If Velocity is 6 m/s and pipe internal diameter is 11 cm, calculate the Reynolds Number.The density of Oil is 890 kg/m3 and the viscosity of the oil is 5.29 x 10-3 Pa-s.
Question
If Velocity is 6 m/s and pipe internal diameter is 11 cm, calculate the Reynolds Number.The density of Oil is 890 kg/m3 and the viscosity of the oil is 5.29 x 10-3 Pa-s.
Solution
The Reynolds number is a dimensionless quantity that is used to predict the onset of turbulence in fluid flow. It can be calculated using the formula:
Re = (Density * Velocity * Diameter) / Viscosity
Given the following values:
- Velocity (V) = 6 m/s
- Diameter (D) = 11 cm = 0.11 m (converted from cm to m)
- Density (ρ) = 890 kg/m^3
- Viscosity (μ) = 5.29 x 10^-3 Pa-s
We can substitute these values into the formula:
Re = (890 kg/m^3 * 6 m/s * 0.11 m) / 5.29 x 10^-3 Pa-s
Calculate the numerator first:
= 534.6 kg*m^2/s^2
Then divide this by the viscosity:
Re = 534.6 kg*m^2/s^2 / 5.29 x 10^-3 Pa-s
This gives a Reynolds number of approximately 101,052. This indicates that the flow is turbulent, as the Reynolds number is greater than 4000.
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