Surface tension gradients can cause mass transfer (Marangoni effect). We investigated
thermocapillary in homeotropic oriented nematic liquid crystals. The heating process
was performed with a Gaussian laser profile. The upper surface of the cell is free and the
bottom has hard anchoring conditions. Upon assuming the fluid is incompressible, the
hydrodynamic equations that explain the system shifts can be derived from the balance
of torques, Navier-Stokes and heat equation. The heat equation is written for anisotropic
area. We investigated the problem of the existence of vertical magnetic field. We found
that the magnetic field can affect the system.