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Smart Structures and Systems
  Volume 29, Number 5, May 2022 , pages 747-755

Hierarchical structure parameters in three dimensional turbulence: She-Leveque model
Imtiaz Ahmad, Lamjed Hadj-Taieb, Muzamal Hussain, Mohamed A. Khadimallah, Muhammad Taj and Adil Alshoaibi

    Hierarchical structure parameters, proposed in She-Leveque model, are investigated for velocity components obtained from different flow types over a large range of Reynolds numbers 255 < ReT < 720. The values of intermittency parameter B, with respect to a fixed velocity component, are observed nearly same for all four types of turbulence. The parameter Y, for streamwise velocity components is nearly the same but significantly different for vertical components in different flows. It is also observed that for both parameters, an obvious relation between the longitudinal and transverse components BT < BL (and YT < YL) always holds. However, the difference between BL and BT is found very small in all types of turbulent flows, we studied here. It is evidenced that at low Reynolds numbers, the deviations from K41 scaling are mainly due to the most intense structures and slightly because of more heterogeneous hierarchy of fluctuation structures. However, at higher Reynolds numbers the deviations seem as a consequence of the most intense structures only. Over all, the study suggests that the hierarchy parameter B may be consider as a universal constant.
Key Words
    hierarchical structure parameters; intermittency; structure functions
Imtiaz Ahmad: Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur-10250 (AJK), Pakistan
Lamjed Hadj-Taieb: College of Engineering, Department of Mechanical Engineering, Prince Sattam Bin Abdulaziz University, 16273, AlKharj, Saudi Arabia; Laboratory of Applied Fluid Mechanics, Processes Engineering and Environment, Department of Mechanical Engineering, National Engineering School of Sfax, University of Sfax, Tunisia
Muzamal Hussain: Department of Mathematics, Government College Universit Faisalabad, Punjab, Pakistan
Mohamed A. Khadimallah: Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, BP 655, Al-Kharj, 11942, Saudi Arabia
Muhammad Taj: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Adil Alshoaibi: Department of Physics, College of Science, King Faisal University, Al-Hassa, P.O. Box 400, Hofuf 31982, Saudi Arabia

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