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Table 3 Boundary conditions at pillar/air interface

From: Computational analysis of cooling dynamics in photonic-crystal-based thermal switches

  Case B Case C Case D
r = h p /5 \( -\left({k}_p\frac{\partial T}{\partial r}\right)=\left({k}_a\frac{\partial T}{\partial r}\right) \) \( - \left(k\frac{\partial T}{\partial r}\right)=h\left({T}_p-{T}_a\right) \) \( -\left({k}_p\frac{\partial T}{\partial r}\right)=\sigma \varepsilon \left({T}_p^4-{T}_a^4\right) \)
0 ≤ φ ≤ 2π
0 ≤ z ≤ h p