Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures

Transport Phenomena and Mixing Induced by Vortex Formation in Flow Around Airfoil Using Lagrangian Coherent Structures

Year:    2019

Author:    Jiazhong Zhang, Riaz Ahmad, Asma Farooqi, Jiazhong Zhang, M. Nauman Aslam, Asma Farooqi, M. Nauman Aslam

Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.OA-2018-0119

Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 1231–1245

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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

Author Details

Jiazhong Zhang

Riaz Ahmad

Asma Farooqi

Jiazhong Zhang

M. Nauman Aslam

Asma Farooqi

M. Nauman Aslam

  1. Discrete gas-kinetic scheme-based arbitrary Lagrangian–Eulerian method for moving boundary problems

    Zhan, Ningyu | Chen, Rongqian | You, Yancheng

    Physics of Fluids, Vol. 33 (2021), Iss. 6

    https://doi.org/10.1063/5.0051299 [Citations: 9]
  2. Analysis of low-order modal coherent structures in cavitation flow field based on dynamic mode decomposition and finite-time Lyapunov exponent

    Wu, Yanzhao | Tao, Ran | Yao, Zhifeng | Xiao, Ruofu | Wang, Fujun

    Physics of Fluids, Vol. 35 (2023), Iss. 8

    https://doi.org/10.1063/5.0160667 [Citations: 7]
  3. Treatment of unphysical numerical oscillations via local grid refinement

    Xu, Haosen H. A. | Yang, Xiang I. A.

    Physics of Fluids, Vol. 33 (2021), Iss. 7

    https://doi.org/10.1063/5.0054642 [Citations: 3]
  4. Stretching and folding analysis of fluid based on covariance method

    Wei, Zeming | Wang, Boxuan

    Physica Scripta, Vol. 99 (2024), Iss. 8 P.085611

    https://doi.org/10.1088/1402-4896/ad63e2 [Citations: 0]
  5. A Lagrangian Analysis of Tip Leakage Vortex in a Low-Speed Axial Compressor Rotor

    Hou, Jiexuan | Liu, Yangwei | Tang, Yumeng

    Symmetry, Vol. 16 (2024), Iss. 3 P.344

    https://doi.org/10.3390/sym16030344 [Citations: 3]
  6. The influence of gas volume fractions on deformation and volumetric efficiency of twin-screw multiphase pump based on fluid–thermal–structure coupling numerical calculation

    Zhang, Xuejing | Yang, Junhu | Ma, Chong | Han, Wei | Wei, Deqiang | Lan, Ting

    Physics of Fluids, Vol. 33 (2021), Iss. 7

    https://doi.org/10.1063/5.0055357 [Citations: 7]