Question

reveals a longitudinal section of a circular tube with a length of l = 300 m. Additionally, the absolute roughness of the boundary, the diameter of the circular tube, the continuous loss over the whole length and the kinematic viscosity of the real fluid are given. Longitudinal section of a steel tube Given l = 300 m k = 1 mm d = 1.00 m hLoss, continuous = 0.50 m ν = 1.3 * 10-6 m2 /s For a similar system the continuous loss coefficient λ was derived to λ = 0.02. i)

Prove, if this λ – value can be applied here to calculate the discharge in the circular tube by clearly showing your way (intermediate steps) of proof using the Moodydiagram.

ii) Calculate the discharge Q running through the circular pipe.

Answer 1

Solution) As ask in the question we have to verify the assumptions using the moodys diagram and also calculate the discharge through the pipe for which we can find the velocity from the darcy weisbach equation as we know the head loss we can easily calculate the velocity and after calculating the velocity we can easily calculate the discharge through the circular pipe as shown in the following solution -