Liquid-Vapor Phase Transition: Thermomechanical Theory, Entropy Stable Numerical Formulation, and Boiling Simulations

Abstract

We develop a new continuum mechanics modeling framework for liquid-vapor flows, with particular focus on the van der Waals fluid. By invoking microforce theory, the Coleman-Noll procedure is generalized to derive consistent constitutive relations in the presence of nonlocal effects. A new thermodynamically consistent algorithm for the van der Waals model is designed, using functional entropy variables and a new temporal scheme employing a family of new quadrature rules. We show that the resulting fully discrete scheme is unconditionally stable in entropy and second-order time-accurate. Isogeometric analysis is utilized for spatial discretization. The analytical properties of the formulation are corroborated by benchmark problems. Three sets of application problems are simulated to demonstrate the capability of the model and the algorithm. Our methodology provides a particularly useful predictive tool for boiling flows.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2015
Accession Number
ADA620025

Entities

People

  • Chad M. Landis
  • Hector Gomez
  • Ju Liu
  • Thomas J.R. Hughes

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computational Science
  • Critical Temperature
  • Fluid Flow
  • Heat Energy
  • Heat Transfer
  • Isothermal Processes
  • Latent Heat
  • Mechanics
  • Navier Stokes Equations
  • Phase Transformations
  • Simulations
  • Specific Heat
  • Temperature Gradients
  • Thermodynamic Properties
  • Thermodynamics
  • Transitions
  • Vapor Phases

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)