Turbulence in a wall-wake flow downstream of two horizontal cylinders

Abstract

Experimental investigations of flow past two (one above other) horizontal cylinders have been presented in this paper. The experimental data captured over a rough-bed with double cylinders having three different diameters, were used for the analysis. Firstly, general characteristics such as streamwise velocity, Reynolds shear stress and turbulence intensity profiles have been elucidated at different downstream locations from cylinder position; then some advanced analysis such as length scales, turbulent kinetic energy (TKE) fluxes and budget have been investigated to exhibit their variations. Length scale profiles exhibit higher values in near bed; indicating comparatively larger eddies’ downstream of both cylinders. TKE budget profiles indicate highly negative pressure energy diffusion rate together with a sufficient TKE production rate, stabilized by the amplified TKE diffusion and dissipation rates. To determine one of the most prime behaviors of turbulence characteristics, namely TKE dissipation rate more accurately, the concept of structure function has been employed. Primarily velocity gradient method elucidates TKE dissipation rate, then it has been verified by Kolmogorov’s two-thirds law using second order structure function and Kolmogorov’s − 5/3 law using the method of power spectra.

Keywords:

• Open channel flow
• turbulence
• bluff body hydrodynamics
• TKE dissipation rate
• structure function
• TKE budget

Disclosure statement

No potential conflict of interest was reported by the authors.

Acknowledgement

The first author Mosedul Sarkar thanks DST-Inspire, Department of Science and Technology, Government of India (DST/INSPIRE/Fellowship/IF190604) for the financial support.