• Magnetization curves for general cylindrical samples in a transverse field

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      https://www.ias.ac.in/article/fulltext/pram/057/04/0763-0774

    • Keywords

       

      Magnetization curves; Bean; critical state model; hysteresis curves

    • Abstract

       

      Using the recent results for the surface current density on cylindrical surfaces of arbitrary cross-section producing uniform interior magnetic field we propose a method for obtaining solutions of Bean’s critical state model for general cylindrical samples. The method uses the technique of conformal mapping to express the sample surface and the flux-fronts in terms of a set of coefficients that depend on a parameter. The flux-fronts are to be determined by solving a system of nonlinear ordinary differential equations for the coefficients. Retaining only a certain finite number of leading coefficients we get an approximate solution. The procedure is illustrated by considering two cyclindrical samples — one with an elliptical cross-section and the other with a non-elliptical cross-section. The virgin curve and small and large magnetization hysteresis loops for the two samples are obtained.

    • Author Affiliations

       

      KV Bhagwat1 Debjani Karmakar1

      1. Technical Physics and Prototype Engineering Division, Bhabha Atomic Research Centre, Trombay, Mumbai - 400 085, India
    • Dates

       
  • Pramana – Journal of Physics | News

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