Temperature gradient formation across a nematic hybrid-oriented film

(a) Dimensionless temperature profile χ(z/d) across the HOLCC vs distance z/d away from the lower boundary, under influence of the hydrodynamic flow v=Uiˆ(ζ=0.98), directed in the positive verse, calculated for a number of values of α: 0.0009 (curve 1), 0.0007 (curve 2), and 0.0005 (curve 3), respectively. (b), the same as (a), but v=-Uiˆ.