Dip-coating is a method widely used to prepare patterns with thickness control on substrates. Using a solution of an organic semiconductor, the growth of dendritic structures of monolayer and multilayer thickness can be achieved . The thickness as well as the morphology of the deposited layer can be controlled by adjusting the transfer velocity. In this work, we investigate theoretically the formation of dendritic structures by means of a dynamical continuum model. We use thin film equations for solutions derived by a long wave expansion. This approach yields a system of coupled PDEs for the temporal evolution of solution layer thickness and solute concentration. In addition, the conservative part of such equations can be written in a gradient formulation , allowing a self-consistent inclusion of further contributions to the free energy of the system in question.
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