If Velocity is 9.2 m/s and pipe internal diameter is 8.7 cm, calculate the Reynolds Number.The density of Oil is 880 kg/m3 and viscosity is 5.8 x 10-5 m2/s .
Question
If Velocity is 9.2 m/s and pipe internal diameter is 8.7 cm, calculate the Reynolds Number.The density of Oil is 880 kg/m3 and viscosity is 5.8 x 10-5 m2/s .
Solution
The Reynolds number is a dimensionless quantity that is used to predict the onset of turbulence in fluid flow. It is defined as the ratio of inertial forces to viscous forces and can be calculated using the following formula:
Re = (Density * Velocity * Diameter) / Viscosity
Given the following values:
- Velocity (V) = 9.2 m/s
- Diameter (D) = 8.7 cm = 0.087 m (converted from cm to m)
- Density (ρ) = 880 kg/m^3
- Viscosity (μ) = 5.8 x 10^-5 m^2/s
We can substitute these values into the formula:
Re = (880 kg/m^3 * 9.2 m/s * 0.087 m) / 5.8 x 10^-5 m^2/s
Now, we just need to perform the calculation:
Re = 138.5 x 10^5
So, the Reynolds number for this flow is approximately 1.385 x 10^7.
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