Joseph W. Hoff

Time-dependent equations governing the shape of a three-dimensional liquid curtain

In a previous paper, Weinstein et al. derive time-dependent equations that govern the response of a planar liquid curtain falling under the influence of gravity and subjected to ambient pressure disturbances. In the previous study, disturbances to the curtain are assumed to be two-dimensional, and thus, the curtain response is independent of widthwise location in the curtain. In this paper, we generalize the previous equations to incorporate the widthwise dimension. The validity of these equations is demonstrated by their ability to predict standing wave shapes in agreement with those studied by Lin and Roberts.