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Analysis of Bernoulli's Equation in LES Turbulence Models

Marashinia, Sara (2007) Analysis of Bernoulli's Equation in LES Turbulence Models. Master's Thesis, University of Pittsburgh. (Unpublished)

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Abstract

In this thesis, we present an analysis of Bernoulli's equation in LES turbulence models. This analysis can be employed for prediction of Lift. Our approach is based on studying thevariation of the Bernoulli pressure in an infinit, inviscid, and incompressible flow along streamlines in different LES models. We prove Bernoulli pressure is constant for Zeroth Order Model(ZOM) and alpha model. However for Leray Regularization and Bardina Model, the Bernoullipressure is likely not constant. We show that Zeroth Order Model and alpha model conserveBernoulli pressure and by our simulation we demonstrate how a very small frictional force inthe fluid can have a major effect on the flow properties i.e. in a different setting of the kinematic viscosity parameter, we observe an approximate conservation of the Bernoulli pressure.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Marashinia, Sarasara.marashinia@gmail.com
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLyton, William Jwjl@pitt.eduWJL
Committee MemberVainchtein, Annaannav@math.pitt.eduAAV4
Committee MemberRebholz, Leoler6@euler.math.pitt.edu
Committee MemberSussman, Mikesussmanm@math.pitt.eduMMS125
Date: 14 June 2007
Date Type: Completion
Defense Date: 25 April 2007
Approval Date: 14 June 2007
Submission Date: 26 April 2007
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: Bernoulli pressure; Bernoulli's equation; LES models
Other ID: http://etd.library.pitt.edu/ETD/available/etd-04262007-165716/, etd-04262007-165716
Date Deposited: 10 Nov 2011 19:42
Last Modified: 15 Nov 2016 13:42
URI: http://d-scholarship.pitt.edu/id/eprint/7668

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