GRAVITATIONAL FLOODING OF A HOT SOLID HORIZONTAL SURFACE BY WATER

Gravitational flooding of a very hot horizontal surface by water resul ts in a two-phase flow with very interesting flow properties The purpo se of this work is to demonstrate some properties of such flows by ana lysing the properties of the mathematical model describing the flow. W ith some simplifications the problem can be reduced to a system of thr ee hyperbolic partial differential equations. Eigenvalues, eigenvector s and canonical form are obtained. The criticality condition is obtain ed from the system describing the steady state. The system of partial differential equations is made dimensionless, and physical scaling cri teria are obtained.