Volume 12, Issue 4
Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures

Riaz Ahmad, Jiazhong Zhang, Asma Farooqi & M. Nauman Aslam

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 1231-1245.

Published online: 2019-06

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  • Abstract

In this study, mass transport between separation bubbles and the flow around a two-dimensional airfoil are numerically investigated using Lagrangian Coherent Structures (LCSs). Finite Time Lyapunov Exponent (FTLE) technique is used for the computation to identify invariant manifolds and LCSs. Moreover, the Characteristic Base Split (CBS) scheme combined with dual time stepping technique is applied to simulate such transient flow at low Reynolds number. We then investigate the evolution of vortex structures during the transport process with the aid of LCSs. To explore the vortex formation at the surface of the airfoil, the dynamics of separatrix is also taken into account which is formed by the combination of stable (unstable) manifold. The Lagrangian analysis gives a detailed understanding of vortex dynamics and separation bubbles which plays a significant role to explore the performance of the unsteady flow generated by an airfoil. Transport process and flow separation phenomena are studied extensively to analyze the flow pattern by the Lagrangian point of view.

  • Keywords

Transport phenomena, CBS method, vortex formation, Lagrangian coherent structures, stable (unstable) manifold.

  • AMS Subject Headings

76M10, 80M10, 76D17, 37L25

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COPYRIGHT: © Global Science Press

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@Article{NMTMA-12-1231, author = {Ahmad , Riaz and Zhang , Jiazhong and Farooqi , Asma and Aslam , M. Nauman }, title = {Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2019}, volume = {12}, number = {4}, pages = {1231--1245}, abstract = {

In this study, mass transport between separation bubbles and the flow around a two-dimensional airfoil are numerically investigated using Lagrangian Coherent Structures (LCSs). Finite Time Lyapunov Exponent (FTLE) technique is used for the computation to identify invariant manifolds and LCSs. Moreover, the Characteristic Base Split (CBS) scheme combined with dual time stepping technique is applied to simulate such transient flow at low Reynolds number. We then investigate the evolution of vortex structures during the transport process with the aid of LCSs. To explore the vortex formation at the surface of the airfoil, the dynamics of separatrix is also taken into account which is formed by the combination of stable (unstable) manifold. The Lagrangian analysis gives a detailed understanding of vortex dynamics and separation bubbles which plays a significant role to explore the performance of the unsteady flow generated by an airfoil. Transport process and flow separation phenomena are studied extensively to analyze the flow pattern by the Lagrangian point of view.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2018-0119}, url = {http://global-sci.org/intro/article_detail/nmtma/13222.html} }
TY - JOUR T1 - Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures AU - Ahmad , Riaz AU - Zhang , Jiazhong AU - Farooqi , Asma AU - Aslam , M. Nauman JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 1231 EP - 1245 PY - 2019 DA - 2019/06 SN - 12 DO - http://dor.org/10.4208/nmtma.OA-2018-0119 UR - https://global-sci.org/intro/nmtma/13222.html KW - Transport phenomena, CBS method, vortex formation, Lagrangian coherent structures, stable (unstable) manifold. AB -

In this study, mass transport between separation bubbles and the flow around a two-dimensional airfoil are numerically investigated using Lagrangian Coherent Structures (LCSs). Finite Time Lyapunov Exponent (FTLE) technique is used for the computation to identify invariant manifolds and LCSs. Moreover, the Characteristic Base Split (CBS) scheme combined with dual time stepping technique is applied to simulate such transient flow at low Reynolds number. We then investigate the evolution of vortex structures during the transport process with the aid of LCSs. To explore the vortex formation at the surface of the airfoil, the dynamics of separatrix is also taken into account which is formed by the combination of stable (unstable) manifold. The Lagrangian analysis gives a detailed understanding of vortex dynamics and separation bubbles which plays a significant role to explore the performance of the unsteady flow generated by an airfoil. Transport process and flow separation phenomena are studied extensively to analyze the flow pattern by the Lagrangian point of view.

Riaz Ahmad, Jiazhong Zhang, Asma Farooqi & M. Nauman Aslam. (2019). Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures. Numerical Mathematics: Theory, Methods and Applications. 12 (4). 1231-1245. doi:10.4208/nmtma.OA-2018-0119
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