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Numerické modelování MHD jevu při čerpání tekutých kovů
Büllow, J. ; Doležel, Ivo ; Karban, P. ; Ulrych, B.
The paper deals with the numerical modeling of pumping molten metals based on the principle of the magnetohydrodynamic effect, i.e. force effect of an external stationary current field and magnetic field on an electrically conductive liquid. Described is the physical essence of the effect that represents the starting point for the formulation of its mathematical model. The theoretical analysis is illustrated on two examples. The first pump works with practically uniform electric field in a hydrodynamically less favorable channel of rectangular cross-section while the second one with nonuniform electric field in hydrodynamically more advantageous circular channel. The conclusion is devoted to the discussion about the possibilities of optimization of the device.
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Provozní parametry a charakteristiky aktuátorů s dilatačním prvkem
Doležel, Ivo ; Karban, P. ; Ulrych, B. ; Barglik, J. ; Pantelyat, M. ; Matyukhin, Y. ; Gontarowskiy, P.
In specific applications one needs actuators characterized by very high forces at small shifts. As actuators of classical constructions mostly cannot satisfy these requirements, the authors designed another arrangement with an inductively heated dilatation element. But huge mechanical strains and stresses of thermoelastic origin acting in its structural parts could lead to its damage or destruction. The paper deals with mathematical modeling of the device that is solved numerically in the combined formulation (while the electromagnetic field is solved independently, the thermal and thermoelastic effects are solved in the hard-coupled formulation). The algorithm is illustrated on a typical example whose results are discussed.
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Integrální výpočet magnetického pole stíněného trojfázového vedení
Karban, P. ; Doležel, Ivo ; Ulrych, B.
The paper deals with numerical modeling of a three-phase harmonic-current carrying shielded line. In most similar cases, computation of magnetic field and other associated quantities is realized using the finite element method that is effective, reliable and the results obtained correspond to the physical reality. Nevertheless, the method may become problematic when particular subre-gions (conductors, insulation, shielding elements) are geometrically incommensurable, which is even the case of thin shielding shells. That is why the authors use the integral approach for modeling of the relevant effects. Presented is its basic continuous mathematical model that is solved numerically. The theoretical analysis is supplemented with a typical example.
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Možnosti elektromagnetického čerpání tekutých kovů a jejich numerické modelování
Musil, Ladislav ; Doležel, Ivo ; Karban, P. ; Ulrych, B. ; Barglik, J.
Electromagnetic pumps and feeders of molten metals are widely spread devices used in many branches of industry. Their operation is, however, accompanied by a high consumption of energy. Im-provement of their efficiency and optimization of their design requires detailed knowledge of the relevant electromagnetic (and sometimes also thermo- and hydrodynamic) processes. The paper deals with the principles of operation of such devices, presents their mathematical models and techniques of their numerical solu-tion. The theoretical analysis is illustrated on typical examples providing the fundamental ideas about their operation parameters and characteristics.
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Techniky zpracování tuhých a tekutých kovů založené na elektromagnetické indukci
Doležel, Ivo ; Šolín, Pavel ; Musil, Ladislav ; Ulrych, B. ; Karban, P. ; Barglik, J.
A lot of up-to-date industrial technologies associated with treatment of solid and liquid metals are based on thermal and force effects of electromagnetic field. The fundamental process is induction heating of metals that precedes a number of consequent operations such as tempering, drying, melting, stirring, hardening, hot pressing etc. The paper summarizes physical essence of the above processes (that usually represent complex coupled problems) and presents their mathematical and computer models as well as possible methods of their solutions.
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Jev "zamrzlého pole" v elektricky vodivých médiích, řešený prostředky klasické elektrodynamiky
Doležel, Ivo ; Karban, P. ; Mayer, D. ; Ulrych, B.
The concept "frozen field" is often used in association with behavior of strongly electrically conductive media. Being introduced in astrophysics the phenomenon consists in drift of magnetic field by electrically well conductive medium (plasma or ionized mixture of gas and dust particles) that moves due to some primary mechanism not immediately associated with this magnetic field. This paper presents the description of the effect by means of classical electrodynamics in nonrelativistic medium and its solution in an integral formulation.
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Elektromagnetické a teplotní pole v roztaveném hliníku míchaném v kelímkové indukční peci
Barglik, J. ; Doležel, Ivo ; Ulrych, B. ; Mach, M. ; Trutwin, D.
The paper deals with the mathematical and computer modeling of quasi-coupled electromagnetic, temperature and hydrostatic fields in molten aluminium in a typical crucible induction furnace. After the process of melting, the melt is further inductively heated to reach the casting temperature that is typically higher by about 200 C than the melting point. Then the active power of inductors is reduced to a level making possible only to keep the temperature at that value. During that time, however, more or less intensive stirring of the melt takes place because of presence of the Lorentz forces acting in melt.
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Integral Solution of Electrostatic Fields in 3D Arrangements
Hamar, R. ; Doležel, Ivo ; Ulrych, B.
The paper deals with computation of 3D electrostatic fields (distribution of charges, electric potential and other derived quantities) by means of integral equations and their numerical solution. Selected are neither configurations that can be simplified to 2D problems and solved analytically, nor arrangements that might be processed by the FD or FE techniques. Analysed are fundamental mathematical aspects of the method, which is illustrated on a 3D field between two cubes in general position.
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