The analytical and experimental studies of the heat transfer around a vertical ice wall in fresh water near its maximum density temperature

Abstract

The analytical as well as experimental investigations of the temperature and velocity distribution in fresh water along a vertical ice wall are carried out. The analytical investigation involves the simultaneous solution of the continuity equation, the Navier-Stokes equations for fluid motion in two-dimensions and the thermal energy balance equation, by a finite-difference technique. The general form of these equations can then be solved by the successive-substitution method on a digital computer. The experimental investigation involves taking temperature and velocity measurements through the boundary layer along the ice surface at various bulk fluid temperatures. -- The analytical and experimental results are compared, for both the temperature and velocity, the local and average heat transfer coefficients and the Nusselt numbers. -- The analytical model is then extended to other bulk fluid temperatures with predictions for the temperature and velocity profiles, the average heat transfer coefficients and the Nusselt numbers.