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Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics

Part of: General aerodynamics and subsonic flows Stability Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  03 May 2017

Shengli Cao ,
Wei Wang ,
Jiazhong Zhang  and
Yan Liu
Shengli Cao*
Affiliation:
School of Power and Energy Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
Wei Wang*
Affiliation:
School of Power and Energy Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
Jiazhong Zhang*
Affiliation:
School of Power and Energy Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R. China
Yan Liu*
Affiliation:
School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, 710072, P.R. China
*
*Corresponding author. Email addresses:csl1993@stu.xjtu.edu.cn (S. L. Cao), weiwwang@foxmail.com (W. Wang), jzzhang@mail.xjtu.edu.cn (J. Z. Zhang), liuyan@nwpu.edu.cn (Y. Liu)
*Corresponding author. Email addresses:csl1993@stu.xjtu.edu.cn (S. L. Cao), weiwwang@foxmail.com (W. Wang), jzzhang@mail.xjtu.edu.cn (J. Z. Zhang), liuyan@nwpu.edu.cn (Y. Liu)
*Corresponding author. Email addresses:csl1993@stu.xjtu.edu.cn (S. L. Cao), weiwwang@foxmail.com (W. Wang), jzzhang@mail.xjtu.edu.cn (J. Z. Zhang), liuyan@nwpu.edu.cn (Y. Liu)
*Corresponding author. Email addresses:csl1993@stu.xjtu.edu.cn (S. L. Cao), weiwwang@foxmail.com (W. Wang), jzzhang@mail.xjtu.edu.cn (J. Z. Zhang), liuyan@nwpu.edu.cn (Y. Liu)

Abstract

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The lobe dynamics andmass transport between separation bubble and main flow in flow over airfoil are studied in detail, using Lagrangian coherent structures (LCSs), in order to understand the nature of evolution of the separation bubble. For this problem, the transient flow over NACA0012 airfoil with low Reynolds number is simulated numerically by characteristic based split (CBS) scheme, in combination with dual time stepping. Then, LCSs and lobe dynamics are introduced and developed to investigate themass transport between separation bubble and main flow, from viewpoint of nonlinear dynamics. The results show that stable manifolds and unstable manifolds could be tangled with each other as time evolution, and the lobes are formed periodically to induce mass transport between main flow and separation bubble, with dynamic behaviors. Moreover, the evolution of the separation bubble depends essentially on the mass transport which is induced by lobes, ensuing energy and momentum transfers. As the results, it can be drawn that the dynamics of flow separation could be studied using LCSs and lobe dynamics, and could be controlled feasibly if an appropriate control is applied to the upstream boundary layer with high momentum.

Keywords

Mass transportseparation bubbleLagrangian coherent structureslobe dynamics

MSC classification

Secondary: 35Q35: PDEs in connection with fluid mechanics 35Q30: Navier-Stokes equations 76G25: General aerodynamics and subsonic flows 93D05: Lyapunov and other classical stabilities (Lagrange, Poisson, $L^p, l^p$, etc.) 86-08: Computational methods

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 1 , July 2017 , pp. 285 - 302
Copyright
Copyright © Global-Science Press 2017 

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