A numerical formulation of the Second Law of Thermodynamics is applied to problems involving solid-liquid phase change with fluid flow. This formulation includes iterative phase-temperature rules involving discrete analogies of the Second Law, as well as entropy based predictive and corrective steps for stable, accurate computations. Applications dealing with transient heat conduction, species transport, and melting and solidification with natural convection are examined in the current article. Close agreement between computed results (with entropy based corrective steps) and analytical / experimental data is achieved. Several characteristics of the overall formulation, such as numerical stability and phase interface predictions, are enhanced by the Second Law contributions. As a result, these application problems illustrate the importance of the Second Law as an effective complement to the discretized conservation equations in phase change computations with fluid flow.
Posted on: Thu, 19 Sep 2013 17:09:53 +0000