Transport equation for the joint probability density function of velocity and scalars in turbulent flow

SB Pope - The Physics of Fluids, 1981 - pubs.aip.org
The transport equation for the joint probability density function of velocity and scalars is
shown to provide a good basis for modeling turbulent reactive flows. As in the equation for …

A Monte Carlo method for the PDF equations of turbulent reactive flow

SB Pope - 1981 - Taylor & Francis
A Monte Carlo method is presented which simulates the transport equations of joint
probability density functions (pdf's) in turbulent flows.(Finite-difference solutions of the …

The probability approach to the modelling of turbulent reacting flows

SB Pope - Combustion and Flame, 1976 - Elsevier
The formulation of a closed set of averaged equations to describe a turbulent reacting flow is
hindered by highly nonlinear relations between instantaneous quantities. This problem is …

PDF methods for turbulent reactive flows

SB Pope - Progress in energy and combustion science, 1985 - Elsevier
The aim of the methods described is to calculate the properties of turbulent reactive flow
fields. At each point in the flow field, a complete statistical description of the state of the fluid …

The joint pdf of a scalar and its gradient at a point in a turbulent fluid

RE Meyers, EE O'brien - Combustion Science and Technology, 1981 - Taylor & Francis
A closed model equation is derived which describes the evolution of the single-point, joint
probability density function of a reacting scalar and its gradient in a turbulent advection field …

A linear-eddy model of turbulent scalar transport and mixing

AR Kerstein - Combustion Science and Technology, 1988 - Taylor & Francis
Transport and mixing of diffusive scalars in turbulent flows are simulated computationally
based on a novel representation of the temporal evolution along a transverse line moving …

A probability distribution function for turbulent flows

RP Rhodes - Turbulent mixing in nonreactive and reactive flows, 1975 - Springer
There is current interest in being able to account for the presence of fluctuations when
calculating velocity, temperature, and composition distributions in turbulent flow fields with …

A simple recipe for modeling reaction-rate in flows with turbulent-combustion

S Girimaji - 22nd Fluid Dynamics, Plasma Dynamics and Lasers …, 1991 - arc.aiaa.org
In this paper we present a computationally viable scheme to account for chemical reaction in
turbulent flows. The multivariate a· pdf model for multiple scalar nuxing (Girimaji 1991 …

An improved turbulent mixing model

SB Pope - Combustion Science and Technology, 1982 - Taylor & Francis
In application to turbulent reactive flows, both stochastic models and pdf methods require a
model of turbulent mixing. Models currently in use are due to Curl (1963), Dopazo (1979) …

The probability density function (pdf) approach to reacting turbulent flows

EE O'brien - Turbulent reacting flows, 2005 - Springer
Chemically reactive turbulent flows are difficult to predict for the simple reason that neither
turbulent transport nor chemical kinetics, the two important phenomena which form their …