Thermally excited vortical flow in a microsized nematic cell

Heat Driven Flows in Microsized Nematic Volumes: Computational Studies and Analysis

“…According to these calculations the highest value of |∇ n(x, z)| is reached in the vicinity of the orientational defect and its effect extends up to 3/4 of the thickness of the nematic volume. [13,26,27], respectively. The heating occurs during the dimensionless time τ in = 1.6 × 10 −4 (∼0.29 ms), whereas the value of dimensionless heat flux coefficient…”

“…q 0 is equal to 0.05. The distribution of the velocity v in the microscopic HAN channel with the orientational defect located at −L ≤ x ≤ L, z = −1, when the heat flux q is directed at two values of the angle α, 20 • and 40 • with respect to the lower bounding surface, is characterized by maintaining of vortices as shown in Figure 18a,b [13,26,27], respectively. Here, 1 mm of the arrow length is equal to 1.8 µm/s.…”

“…The evolution of both the velocity v = u î + w k = −∇ × ĵψ and the temperature χ(τ = τ in , x, z) fields over the nematic microvolume with the orientational defect located on the lower boundary of the HAN channel as the function of the angle α are shown in Figures 18-23, respectively. The distribution of the velocity field v in the microscopic nematic volume with the orientational defect located at −L ≤ x ≤ L, z = −1, when the laser beam is directed at the values of the angle α equal to 20 • and 40 • (Figure 18a,b), 60 • and 80 • (Figure 19a,b), 90 • (Figure 20), 100 • and 120 • (Figure 21a,b), 140 • and 160 • (Figure 22a,b) are shown in Figures 18-22[13,26,27], respectively. The heating occurs during the dimensionless time τ in = 1.6 × 10 −4 (∼0.29 ms), whereas the value of dimensionless heat flux coefficientQ 0 = d…”

“…Figure 18. Distribution of the velocity field v = u î + w k = −∇ × ĵψ in the microscopic HAN channel with the orientational defect located at −L ≤ x ≤ L, z = −1, when the heat flux q is directed at two values of the angle α: (a) 20 • and (b) 40 •[12,26,27], respectively. The heating occurs during time τ in = 1.6 × 10 −4 (∼0.29 ms), whereas the value of dimensionless heat flux coefficient Q 0 is equal to 0.05.…”

“…The heating occurs during time τ in = 1.6 × 10 −4 (∼0.29 ms), whereas the value of dimensionless heat flux coefficient Q 0 is equal to 0.05. Here 1 mm of the arrow length is equal to 1.8 µm/s[13,26,27].…”