The theoretical description of the reorientational dynamics in a thin bidirectionally aligned liquid crystal cell (BALC), where the nematic sample is confined by two horizontal and two lateral surfaces, under the influence of a temperature gradient ∇T
is presented. We have carried out a numerical study of the system of hydrodynamic equations including director reorientation, fluid flow v
, and the temperature redistribution across the BALC cell under the influence of ∇T
, when the sample is heated both from below and from above. Calculations show that, due to interaction between the gradient of the director field ∇
, the BALC sample settles down to a stationary bi-vortical flow regime. As for a nematogenic material, we have considered the BALC cell to be occupied by 4 − n
, and investigated the effect of both ∇
on the magnitude and direction of v
, for a number of hydrodynamic regimes.