Oil of sp. Gr 0.8 flows through a pipe of diameter 350mm at a velocity of0.20m/s and the dynamic viscosity is 0.04 Ns /m2 determine whether the flowis laminar or turbulent
Question
Oil of sp. Gr 0.8 flows through a pipe of diameter 350mm at a velocity of0.20m/s and the dynamic viscosity is 0.04 Ns /m2 determine whether the flowis laminar or turbulent
Solution
To determine whether the flow is laminar or turbulent, we need to calculate the Reynolds number (Re). The Reynolds number is a dimensionless quantity that is used to predict the onset of turbulence in fluid flow.
The formula for the Reynolds number is:
Re = (Density * Velocity * Diameter) / Viscosity
Given:
- Specific Gravity (Sp.Gr) = 0.8 (This is the ratio of the density of the oil to the density of water at 4 degrees Celsius, where the density of water is 1000 kg/m^3. So, the density of the oil is Sp.Gr * Density of water = 0.8 * 1000 = 800 kg/m^3)
- Velocity (V) = 0.20 m/s
- Diameter (D) = 350 mm = 0.35 m (converted from mm to m)
- Dynamic Viscosity (μ) = 0.04 Ns/m^2
Substituting these values into the Reynolds number formula:
Re = (800 kg/m^3 * 0.20 m/s * 0.35 m) / 0.04 Ns/m^2 Re = 1400
The flow is considered to be laminar if the Reynolds number is less than 2000, and turbulent if it is greater than 4000. If the Reynolds number is between 2000 and 4000, the flow is in a transition state.
Since the calculated Reynolds number is 1400, which is less than 2000, the flow is considered to be laminar.
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