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# Characteristics of the flow past a wall-mounted finite-length square cylinder at low Reynolds number with varying boundary layer thickness

[+] Author and Article Information
Sachidananda Behera

Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur-208016, India
sbehera@iitk.ac.in

Arun Saha

Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur-208016, India
aksaha@iitk.ac.in

1Corresponding author.

ASME doi:10.1115/1.4042751 History: Received April 25, 2018; Revised January 17, 2019

## Abstract

Direct numerical simulation (DNS) is performed to investigate the modes of shedding of the wake of a wall-mounted finite-length square cylinder with an aspect ratio of $7$ for six different boundary layer thickness (0.0-0.30) at a Reynolds number of 250. For all the cases of wall boundary layer considered in the present study, two modes of shedding namely, anti-symmetric and symmetric modes of shedding were found to coexist in the cylinder wake with symmetric one occurring intermittently for a smaller time duration. The phase-averaged flow field revealed that the symmetric modes of shedding occurs only during instances when the near wake experiences the maximum strength of upwash/downwash flow. The boundary layer thickness seems to have a significant effect on the area of dominance of both downwash and upwash flow in instantaneous and time-averaged flow field. It is observed that the near-wake topology and the total drag force acting on the cylinder are significantly affected by the bottom-wall boundary layer thickness.The overall drag coefficient is found to decrease with thickening of the wall boundary layer thickness.

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