The Nondimensionalization of the Chemically Reacting Navier-Stokes Equations

Abstract

In this memorandum, we present the nondimensionalization of the chemically reacting Navier-Stokes equations. The scales of the conserved variables often seen in chemically reacting flows are disparate. For instance, energy can be on the order of ten thousand joules per cubic meter and concentrations can be on the order of ten one-thousandths of kilo-moles per cubic meter. This disparity can lead to ill-conditioned linear systems associated with implicit temporal integration, which become more difficult to converge. We demonstrate and derive here a nondimensional state that is utilized within our formulation. Free parameters are established for the nondimensionalization and the choice of their reference values explained. We then demonstrate the change in disparity of values by comparing a nondimensional and dimensional result of a splitter plate simulation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 25, 2022
Accession Number
AD1185191

Entities

People

  • Andrew D. Kercher
  • Ryan F. Johnson

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Chemical Kinetics
  • Chemistry
  • Computational Fluid Dynamics
  • Conductivity
  • Dynamics
  • Equations
  • Flow
  • Fluid Dynamics
  • Heat Flux
  • Hydrogen
  • Kinetics
  • Military Research
  • Molecular Dynamics
  • Molecular Physics
  • Molecular Weight
  • Navier Stokes Equations
  • Physics
  • Simulations
  • Thermal Conductivity
  • Thermodynamic Properties
  • Transport Properties
  • Turbulent Mixing

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.