Turbulent channel flow with a porous wall is investigated using direct numerical simulation, where the porous media domain consists of regular or random circular cylinder arrays. We compare the statistics and structure of the mean flow and turbulence in the channel flow with a bulk Reynolds number of 2500 and two porosities ( and 0.8) for the porous media. It is shown that the random interface significantly affects the dynamics of turbulence and the time-averaged flow. More intense mixing is observed near the random interface due to augmented form-induced shear stresses. Due to the strong dependence of induced flow direction on the interface geometry, we segmented the flow field into two types of areas based on the slope angle formed by the top-layer cylinders: the windward area and leeward area. The conditional average of turbulence kinematic energy budget over each type of area reveals their respective role in turbulence transportation more explicitly. In addition, we use finite-time Lyapunov exponents to inspect the Lagrangian coherent structures in the flow fields, which reveal the preferential fluid trajectories in the random porous medium geometry.
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November 2021
Research Article|
November 01 2021
An assessment of turbulence transportation near regular and random permeable interfaces
Wenkang Wang (王文康)
;
Wenkang Wang (王文康)
1
Institute of Aerospace Thermodynamics, University of Stuttgart
, Pfaffenwaldring 31, 70569 Stuttgart, Germany
2
Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart
, Pfaffenwaldring 61, 70569 Stuttgart, Germany
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Guang Yang (杨光)
;
Guang Yang (杨光)
3
Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University
, 200240 Shanghai, China
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Cenk Evrim;
Cenk Evrim
4
Institute of Nuclear Technology and Energy Systems, University of Stuttgart
, Pfaffenwaldring 31, 70569 Stuttgart, Germany
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Alexandros Terzis;
Alexandros Terzis
5
Faculty of Aerospace Engineering, Technion—Israel Institute of Technology
, Haifa 3200003, Israel
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Rainer Helmig;
Rainer Helmig
2
Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart
, Pfaffenwaldring 61, 70569 Stuttgart, Germany
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Xu Chu (初旭)
Xu Chu (初旭)
a)
1
Institute of Aerospace Thermodynamics, University of Stuttgart
, Pfaffenwaldring 31, 70569 Stuttgart, Germany
6
Cluster of Excellence SimTech (SimTech), University of Stuttgart
, Pfaffenwaldring 5a, 70569 Stuttgart, Germany
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 33, 115103 (2021)
Article history
Received:
August 30 2021
Accepted:
October 13 2021
Citation
Wenkang Wang, Guang Yang, Cenk Evrim, Alexandros Terzis, Rainer Helmig, Xu Chu; An assessment of turbulence transportation near regular and random permeable interfaces. Physics of Fluids 1 November 2021; 33 (11): 115103. https://doi.org/10.1063/5.0069311
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