POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer

Separation of laminar boundary layer is a great source of loss in energy and power machinery. This paper investigates the entropy generation of the boundary layer on the flat plate with pressure gradient. The velocity of the flow field is measured by a high resolution and time related particle image...

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Main Authors: Chao Jin, Hongwei Ma
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/11/11/3003
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author Chao Jin
Hongwei Ma
author_facet Chao Jin
Hongwei Ma
author_sort Chao Jin
collection DOAJ
description Separation of laminar boundary layer is a great source of loss in energy and power machinery. This paper investigates the entropy generation of the boundary layer on the flat plate with pressure gradient. The velocity of the flow field is measured by a high resolution and time related particle image velocimetry (PIV) system. A method to estimate the entropy generation of each mode extracted by proper orthogonal decomposition (POD) is introduced. The entropy generation of each POD mode caused by mean viscous, Reynolds normal stress, Reynolds sheer stress, and energy flux is analyzed. The first order mode of the mean viscous term contributes almost 100% of the total entropy generation. The first three order modes of the Reynolds sheer stress term contribute less than 10% of the total entropy generation in the fore part of the separation bubble, while it reaches to more than 95% in the rear part of the separation bubble. It indicates that the more unsteady that the flow is, the higher contribution rate of the Reynolds sheer stress term makes. The energy flux term plays an important role in the turbulent kinetic energy balance in the transition region.
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spelling doaj.art-eac241181f8b4bb8b2fb8f32f6b3b1022022-12-22T02:55:42ZengMDPI AGEnergies1996-10732018-11-011111300310.3390/en11113003en11113003POD Analysis of Entropy Generation in a Laminar Separation Boundary LayerChao Jin0Hongwei Ma1School of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaSchool of Energy and Power Engineering, Beihang University, Beijing 100191, ChinaSeparation of laminar boundary layer is a great source of loss in energy and power machinery. This paper investigates the entropy generation of the boundary layer on the flat plate with pressure gradient. The velocity of the flow field is measured by a high resolution and time related particle image velocimetry (PIV) system. A method to estimate the entropy generation of each mode extracted by proper orthogonal decomposition (POD) is introduced. The entropy generation of each POD mode caused by mean viscous, Reynolds normal stress, Reynolds sheer stress, and energy flux is analyzed. The first order mode of the mean viscous term contributes almost 100% of the total entropy generation. The first three order modes of the Reynolds sheer stress term contribute less than 10% of the total entropy generation in the fore part of the separation bubble, while it reaches to more than 95% in the rear part of the separation bubble. It indicates that the more unsteady that the flow is, the higher contribution rate of the Reynolds sheer stress term makes. The energy flux term plays an important role in the turbulent kinetic energy balance in the transition region.https://www.mdpi.com/1996-1073/11/11/3003PODentropy generationboundary layerlaminar separation bubble
spellingShingle Chao Jin
Hongwei Ma
POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
Energies
POD
entropy generation
boundary layer
laminar separation bubble
title POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
title_full POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
title_fullStr POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
title_full_unstemmed POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
title_short POD Analysis of Entropy Generation in a Laminar Separation Boundary Layer
title_sort pod analysis of entropy generation in a laminar separation boundary layer
topic POD
entropy generation
boundary layer
laminar separation bubble
url https://www.mdpi.com/1996-1073/11/11/3003
work_keys_str_mv AT chaojin podanalysisofentropygenerationinalaminarseparationboundarylayer
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