On subgrid scale modeling of evaporating droplets using probability density function methods

Mark D. Carrara; Paul E. DesJardin

doi:10.2514/6.2005-1426

On subgrid scale modeling of evaporating droplets using probability density function methods

Mark D. Carrara
, Paul E. DesJardin

Department of Mechanical and Aerospace Engineering

SUNY Buffalo

Research output: Contribution to conference › Paper › peer-review

Abstract

A new method for the formulation of a probability density function (PDF) transport equation for a separated two-phase flow in the context of LES has been developed and implemented for a two-phase system of disbursed water droplets suspended in a carrier gas. Marginal PDF transport equations are presented for each phase, and a statistically equivalent set of Itô stochastic differential equations are derived for each marginal PDF equation. The system considered consists of a 2D temporally developing counter-flow mixing layer gas phase, one-way coupled to to an initially stagnant dilute disbursed liquid droplet phase. Both phases are formulated in the full velocity-scalar PDF context and simulated via a full 'stand-alone' Lagrangian particle Monte-Carlo procedure.

Original language	English
Pages	11381-11389
Number of pages	9
DOIs	https://doi.org/10.2514/6.2005-1426
State	Published - 2005
Event	43rd AIAA Aerospace Sciences Meeting and Exhibit - Reno, NV, United States Duration: Jan 10 2005 → Jan 13 2005

Conference

Conference	43rd AIAA Aerospace Sciences Meeting and Exhibit
Country/Territory	United States
City	Reno, NV
Period	01/10/05 → 01/13/05

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10.2514/6.2005-1426

Cite this

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abstract = "A new method for the formulation of a probability density function (PDF) transport equation for a separated two-phase flow in the context of LES has been developed and implemented for a two-phase system of disbursed water droplets suspended in a carrier gas. Marginal PDF transport equations are presented for each phase, and a statistically equivalent set of It{\^o} stochastic differential equations are derived for each marginal PDF equation. The system considered consists of a 2D temporally developing counter-flow mixing layer gas phase, one-way coupled to to an initially stagnant dilute disbursed liquid droplet phase. Both phases are formulated in the full velocity-scalar PDF context and simulated via a full 'stand-alone' Lagrangian particle Monte-Carlo procedure.",

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doi = "10.2514/6.2005-1426",

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AU - Carrara, Mark D.

AU - DesJardin, Paul E.

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AB - A new method for the formulation of a probability density function (PDF) transport equation for a separated two-phase flow in the context of LES has been developed and implemented for a two-phase system of disbursed water droplets suspended in a carrier gas. Marginal PDF transport equations are presented for each phase, and a statistically equivalent set of Itô stochastic differential equations are derived for each marginal PDF equation. The system considered consists of a 2D temporally developing counter-flow mixing layer gas phase, one-way coupled to to an initially stagnant dilute disbursed liquid droplet phase. Both phases are formulated in the full velocity-scalar PDF context and simulated via a full 'stand-alone' Lagrangian particle Monte-Carlo procedure.

UR - https://www.scopus.com/pages/publications/30744432381

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DO - 10.2514/6.2005-1426

M3 - Paper

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EP - 11389

T2 - 43rd AIAA Aerospace Sciences Meeting and Exhibit

Y2 - 10 January 2005 through 13 January 2005

ER -

On subgrid scale modeling of evaporating droplets using probability density function methods

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