Download Case Studies in Superconducting Magnets: Design and by Yukikazu Iwasa PDF

By Yukikazu Iwasa

Designed for graduate scholars in mechanical engineering, this textbook discusses the fundamental suggestions of superconducting magnet expertise. vital issues coated comprise box distribution, magnets, strength, thermal balance, dissipation, and safeguard. to aid the scholars excel within the box, each one bankruptcy comprises instructional difficulties, followed by means of strategies, using solenoidal magnets as examples.

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3) At r = R, the normal component of ( B r ) is continuous. 4) Similarly, at r = R – d, B r is continuous. 3d) Combining Eqs. 3 From Eqs. 5) Combining Eqs. 6) From Eqs. 7) Combining Eqs. 42) b) We may simplify Eq. 9) In the special case µd/µo R >>1, Eq. 43) c) The same result given by Eq. 43 for H ss /H 0 can be obtained directly by a perturbation approach for the case µ/µ o >> 1 and d/R << 1. We proceed by assuming that µ of the shell material is infinite. We then find that the B lines enter and leave the shell at r = R only normally.

As discussed in the next problem where a superconducting cylinder is considered, a discontinuity in the θ component of the fields at r = R requires a surface current (confined within a thin layer). Because this current, once set up, must flow persistently, it implies that the sphere’s electrical conductivity, like the superconductor’s, must be infinite. As discussed in Chapter 1, a perfectly diamagnetic material must at the same time be a perfect conductor; that is, such a material is automatically a superconductor.

5: The field far from a cluster of four dipoles This problem considers the field far from a cluster of four dipoles arranged as shown in Fig. 7. The center-to-center distance between two opposing dipoles is 2 δ d . 7 indicates the direction of the field inside each dipole. Also defined in Fig. 7 are r- θ coordinates and z-x coordinates common to all the dipoles. 48) Neglect end effects of each dipole. Fig. 7 Cross-sectional view of the four-dipole arrangement. The arrow in each dipole indicates the field direction inside the winding.

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