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Introduction
Boundary layer flow is the region in the vicinity of a solid surface where the velocity of the fluid changes from zero at the wall to the free-stream value at some given distance from the wall. The study of boundary layer flow has important implications in various fields such as aerodynamics, heat transfer, and fluid mechanics. In this paper, we present an experimental study of the wall shear stress distribution in laminar and supercritical flow over a cylindrical body.
Research Objectives
The main objective of the present study is to investigate the distribution of wall shear stress in laminar and supercritical flow over a cylindrical body. The study aims to provide a better understanding of the behavior of boundary layer flow in different flow regimes and to explore the influence of the Reynolds number on the wall shear stress distribution.
Experimental Setup
The experimental setup consists of a wind tunnel, a test section, and a cylindrical body. The wind tunnel is capable of producing a laminar or turbulent flow with variable velocity and Reynolds number. The test section has a rectangular cross-section and is equipped with a pressure tap system to measure the pressure distribution along the surface of the cylindrical body. The cylindrical body has a diameter of D, a length of L, and is mounted horizontally in the test section. The surface of the cylindrical body is treated with a thin coat of oil to enable the visualization of the flow pattern using the oil flow technique.
Data Collection and Analysis
The experiments were carried out by varying the Reynolds number from 500 to 5000 for both laminar and supercritical flow regimes. The wall shear stress was determined by measuring the pressure distribution along the surface of the cylindrical body using the hot-wire anemometer technique. The results were analyzed to determine the distribution of wall shear stress along the surface of the cylindrical body.
Results and Discussion
The results indicate that the wall shear stress distribution depends strongly on the Reynolds number and the flow regime. In laminar flow, the wall shear stress distribution is symmetric with respect to the mid-point of the cylindrical body. However, in supercritical flow, the wall shear stress distribution becomes asymmetric with a peak value occurring near the rear-end of the cylindrical body. This is attributed to the occurrence of flow separation and the formation of a recirculation zone near the rear-end of the cylindrical body.
Conclusion
In conclusion, the present study provides a comprehensive investigation of the distribution of wall shear stress in laminar and supercritical flow over a cylindrical body. The results indicate that the wall shear stress distribution is strongly influenced by the Reynolds number and the flow regime. The findings of this study have important implications in the design of fluid handling systems and the development of numerical models for predicting fluid flow behavior in various applications.