Question

In a turbulent pipe flow, root-mean-square (RMS) values of velocities in 3D directions are

$\overline{u^1}=10m/s$
$\overline{v^1}=20m/s$
$\overline{w^1}=45m/s$

The degree of turbulence velocity value is

• A. $29m/s$
• B. $25m/s$
• C. $50m/s$
• D. $39m/s$

Answer 1

The correct option is A $29m/s$

Degree (or) level of turbulence =

$\sqrt{\frac{{\overline{u^1}}^2+{\overline{v^1}}^2+{\overline{w^1}}^2}{3}}$

$=\sqrt{\frac{{10}^2+{20}^2+{45}^2}{3}}=\sqrt{\frac{2525}{3}}=\sqrt{842}=29$