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Revista de la Facultad de Ingeniería Universidad Central de Venezuela
versión impresa ISSN 0798-4065
Resumen
WILISKI G, Silvia A y LOPEZ DE RAMOS, Aura. Capillary flow velocity at corners: comparison of two cross section area calculation methods. Rev. Fac. Ing. UCV [online]. 2014, vol.29, n.3, pp.73-81. ISSN 0798-4065.
This research was aimed at comparing the results of applying a model for approximating the flow area of triangular filaments and a rigorous model for calculating the flow cross-sectional area. An experimental setup was built to display the exhaustion of a bridge of liquid within a capillary due to the formation and advance of filaments the corners. The depletion rate for liquid bridge for three substances was determined as well as the flow rate displaced by the liquid filaments, by using a mass balance. The cross-sectional flow area for each filament was determined by two models, one approximating the area to a triangle and the other more rigorous considering the geometry of the corner and the curvature of the free surface of the filaments. The flow rate of the filaments was also calculated for each case, considering the effects of the gravity force negligible. The results for each model were compared and differences in the value of the flow rates obtained in each one were found. The rigorous model provided the closest values to the expected ones within the laminar regime for capillary flow values. The approximate model is considerably away than expected, with differences increased for smaller contact angles due to increased curvature of the free surface, reaching even higher values of the order of 1000 %. An increase in the differences between the two models for bending radii larger corner (major imperfections) would be expected. We conclude that for calculating the flow velocities, the cross sectional area of the filaments must be strictly determined, in order to obtain values closest to the actual results.
Palabras clave : Capillary flow at corners; Porous media; Liquid filaments; Capillarity; Real corner.