The formula to calculate the Turbulence (Tstress) is:
\[ Tstress = \rho_2 \cdot \mu_{viscosity} \cdot u_f \]
Turbulence will give rise to velocity fluctuations in both the horizontal (velocity u) and vertical (velocity w) directions characterized by u' and w'. The associated momentum fluctuation is called the turbulent stress or Reynolds stress. Density 2 is defined as the density of the fluid at point 2. The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Let's assume the following values:
Using the formula:
\[ Tstress = 700 \cdot 1.02 \cdot 12 \approx 8568 \]
The Turbulence is approximately 8568 Pascal.
| Density 2 (Kilogram per Cubic Meter) | Dynamic Viscosity (Pascal Second) | Fluid Velocity (Meter per Second) | Turbulence (Pascal) |
|---|---|---|---|
| 680 | 1.02 | 12 | 8,323.200000000000728 |
| 690 | 1.02 | 12 | 8,445.600000000000364 |
| 700 | 1.02 | 12 | 8,568.000000000000000 |
| 710 | 1.02 | 12 | 8,690.400000000001455 |
| 720 | 1.02 | 12 | 8,812.799999999999272 |