Conductivity of a medium containing a dense array of perfectly conducting square cylinders

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ملخص

In his landmark paper, Keller (J Appl Phys 34:991–993, 1963) obtained an approximation for the effective conductivity of a composite medium made out of a densely packed square array of perfectly conducting circular cylinders embedded in a conducting medium. We here examine Keller’s problem for the case of square cylinders, considering both a full-pattern and a checkerboard configurations. The dense limit is handled using matched asymptotic expansions, where the conduction problem is separately analyzed in the the “local” narrow gap between adjacent cylinders and the “global” region outside the gap. The conduction problem in both regions is solved using conformal-mapping techniques.

اللغة الأصليةالإنجليزيّة
رقم المقال12
دوريةJournal of Engineering Mathematics
مستوى الصوت127
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 10 مارس 2021

All Science Journal Classification (ASJC) codes

  • !!General Engineering
  • !!General Mathematics

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