Final answer:
To calculate the pressure drop between pumping stations in the pipeline, use Bernoulli's equation and the given information about flow rate, density, and pipe diameter.
Step-by-step explanation:
To calculate the pressure drop between pumping stations in the pipeline, we can use the Bernoulli's equation, which states that the total pressure at any point in a fluid flow system is the sum of the dynamic pressure and the static pressure.
The dynamic pressure can be calculated using the equation:
P = 0.5 × ρ × v^2
Where P is the dynamic pressure, ρ is the density of the oil, and v is the velocity of the oil.
Since the flow rate and the diameter of the pipe are given, we can calculate the velocity using the equation:
v = Q / A
Where Q is the flow rate and A is the cross-sectional area of the pipe.
Once we have the velocity, we can use the Bernoulli's equation to calculate the pressure drop between pumping stations.