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Table 1 The physical or mathematical significances of the operators and the parameters used in the simulations

From: Heating-Enhanced Dielectrophoresis for Aligned Single-Walled Carbon Nanotube Film of Ultrahigh Density

  SWCNT (p) Water (m)
σ p,m Conductivity of the particles (p) and the suspending medium (m) 10 S/m 0.2 S/m (20 °C)
0.5 S/m (100 °C)
\( \varepsilon \) p,m Absolute permittivity of the particles and the suspending medium 100 × 8.85 × 10−12 F/m 80 × 8.85 × 10−12 F/m (20 °C)
55 × 8.85 × 10−12 F/m (100 °C)
a, b, c Half lengths of the major ellipsoid axes 1000 nm, 1 nm, 1 nm
v Frequency of electric field 10 MHz
Gradient
〈〉 Time-average value
|| Root mean square (RMS)
\( \tilde{\phi} \) Complex electric potential
Re Real part of a complex expression
Im Imaginary part of a complex expression
\( {\tilde{\varepsilon}}_{p,\ m} \) Complex permittivity of the particles (p) and the suspending medium (m)