Turbulence Lab Worksheet, Exercises of Fluid Mechanics

A worksheet for the Turbulence Lab in the CE 319F Elementary Mechanics of Fluids course at The University of Texas at Austin. It includes equations and instructions for calculating the Reynolds number, boundary layer thickness, and wall shear stress based on PIV measurements. intended for students to practice these calculations.

Typology: Exercises

2021/2022

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Name_____________________________ Lab Section_______________
Composed by Rachel Chisolm 4/30/12 with the supervision of Prof. S.A. Kinnas
Turbulence Lab Worksheet
CE 319F Elementary Mechanics of Fluids
Department of Civil, Architectural and Environmental Engineering
The University of Texas at Austin
The equation for the Reynolds number is:
The thickness of the boundary layer at the point of measurement can be calculated as:
The shear stress at the wall is:
In our PIV experiment:
Mean flow Velocity = 0.066 m/s
Characteristic dimension L= 3.2 m (distance from the inlet of the flume to the point of
measurement)
At 20oC for water, ν = 10-6 m2/s
From the PIV measurements, we obtain the velocity gradient at the wall
1) Calculate the Reynolds number
Re = ___________________________________
2) Calculate the boundary layer thickness for a temperature of 20°C at a distance 3.2 m from the
inlet.
δ = ____________________________________
3) Calculate the wall shear stress
τ0 = ____________________________________

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Name_____________________________ Lab Section_______________

Composed by Rachel Chisolm 4/30/12 with the supervision of Prof. S.A. Kinnas

Turbulence Lab Worksheet

CE 319F Elementary Mechanics of Fluids Department of Civil, Architectural and Environmental Engineering The University of Texas at Austin

The equation for the Reynolds number is:

The thickness of the boundary layer at the point of measurement can be calculated as:

The shear stress at the wall is:

In our PIV experiment:

Mean flow Velocity = 0.066 m/s

Characteristic dimension L= 3.2 m (distance from the inlet of the flume to the point of

measurement)

At 20oC for water, ν = 10-6^ m^2 /s

From the PIV measurements, we obtain the velocity gradient at the wall

  1. Calculate the Reynolds number

Re = ___________________________________

  1. Calculate the boundary layer thickness for a temperature of 20°C at a distance 3.2 m from the inlet.

δ = ____________________________________

  1. Calculate the wall shear stress

τ 0 = ____________________________________