CONVECTION IN A STEADY STATE CHIMNEY

We present an axisymmetric model containing only one chimney to study how convection affects the flow in a steady state chimney. We find that the mass fraction of solid in a mush and the depth of a mush when the strength of convection is given. We use the knowledge of the variables in the mush to find the fluid flow in the chimney Our procedure employs the von $K{\acute{a}}rm{\acute{a}}n$-Pohlhausen technique for determining chimney flow and makes use of the fact that the radius of the chimney is much less than the thickness of the mush.