"P(GA102/01/0184)" . "Modelling of induction heating and consequent hardening of long prismatic bodies"@en . "Modelling of induction heating and consequent hardening of long prismatic bodies"@en . . . "Modelling of induction heating and consequent hardening of long prismatic bodies" . . . "Modelling of induction heating and consequent hardening of long prismatic bodies" . . "2"^^ . "0"^^ . "0"^^ . . "Neuveden" . . "8"^^ . "Neuveden" . . "[1ED518AEC355]" . "5"^^ . . . "S. 511-518" . "Ulrych, Bohu\u0161" . . "RIV/49777513:23220/01:00067976" . "Modelling of induction heating and consequent hardening of long prismatic bodies" . . . . "The paper deals with the problem of induction hardening of long prismatic ferromagnetic bodies. The body is first heated to the required temperature typically in a cylindrical inductor fed from a source of harmonic current and then merged into a suitablecooling medium. In specific cases, equalization of temperatures within the body before its cooling may also be required. Mathematical model of such a process consists of two non-linear second order differential equations of the parabolic type (describingthe distribution of the electromagnetic and consequent non-stationary temperature fields) and combination of the heat equation without sources with a theoretically empirical algorithm (cooling and simultaneous hardening). The suggested methodology partially takes into account the temperature dependencies of the material parameters. The theoretical analysis is supplemented with an illustrative example and discussion of the results."@en . . . "687266" . "\u0160kopek, Martin" . "Barglik, Jerzy" . "RIV/49777513:23220/01:00067976!RIV/2002/GA0/232202/N" . "Neuveden" . . "23220" . . "electromagnetic fields; coupled problems; non-stationary temperature field; hardering"@en . "2001-01-01+01:00"^^ . "The paper deals with the problem of induction hardening of long prismatic ferromagnetic bodies. The body is first heated to the required temperature typically in a cylindrical inductor fed from a source of harmonic current and then merged into a suitablecooling medium. In specific cases, equalization of temperatures within the body before its cooling may also be required. Mathematical model of such a process consists of two non-linear second order differential equations of the parabolic type (describingthe distribution of the electromagnetic and consequent non-stationary temperature fields) and combination of the heat equation without sources with a theoretically empirical algorithm (cooling and simultaneous hardening). The suggested methodology partially takes into account the temperature dependencies of the material parameters. The theoretical analysis is supplemented with an illustrative example and discussion of the results." .