Interaction of a traveling magnetic field with rigid conducting spheres or cylinders
The case of a rigid conducting sphere or cylinder that travels with uniform velocity relative to a two-dimensional primarily transverse magnetic field with sinusoidal variation in space and time is analyzed to determine the electromechanical characteristics of the interaction. Interest is centered o...
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| Veröffentlicht in: | Proc. IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967) 55: 2116-22(Dec. 1967), 1967-01, Vol.55 (12), p.2116-2122 |
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| container_title | Proc. IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967) |
| container_volume | 55 |
| creator | Thome, R.J. |
| description | The case of a rigid conducting sphere or cylinder that travels with uniform velocity relative to a two-dimensional primarily transverse magnetic field with sinusoidal variation in space and time is analyzed to determine the electromechanical characteristics of the interaction. Interest is centered on conductors with diameters small relative to the wavelength of the applied field. For the sphere, an exact solution is not tractable by standard techniques, hence, a method is utilized in which the force is approximated by one of its components. The results are verified by: 1) applying the approximation to the analogous case of a cylinder and comparing the result with the exact solution to that case, 2) comparing the limit of the approximate solution for the sphere with the result obtained by assuming the magnetic Reynolds number to be small, and 3) determining the net time-average force of electromagnetic origin experimentally for comparison with the predictions of the theory. The latter were carried out for the cylinder as well as the sphere over a range of magnetic Reynolds numbers (sR m = µ 0 σsωD 2 ) from 0.4 to 20. In the course of the work, a method is also utilized in which the original "skin effect" problem is reduced to a problem involving interacting low sR m components and the force is found via the techniques of lumped parameter electromechanics. The study is concluded with a determination of the condition under which two spheres or cylinders are electromagnetically independent so that the results for a distribution of conductors may he obtained by superposition of the results for a single body. Situations which may be modeled using the results of this study include holdup or separation of a highly conducting liquid phase from a two-phase flow in heat transfer apparatus as a result of the application of a magnetic field gradient or the energy conversion in a liquid metal magnetohydrodynamic induction machine with a two-phase working fluid. |
| doi_str_mv | 10.1109/PROC.1967.6089 |
| format | Article |
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Interest is centered on conductors with diameters small relative to the wavelength of the applied field. For the sphere, an exact solution is not tractable by standard techniques, hence, a method is utilized in which the force is approximated by one of its components. The results are verified by: 1) applying the approximation to the analogous case of a cylinder and comparing the result with the exact solution to that case, 2) comparing the limit of the approximate solution for the sphere with the result obtained by assuming the magnetic Reynolds number to be small, and 3) determining the net time-average force of electromagnetic origin experimentally for comparison with the predictions of the theory. The latter were carried out for the cylinder as well as the sphere over a range of magnetic Reynolds numbers (sR m = µ 0 σsωD 2 ) from 0.4 to 20. In the course of the work, a method is also utilized in which the original "skin effect" problem is reduced to a problem involving interacting low sR m components and the force is found via the techniques of lumped parameter electromechanics. The study is concluded with a determination of the condition under which two spheres or cylinders are electromagnetically independent so that the results for a distribution of conductors may he obtained by superposition of the results for a single body. Situations which may be modeled using the results of this study include holdup or separation of a highly conducting liquid phase from a two-phase flow in heat transfer apparatus as a result of the application of a magnetic field gradient or the energy conversion in a liquid metal magnetohydrodynamic induction machine with a two-phase working fluid.</description><identifier>ISSN: 0018-9219</identifier><identifier>EISSN: 1558-2256</identifier><identifier>DOI: 10.1109/PROC.1967.6089</identifier><identifier>CODEN: IEEPAD</identifier><language>eng</language><publisher>United States: IEEE</publisher><subject>Conductors ; CYLINDERS ; Electromagnetic forces ; Energy conversion ; Heat transfer ; Magnetic analysis ; MAGNETIC FIELDS ; Magnetic liquids ; Magnetic separation ; MAGNETOHYDRODYNAMICS ; MAGNETOHYDRODYNAMICS/interaction of traveling magnetic field with rigid conducting spheres or cylinders ; N32520 -Physics-Fluid Physics-Magnetofluid Mechanics ; Skin effect ; SPHERES</subject><ispartof>Proc. 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IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967)</title><addtitle>JPROC</addtitle><description>The case of a rigid conducting sphere or cylinder that travels with uniform velocity relative to a two-dimensional primarily transverse magnetic field with sinusoidal variation in space and time is analyzed to determine the electromechanical characteristics of the interaction. Interest is centered on conductors with diameters small relative to the wavelength of the applied field. For the sphere, an exact solution is not tractable by standard techniques, hence, a method is utilized in which the force is approximated by one of its components. The results are verified by: 1) applying the approximation to the analogous case of a cylinder and comparing the result with the exact solution to that case, 2) comparing the limit of the approximate solution for the sphere with the result obtained by assuming the magnetic Reynolds number to be small, and 3) determining the net time-average force of electromagnetic origin experimentally for comparison with the predictions of the theory. The latter were carried out for the cylinder as well as the sphere over a range of magnetic Reynolds numbers (sR m = µ 0 σsωD 2 ) from 0.4 to 20. In the course of the work, a method is also utilized in which the original "skin effect" problem is reduced to a problem involving interacting low sR m components and the force is found via the techniques of lumped parameter electromechanics. The study is concluded with a determination of the condition under which two spheres or cylinders are electromagnetically independent so that the results for a distribution of conductors may he obtained by superposition of the results for a single body. Situations which may be modeled using the results of this study include holdup or separation of a highly conducting liquid phase from a two-phase flow in heat transfer apparatus as a result of the application of a magnetic field gradient or the energy conversion in a liquid metal magnetohydrodynamic induction machine with a two-phase working fluid.</description><subject>Conductors</subject><subject>CYLINDERS</subject><subject>Electromagnetic forces</subject><subject>Energy conversion</subject><subject>Heat transfer</subject><subject>Magnetic analysis</subject><subject>MAGNETIC FIELDS</subject><subject>Magnetic liquids</subject><subject>Magnetic separation</subject><subject>MAGNETOHYDRODYNAMICS</subject><subject>MAGNETOHYDRODYNAMICS/interaction of traveling magnetic field with rigid conducting spheres or cylinders</subject><subject>N32520 -Physics-Fluid Physics-Magnetofluid Mechanics</subject><subject>Skin effect</subject><subject>SPHERES</subject><issn>0018-9219</issn><issn>1558-2256</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1967</creationdate><recordtype>article</recordtype><recordid>eNpFkEtLAzEQgIMoWKtXL16C913z2LyOUnwUChWp55BmJ22k3S1JVPrv3aWCp7l83zDzIXRLSU0pMQ9v78tZTY1UtSTanKEJFUJXjAl5jiaEUF0ZRs0lusr5kxDCheQTtJp3BZLzJfYd7gN2uCT3DbvYbfDebToo0eMQYdfin1i2OMVNbLHvu_ZrcAYoH7aQIOM-YX8ctBZSvkYXwe0y3PzNKfp4flrNXqvF8mU-e1xUnmlZKhWEBL_WTDIlPAfSBCocYWtHPG1k0Iq34EEYwoj3ijtlVNDCtS11wwOBT9H9aW-fS7TZxwJ-O9zWgS-2EYoZIQaoPkE-9TknCPaQ4t6lo6XEjuHsGM6O4ewYbhDuTkIEgH-4aTShhv8CUHNqcw</recordid><startdate>19670101</startdate><enddate>19670101</enddate><creator>Thome, R.J.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19670101</creationdate><title>Interaction of a traveling magnetic field with rigid conducting spheres or cylinders</title><author>Thome, R.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c286t-7f56ecb826275c3e04f15a02ba0c146f873dece59020cc73a797f85add1a000f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1967</creationdate><topic>Conductors</topic><topic>CYLINDERS</topic><topic>Electromagnetic forces</topic><topic>Energy conversion</topic><topic>Heat transfer</topic><topic>Magnetic analysis</topic><topic>MAGNETIC FIELDS</topic><topic>Magnetic liquids</topic><topic>Magnetic separation</topic><topic>MAGNETOHYDRODYNAMICS</topic><topic>MAGNETOHYDRODYNAMICS/interaction of traveling magnetic field with rigid conducting spheres or cylinders</topic><topic>N32520 -Physics-Fluid Physics-Magnetofluid Mechanics</topic><topic>Skin effect</topic><topic>SPHERES</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Thome, R.J.</creatorcontrib><creatorcontrib>Massachusetts Inst. of Tech., Cambridge</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Proc. IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Thome, R.J.</au><aucorp>Massachusetts Inst. of Tech., Cambridge</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interaction of a traveling magnetic field with rigid conducting spheres or cylinders</atitle><jtitle>Proc. IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967)</jtitle><stitle>JPROC</stitle><date>1967-01-01</date><risdate>1967</risdate><volume>55</volume><issue>12</issue><spage>2116</spage><epage>2122</epage><pages>2116-2122</pages><issn>0018-9219</issn><eissn>1558-2256</eissn><coden>IEEPAD</coden><abstract>The case of a rigid conducting sphere or cylinder that travels with uniform velocity relative to a two-dimensional primarily transverse magnetic field with sinusoidal variation in space and time is analyzed to determine the electromechanical characteristics of the interaction. Interest is centered on conductors with diameters small relative to the wavelength of the applied field. For the sphere, an exact solution is not tractable by standard techniques, hence, a method is utilized in which the force is approximated by one of its components. The results are verified by: 1) applying the approximation to the analogous case of a cylinder and comparing the result with the exact solution to that case, 2) comparing the limit of the approximate solution for the sphere with the result obtained by assuming the magnetic Reynolds number to be small, and 3) determining the net time-average force of electromagnetic origin experimentally for comparison with the predictions of the theory. The latter were carried out for the cylinder as well as the sphere over a range of magnetic Reynolds numbers (sR m = µ 0 σsωD 2 ) from 0.4 to 20. In the course of the work, a method is also utilized in which the original "skin effect" problem is reduced to a problem involving interacting low sR m components and the force is found via the techniques of lumped parameter electromechanics. The study is concluded with a determination of the condition under which two spheres or cylinders are electromagnetically independent so that the results for a distribution of conductors may he obtained by superposition of the results for a single body. Situations which may be modeled using the results of this study include holdup or separation of a highly conducting liquid phase from a two-phase flow in heat transfer apparatus as a result of the application of a magnetic field gradient or the energy conversion in a liquid metal magnetohydrodynamic induction machine with a two-phase working fluid.</abstract><cop>United States</cop><pub>IEEE</pub><doi>10.1109/PROC.1967.6089</doi><tpages>7</tpages></addata></record> |
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| ispartof | Proc. IEEE (Inst. Elec. Electron. Eng.), 55: 2116-22(Dec. 1967), 1967-01, Vol.55 (12), p.2116-2122 |
| issn | 0018-9219 1558-2256 |
| language | eng |
| recordid | cdi_ieee_primary_1448019 |
| source | IEEE Electronic Library (IEL) |
| subjects | Conductors CYLINDERS Electromagnetic forces Energy conversion Heat transfer Magnetic analysis MAGNETIC FIELDS Magnetic liquids Magnetic separation MAGNETOHYDRODYNAMICS MAGNETOHYDRODYNAMICS/interaction of traveling magnetic field with rigid conducting spheres or cylinders N32520 -Physics-Fluid Physics-Magnetofluid Mechanics Skin effect SPHERES |
| title | Interaction of a traveling magnetic field with rigid conducting spheres or cylinders |
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