PREDICTIVE ENTROPY BASED CORRECTION OF PHASE CHANGE COMPUTATIONS WITH FLUID FLOW - PART 1: SECOND LAW FORMULATION
- 1 June 2000
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 37 (4) , 393-414
- https://doi.org/10.1080/10407790050051119
Abstract
A numerical formulation involving the Second Law of Thermodynamics is examined in the analysis of phase change problems with fluid flow. The discretized entropy transport equation and entropy boundary conditions are described for solid-liquid systems. In addition, the downward concavity and compatibility properties of entropy are applied in a discrete entropy based stability analysis. Discrete analogies of the Second Law provide a physical basis for nonlinear phase-temperature iterations in the energy equation. The numerical formulation includes both corrective steps for accuracy improvements (entropy based diffusivity) as well as predictive steps (entropy based time constraint) for stable computations. It is anticipated that this Second Law formulation can provide an effective enhancement for accurate simulations in phase change problems with fluid flow.Keywords
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