Abstract
When a fluid liquid interface joins a solid boundary a common line is formed, this line will be referre to as the contact line. The main objective of this paper is to obtain explicit solutions of the governing equations of fluid mechanics for viscous flow of a liquid, in the vicinity of a stationary contact line. In each case we have indicated the procedure for developing locally consistent asymptotic expansions for the flow field and the shape of the free surface, with explicit solutions mostly for the first two terms only. Apart from arbitrary constants of the type f'(0; Aj+1) y which are to be determined by the distant driving mechanisms, the flow field and the shape of free surface are completely determined by the contact angle 0(1 and the local arbitrary parameter pQ. However, mainly due to difficulties in labelling the eigen-values and partly because of the size of the paper, in this part we present results for wetting liquids only.
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