The invention relates to a method and a device for the electromagnetic stirring of electrically conductive fluids by using a magnetic field rotating in the horizontal plane, and a magnetic field traveling in a vertical direction thereto.
Because of their contactless interaction with electrically conductive fluids, time-dependent electromagnetic fields open up an attractive possibility for stirring hot metal melts or semiconductor melts. The electromagnetic force field can be directly and accurately regulated in a simple way via the parameters of magnetic field amplitude and magnetic field frequency.
Electromagnetic stirring is applied on an industrial scale, inter alia, in the directional solidification of metallic alloys or semiconductor melts. An important problem in this context consists in that flows in the immediate surroundings of an advancing solidification front can lead to separations in the solidified material that visibly impair the mechanical properties of the resulting solid body. A concentration boundary layer results at the solidification front because of the different solubility of individual components in the liquid or solid phase. Owing to the convective transport of the enriched melt away from the solidification front, a flow counteracts the formation of an extended concentration boundary layer. If the melt flows exclusively in one direction in this case, however, separation zones come about in other volume regions.
Rotating or traveling magnetic fields have already found use in metallurgical processes such as continuous casting of steel. An arrangement of a multiphase electromagnetic winding for producing a traveling field perpendicular to the casting direction in a continuous casting plant, for example, is described in publication DE AS 1 962 341.
Another method for stirring steel melt during continuous casting is described in publication US 2003/0106667 in the case of which use is made of two magnetic fields that are arranged superposed on one another and rotating in opposite senses. While the lower magnetic field takes over the actual function of stirring, the upper magnetic field has the task of braking the rotating melt in the region of the free surface to very low speed values in order to compensate for the negative effects of the stirring—a displacement and turbulence of the free surface.
A problem consists in that the operation has to make use of two magnetic stirrers—the upper magnetic stirrer with respect to the surface area and the lower magnetic stirrer with respect to the volume. The lower magnetic stirrer is used to put mechanical energy into the steel melt and to set the steel melt in rotation. However, since a far less intensive rotation of the melt is provided in the upper region of the continuous casting plant, additional energy must be expended in the upper magnetic stirrer in order to brake the flow there.
Further methods for electromagnetic stirring in continuous casting molds are described in publications DE 2 401 145 and DE 3 730 300, in which a periodic change in the current in the coil arrangement is undertaken. It is described in publication DE 2 401 145 that the formation of secondary tin strips and secondary dendrites can be avoided with the periodic change. Publication DE 3 730 300 describes a method for calming the free bath surface. It is assumed that the resulting magnetic field in the interior of the melt simultaneously maintains an intensive stirring motion. In the two publications mentioned, very wide ranges, specifically between 1 and 30 s, are specified for the cycle times in which the direction of flow is to be changed. This cycle time or period or the frequency of the change in sign of the current is an important parameter with a strong influence on the flow that forms. However, both publications specify no data with regard to a period as a function of the magnetic field strength, the geometry of the arrangement or the material properties of the metal melt.
A device and a method for intensive stirring of a melt located in a cylindrical container in the case of which a rotating magnetic field and a traveling magnetic field are simultaneously used, are described in publication JP2003220323. The rotating magnetic field is produced by a radial coil that surrounds the container and whose turns are of annular design, and the traveling magnetic field is produced by a longitudinal coil whose turns extend in an axial direction over sections of the lateral surface and overall surround the container lateral surface annularly, the longitudinal coil being arranged between the lateral surface of the container and the radial coil. The radial coil produces a rotational motion, and the longitudinal coil produces an axial motion of the liquid melt in the container. The simultaneous superposition of the two fields produces a resulting, stationary force which causes characteristic flow structures and also asymmetric flow structures in some circumstances, depending on choice of parameter. This means for the solidification that flows resulting on average over time in a mass transfer in preferred directions, and thus in separations, dominate at the solidification front.
It is the object of the invention to specify a method and a device for the electromagnetic stirring of electrically conductive fluids that are suitably designed in such a way that avoids asymmetric flow structures in containers filled with melts, in particular at the beginning and during the course of the solidification. Moreover, the aim is to achieve an effective mixing of the fluid and/or a controlled solidification of metallic alloys by avoiding the formation of separation zones in the solidification structure.
This object is achieved with the features of claims 1 and 10.
In the method for the electromagnetic stirring of electrically conductive fluids by using a magnetic field RMF rotating in the horizontal plane, and a magnetic field WMF traveling in a vertical direction thereto,
in accordance with the characterizing part of patent claim 1
both the rotating magnetic field RMF and the traveling magnetic field WMF are switched on discontinuously in the form of temporally restricted and adjustable periods TP,RMF and TP,WMF and alternately in time one after another.
The duration TP,RMF of the periods of the rotating magnetic field RMF, and the duration TP,WMF of the periods of the traveling magnetic field WMF (47) can lie in a time interval
0.2*ti.a.<TP,RMF=TP,WMF<2·ti.a. (I),
with the following definition for the initial adjustment time ti.a.
the variables σ, ρ, ω and B0 denoting the electrical conductivity and the density of the fluid, the frequency and the amplitude of the magnetic field RMF or WMF, while the constant Cg describes the influence of the size and shape of the volume of the fluid and can assume numerical values between three and five. The initial adjustment time ti.a. denotes the instant at which the volume-averaged kinetic energy of the meridional flow or the volume-averaged meridional speed Urz reaches a first maximum, as described in the publication by Nikrityuk, Ungarish, Eckert, Grundmann: Spin-up of a liquid metal flow driven by a rotating magnetic field in a finite cylinder: A numerical and an analytical study, Phys Fluids 17, 067101-1 to 067101-16, 2005. The following equations hold in this case:
In the case of the rotating magnetic field RMF, the so-called initial adjustment time ti.a. is identical to the time scale in which, after a rotating magnetic field has been switched on abruptly in a melt that was previously in the state of rest, the double vortex typical of the meridional secondary flow forms.
Various periods TP,RMF, TP,WMF for the rotating and traveling magnetic fields can be adjusted in accordance with the following condition
0.5·TP,RMF<TP,WMF<5·TP,RMF (II).
Metallic or semiconductor melt can be filled as electrically conductive fluid into the container.
In the state of a directional solidification under temperature control the amplitude B0RMF of the rotating magnetic field RMF is to be increased such that at least the maximum of the two values
is reached, the parameters v, Vsol and H0 representing the kinematic viscosity of the melt, the rate of solidification and the height of the melt volume. B1RMF and B2RMF are the lower limit values of the amplitudes of the rotating magnetic field, which can vary in the course of solidification as a function of the parameters v, Vsol and H0.
The amplitude BOWMF of the traveling magnetic field WMF can be set to be exactly as large as or up to four times larger than the amplitude B0RMF of the rotating magnetic field RMF, that is to say
B
0
WMF=1 . . . 4·B0RMF (VIII).
Other pulse shapes such as, for example, sine, triangle or sawtooth can be implemented instead of the rectangular function when modulating the profile of the Lorentz force FL, the profile and the maximum value of the magnetic field RMF or WMF being defined such that an identical energy input results for the various pulse shapes.
The amplitudes BORMF, B0WMF of the magnetic fields RMF or WMF can be set during the stirring in a fashion adapted continuously in accordance with the requirements derived from the process to be observed.
The individual periods TP,RMF and TP,WMF in which one of the magnetic fields RMF or WMF is switched on can be interrupted by a pause duration TPause, in which none of the two magnetic fields RMF or WMF act on the fluid, it being possible to set Tpause≦0.5·TP,RMF or Tpause≦0.5·TP,WMF.
The direction of the rotating magnetic field RMF and/or WMF can be inverted between two pulses.
The device for the electromagnetic stirring of electrically conductive fluids comprises at least
0.2·ti.a.<TP,RMF=TP,WMF<2·ti.a. (I) or
0.5·TP,RMF<TP,WMF<5·TP,RMF (II).
The container with the fluid or liquid melt can be arranged concentrically inside the induction coils.
The container can be provided with a heating device and/or cooling device.
The baseplate of the container can be in direct contact with a solid metal body through whose interior a coolant flows.
The side walls of the container can be thermally insulated.
The cooling body can be connected to a thermostat.
A liquid metal film can be located between the cooling body and the container in order to attain a stable heat transfer in conjunction with a low transfer resistance.
The liquid metal film can consist of a gallium alloy.
Positioned in the baseplate and/or in/on the side walls of the container in which the melt is located can be at least one temperature sensor in the form of a thermocouple that supplies an information item relating to the instant of the beginning of the solidification, and is connected to the control/regulation unit for the purpose of controlling the temperature of the fluid.
A use of the device for the electromagnetic stirring of electrically conductive fluids as claimed in claims 10 to 18 can take place in the form of metallic melts in metallurgical processes, or in the form of semiconductor melts in crystal growth, for the purpose of cleaning metal melts, during continuous casting or in the process of the solidification of metallic materials by means of the method as claimed in claims 1 to 9.
In the inventive method for the electromagnetic stirring of electrically conductive fluids, both the rotating magnetic field and the magnetic field traveling in a vertical direction thereto, RMF and WMF, are switched on discontinuously in the form of temporally restricted pulses, the two magnetic fields RMF and WMF being switched on alternately and one after another in time. The induction coil pairs fed with a three-phase alternating current are thus driven in such a way that at any time one magnetic field RMF or WMF acts on the melt.
The period TP,RMF of the rotating magnetic field RMF, and the period TP,WMF of the traveling magnetic field WMF can be adjusted to an equal value, and there is according to the invention an adjustment according to the following condition
0.2*ti.a.<TP,RMF=TP,WMF<2·ti.a. (I),
If the period TP,RMF of the rotating magnetic field RMF and the period TP,WMF of the traveling magnetic field WMF are adjusted to values different from one another, an adjustment is then performed according to the following condition:
0.5·TP,RMF<TP,WMF<5·TP,RMF (II).
The period TP,WMF of the traveling magnetic field WMF is preferably longer or longer by a multiple in order to achieve an intensive mixing.
The amplitude BP,WMF of the vertically traveling magnetic field WMF can be at least exactly as large as the amplitude BP,RMF of the rotating magnetic field RMF, preferably being larger by a multiple (at most 4 times).
The invention is explained in more detail with the aid of an exemplary embodiment by means of a plurality of drawings, in which:
represents the Taylor number, and
a
1 shows an instantaneous image of the azimuthal flow when the rotating magnetic field RMF is switched on and, at the same time, the traveling magnetic field WMF is switched off,
a
2 shows an instantaneous image of the meridional speed as a vector diagram when the rotating magnetic field RMF is switched on, and at the same time, the traveling magnetic field WMF is switched off,
b
1 shows an instantaneous image of the azimuthal flow when the traveling magnetic field WMF is switched on and, at the same time, the rotating magnetic field RMF is switched off,
b
2 shows an instantaneous image of the meridional speed as a vector diagram when the traveling magnetic field WMF is switched on and, at the same time, the rotating magnetic field RMF is switched off,
a
1 shows an instantaneous image of the azimuthal flow when the rotating magnetic field RMF is switched on and, at the same time, the traveling magnetic field WMF is switched off,
a
2 shows an instantaneous image of the meridional speed as a vector diagram when the rotating magnetic field RMF is switched on and, at the same time, the traveling magnetic field WMF is switched off,
b
1 shows an instantaneous image of the azimuthal flow when the traveling magnetic field WMF is switched on and, at the same time, the rotating magnetic field RMF is switched off,
b
2 shows an instantaneous image of the meridional speed as a vector diagram when the traveling magnetic field WMF is switched on and, at the same time, the rotating magnetic field RMF is switched off.
wherein
a shows a macrostructure under the influence of a continuously acting traveling magnetic field WMF of 6 mT,
b shows a macrostructure under the influence of a continuously acting rotating magnetic field RMF of 6.5 mT, and
c shows a macrostructure under the influence of the discontinuously and alternately acting magnetic fields RMF and WMF with 6 mT, respectively.
According to the invention, the power supply unit 9 is connected to the respectively associated induction coils 31, 32, 33; 41, 42, 43, 44, 45, 46 by the control/regulation unit 10, a power supply to the induction coils 31, 32, 33; 41, 42, 43, 44, 45, 46 being performed in a fashion set by the prescribed conditions
0.2·ti.a.<TP,RMF=TP,WMF<2·ti.a. (I) or
0.5·TP,RMF<TP,WMF<5·TP,RMF (II).
The container 14 is located in a centrally symmetrical fashion inside an arrangement 3 of pairs 31, 32, 33 of induction coils for producing a rotating magnetic field RMF 34, and an arrangement 4 of induction coils 41, 42, 43, 44, 45, 46 of a traveling magnetic field WMF 47. The induction coil pairs 31, 32, 33 and the induction coils 41, 42, 43, 44, 45, 46 lined up one above another in a stack coaxially with the axis of symmetry 15 are respectively connected to the power supply unit 9 and are fed from there with a current ID in the form of a 3-phase alternating current and produce a horizontally aligned magnetic field RMF 34, rotating about the axis of symmetry 15 of the device 1, or a magnetic field WMF 47 aligned along the axis of symmetry 15 and traveling in a vertical direction. The power supply unit 9 is connected to the electronic control/regulation unit 10, which switches the 3-phase alternating current ID on and off at prescribed intervals. Switching the magnetic fields RMF 34 and WMF 47 on and off is controlled by the control/regulation unit 10 such that at any time only at most one magnetic field RMF 34 or WMF 47 acts on the melt 2.
The device 1 of the cylindrical container 14 filled with the electrically conductive melt 2 can be supplemented with a cooling device 11 for the solidification of metallic melts 2. The cooling device 11 comprises a metal block 5 in the interior of which cooling channels 6 are present. The container 14 rests with its baseplate 12 on the metal block 5. During the solidification process, a coolant flows through the cooling channels 6 located in the interior of the metal block 5. The heat is withdrawn downward from the melt 2 by means of the cooling device 11. A thermal insulation 7 of the container 14 prevents heat losses in a radial direction. At least one temperature sensor 8 is fitted on the baseplate 12 and/or in/on the side walls 13 of the container 14, for example in the form of a thermocouple for the purposes of monitoring the temperature. The temperature measurements enable the liquid state, the beginning and the course of the state of solidification to be monitored, and enable an immediate adaptation of the magnetic field parameters, for example B0RMF, B0WMF and the period TP, to the individual stages of the solidification process by the power supply unit 9 controlled by means of the control/regulation unit 10.
The container 14 with the melt 2 is arranged concentrically inside the induction coils 31, 32, 33; 41, 42, 43, 44, 45, 46.
The container 14 can be provided with a heating device and/or cooling device 11.
The baseplate 12 is in direct contact with a solid metal body 5 through whose interior a coolant flows.
The side walls 13 of the container 14 are thermally insulated by an insulation jacket 7.
The cooling body 5 is connected to a thermostat (not depicted).
A liquid metal film (not depicted) can be located between the cooling body 5 and the container 14 in order to attain a stable heat transfer in conjunction with a low transfer resistance.
The liquid metal film can consist of a gallium alloy.
Positioned in the baseplate 12 and/or in/on the side walls 13 of the container 14 in which the melt 2 is located is a temperature sensor 8 in the form of a thermocouple that supplies an information item relating to the instant of the beginning of the solidification, and is connected to the control/regulation unit 10.
As shown in
The duration TP,WMF of the periods of a rotating magnetic field RMF 34 and the duration TP,WMF of the periods of a traveling magnetic field WMF 47 can lie in a time interval
0.2*ti.a.<TP,RMF=TP,WMF<2·ti.a. (I),
with the following definition for the characteristic initial adjustment time ti.a.
the variables σ, ρ, ω and B0 denoting the electrical conductivity and the density of the fluid, the frequency and the amplitude of the magnetic field RMF and WMF, while the constant Cg describes the influence of the size and shape of the volume of the fluid and can assume numerical values between three and five. The initial adjustment time ti.a. denotes the instant at which the volume-averaged kinetic energy of the meridional flow or the volume-averaged meridional speed Urz reaches a first maximum.
Given the presence of different periods TP,RMF, TP,WMF for the rotating magnetic field RMF 34 and the traveling magnetic field WMF 47, it is possible to make the setting in accordance with the following condition
0.5·TP,RMF<TP,WMF<5·TP,RMF (II).
In the state of a directional solidification under temperature control, the amplitude B0RMF of the rotating magnetic field RMF 34 is to be increased such that at least the maximum of the two values
are reached, parameters v, Vsol and H0 representing the kinematic viscosity of the melt 2, the rate of solidification and the height of the melt volume.
The amplitude BOWMF of the traveling magnetic field WMF 47 can be set to be exactly as large as or up to four times larger than the amplitude B0RMF of the rotating magnetic field RMF 34, that is to say
B
0
WMF=1 . . . 4·B0RMF (VIII).
The amplitudes B0RMF, B0WMF of the magnetic fields RMF 34 and WMF 47 can be adapted during the stirring continuously in accordance with the requirements derived from the process to be observed.
The individual periods TP,RMF, TP,WMF in which one of the magnetic fields RMF 34 or WMF 47 is switched on can be interrupted by a pause duration TPause in which none of the two magnetic fields act on the fluid 2, in which Tpause≦0.5·TP,RMF or TPause≦0.5·TP,WMF.
The direction of the rotating magnetic field RMF 34 and/or of the traveling magnetic field WMF 47 can be inverted between two pulses.
a
2 an instantaneous image of the meridional speed as a vector diagram when the rotating magnetic field RMF 34 is switched on, and at the same time, the traveling magnetic field WMF 47 is switched off,
b
1 an instantaneous image of the azimuthal flow when the traveling magnetic field WMF 47 is switched on and, at the same time, the rotating magnetic field RMF 34 is switched off, and
b
2 an instantaneous image of the meridional speed as a vector diagram when the traveling magnetic field WMF 47 is switched on and the rotating magnetic field RMF 34 is switched off.
The comparison shows that the meridional flow at the bottom of the cylinder is weakened with the WMF 47 switched on, and this leads to a reduction in separation.
a
1 shows an instantaneous image of the azimuthal flow when the rotating magnetic field RMF 34 is switched on and, at the same time, the traveling magnetic field WMF 47 is switched off,
a
2 shows an instantaneous image of the meridional speed as a vector diagram when the rotating magnetic field RMF 34 is switched on, and at the same time, the traveling magnetic field WMF 47 is switched off,
b
1 shows an instantaneous image of the azimuthal flow when the traveling magnetic field WMF 47 is switched on and, at the same time, the rotating magnetic field RMF 34 is switched off, and
b
2 shows an instantaneous image of the meridional speed as a vector diagram when the traveling magnetic field WMF 47 is switched on and, at the same time, the rotating magnetic field RMF 34 is switched off.
a illustrates a macrostructure under the influence of a continuously acting traveling magnetic field WMF 47 of 6 mT,
b illustrates a microstructure under the influence of a continuously acting rotating magnetic field RMF 34 of 6.5 mT, and
c illustrates a microstructure under the influence of the discontinuously and alternately acting magnetic fields RMF 34 and WMF 47 with 6 mT, respectively.
The corresponding magnetic fields RMF 34 and WMF 47 are switched on respectively 30 s after the beginning of the solidification at the container bottom. In the period up to the beginning of the electromagnetically driven flow, a coarse columnar structure grows parallel to the axis of symmetry of the container. A very coarse structure is to be seen in the case of the traveling magnetic field WMF 47 in
The following advantages are achieved by the invention:
Number | Date | Country | Kind |
---|---|---|---|
10 2007 038 281.4 | Aug 2007 | DE | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/DE08/01261 | 8/1/2008 | WO | 00 | 2/3/2010 |