation. In this paper, its numerical solution is performed by a fully adaptive higher-order finite element method, using a code(More)