A continuum based model is presented which identifies a favorable set of operational conditions whereby an effective and efficient electromagnetically induced vibratory motion can proceed within an induction system.Sp...A continuum based model is presented which identifies a favorable set of operational conditions whereby an effective and efficient electromagnetically induced vibratory motion can proceed within an induction system.Specifically, an analytical assessment is presented for the electromagnetic field and the electromagnetically induced acoustic field, with parametric factors incorporated into the model to permit a normal modes solution for the acoustic field which here is sensitive to the compliance of both the molten metal and the wall,as well as electromagnetic properties of the metal.A parametric analysis is presented which identifies the importance of matching the mechanical impedances of the melt-wall configuration so that the generation of acoustic energy within the melt system can be more effectively utilized.Relatively straight-forward calculations,presented for the acoustic field,may provide a more computationally efficient means for implementing process simulation studies for these systems.展开更多
The motion of an inductively heated fluid volume of cylindrical shape is assessed based on time dependent oscillatory components of the Lorentz force.The applications considered include vibratory motion in a channel i...The motion of an inductively heated fluid volume of cylindrical shape is assessed based on time dependent oscillatory components of the Lorentz force.The applications considered include vibratory motion in a channel induction furnace and vibratory motion in an electromagnetically excited direct chill casting.The governing equations for the resulting magnetoacoustic problem are presented with the acoustic field solutions expressed in terms of normal modes. Closed form expressions are developed for the velocity,pressure and phase relationships between the excitation and the response.Calculations are prescribed for the pressure in both the channel furnace and the direct chill casting,with the calculational results from the casting application suggesting that,roughly,a two-fold increase in the effective peak acoustic pressure can be achieved by superimposing on the AC electromagnetic field a DC magnetic field of strength sufficient to match the peak alternating magnetic field.A procedure is also outlined for developing field descriptions of the velocity and pressure which can be effected in a MATLAB environ.展开更多
文摘A continuum based model is presented which identifies a favorable set of operational conditions whereby an effective and efficient electromagnetically induced vibratory motion can proceed within an induction system.Specifically, an analytical assessment is presented for the electromagnetic field and the electromagnetically induced acoustic field, with parametric factors incorporated into the model to permit a normal modes solution for the acoustic field which here is sensitive to the compliance of both the molten metal and the wall,as well as electromagnetic properties of the metal.A parametric analysis is presented which identifies the importance of matching the mechanical impedances of the melt-wall configuration so that the generation of acoustic energy within the melt system can be more effectively utilized.Relatively straight-forward calculations,presented for the acoustic field,may provide a more computationally efficient means for implementing process simulation studies for these systems.
基金the Center for International Programs at the University of Dayton for support that facilitated collaborative aspects of this study
文摘The motion of an inductively heated fluid volume of cylindrical shape is assessed based on time dependent oscillatory components of the Lorentz force.The applications considered include vibratory motion in a channel induction furnace and vibratory motion in an electromagnetically excited direct chill casting.The governing equations for the resulting magnetoacoustic problem are presented with the acoustic field solutions expressed in terms of normal modes. Closed form expressions are developed for the velocity,pressure and phase relationships between the excitation and the response.Calculations are prescribed for the pressure in both the channel furnace and the direct chill casting,with the calculational results from the casting application suggesting that,roughly,a two-fold increase in the effective peak acoustic pressure can be achieved by superimposing on the AC electromagnetic field a DC magnetic field of strength sufficient to match the peak alternating magnetic field.A procedure is also outlined for developing field descriptions of the velocity and pressure which can be effected in a MATLAB environ.
