ABSTRACT

The Hele-Shaw apparatus produces a flow pattern which is similar to that of potential flow. It is an analogy experiment known as Hele-Shaw analogy. The Hele-Shaw apparatus produces a flow pattern which is similar to that of potential flow. It is an analogy experiment known as Hele-Shaw analogy. The analogy between shallow water flow with a free-surface and two-dimensional gas flow has been found to be useful for qualitative as well as quantitative study of high-speed flows. The basic governing equations of flow of an incompressible fluid with a free-surface, in which the depth of the flow is small compared to its surface wave length, forms the shallow water theory. The effect of ignoring the surface tension and the vertical acceleration imposes a limitation on the choice of water depth. The Hele-Shaw apparatus produces a flow pattern which is similar to that of potential flow. It is an analogy experiment known as Hele-Shaw analogy.