Oil with a density of 850 kg/m3 and kinematic viscosity of 0.00062 m2 /s is being discharged by a 5 mm diameter, 40 m long horizontal pipe from a storage tank open to the atmosphere. the height of the liquid level above the center of the pipe is 3 m. disregarding the minor losses, determine the flow rate of oil through the pipe. hint: assume laminar flow and check this assumption at the end.

Flow rate is

Explanation:

Given information

Density of oil,

kinematic viscosity,

Diameter of pipe, D= 5 mm= 0.005 m

Length of pipe, L=40 m

Height of liquid, h= 3 m

Volume flow rate for horizontal pipe will be given by

where is dynamic viscosity and is pressure drop

At the bottom of the tank, pressure is given by

Since at the top pressure is zero, therefore change in pressure a difference between the pressure at the bottom and the top. It implies that change in pressure is still

Dynamic viscosity,

Now the volume flow rate will be

Proof of flow being laminar

The velocity of flow is given by

Reynolds number,

Since the Reynolds number is less than 2300, the flow is laminar and the assumption is correct.

answer:

explanation:

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