# FINAL PROJECT REPORT DOE Early Career Principal Investigator Program Project Title: Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach

## Abstract

This final project report summarizes progress made towards the objectives described in the proposal entitled “Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach”. Substantial progress has been made in theory, modeling and numerical simulation of turbulent multiphase flows. The consistent mathematical framework based on probability density functions is described. New models are proposed for turbulent particle-laden flows and sprays.

- Authors:

- Publication Date:

- Research Org.:
- Iowa State University

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 950421

- Report Number(s):
- DOE/ER/25550-2

- DOE Contract Number:
- FG02-03ER25550

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; multiphase flows; mathematical models; computational models; Lagrangian-Eulerian and Eulerian-Eulerian consistency; probability density function method for multiphase flow; dual-timescale Langevin model; equilibration of energy concept; DLM; EEM; multiscale modeling; multiscale interaction timescale; turbulent particle-laden flow; turbulent multiphase flow

### Citation Formats

```
Shankar Subramaniam.
```*FINAL PROJECT REPORT DOE Early Career Principal Investigator Program Project Title: Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach*. United States: N. p., 2009.
Web.

```
Shankar Subramaniam.
```*FINAL PROJECT REPORT DOE Early Career Principal Investigator Program Project Title: Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach*. United States.

```
Shankar Subramaniam. Wed .
"FINAL PROJECT REPORT DOE Early Career Principal Investigator Program Project Title: Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach". United States.
```

```
@article{osti_950421,
```

title = {FINAL PROJECT REPORT DOE Early Career Principal Investigator Program Project Title: Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach},

author = {Shankar Subramaniam},

abstractNote = {This final project report summarizes progress made towards the objectives described in the proposal entitled “Developing New Mathematical Models for Multiphase Flows Based on a Fundamental Probability Density Function Approach”. Substantial progress has been made in theory, modeling and numerical simulation of turbulent multiphase flows. The consistent mathematical framework based on probability density functions is described. New models are proposed for turbulent particle-laden flows and sprays.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Apr 01 00:00:00 EDT 2009},

month = {Wed Apr 01 00:00:00 EDT 2009}

}

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