- Author
-
Baum, H. R.
- Title
- Analysis of Turbulent Mixing Layers Using a Two Equation Model of Turbulence.
- Coporate
- National Bureau of Standards, Gaithersburg, MD
- Book or Conf
- U.S./Japan Government Cooperative Program on Natural Resources (UJNR). Panel on Fire Research and Safety. Volume 5. Fire Modeling. October 19-22, 1976,
Tokyo, Japan,
1-45 p.,
1976
- Keywords
-
fire research
|
fire safety
|
fire models
|
turbulence
|
turbulent mixing
|
equations
|
velocity
|
temperature
|
kinetics
|
temperature fluctuations
|
prandtl number
- Abstract
- The turbulent mixing of two streams is studied analytically using the Spalding kappa-epsilon model of turbulent shear flow. Approximate closed form solutions are obtained for the velocity, temperature, kinetic energy, and themperature fluctuation profiles. The solutions are shown to be ighly accurate and they predict the experimentally measured mixing layer growth quite well. The kappa-epsilon model profiles in the turbulent--non-turbulent interface are also obtained in closed form. The results indicate that some of the numerical boundary conditons used in finite difference solutions of these equations are inconsistent. Moreover, values of the turbulent Prandtl number les than 0.7 lead to infinite temperature gradients at the turbulent--non-turbulent interface.