Industrial & Engineering Chemistry Research, Vol.34, No.11, 4078-4086, 1995
Spreading of Liquid Point Sources over Inclined Solid-Surfaces
The spreading of a wetting liquid introduced as a distributed source over solid surfaces has many interesting practical applications in heat and mass transfer contacting devices. This work analyzes the spreading of Liquid over inclined flat surfaces. This study is the first of a program designed to understand the development of film flows from drip points over ordered packing in packed beds used in heat and mass transfer applications. The free surface of the liquid stream introduced as a point source retains a shape similar to a Gaussian or exponential distribution as it spreads down the solid surface, increasing the surface area as well as distribution of flow over the surface. The three-dimensional flow field, described using a 3D vector potential function, satisfies continuity and the first-order terms of the Navier-Stokes equations in the main direction of flow and in the direction normal to the main direction of now. A viscous long-wave approximation was used to derive a film evolution equation and the kinematic boundary condition at the free surface. Experiments were carried out with fluids of two different viscosities and at varying inclination angles of the solid surface.