Marashinia, Sara
(2007)
Analysis of Bernoulli's Equation in LES Turbulence Models.
Master's Thesis, University of Pittsburgh.
(Unpublished)
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
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Status: |
Unpublished |
Creators/Authors: |
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ETD Committee: |
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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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