EXAMPLES
Exercise 1
A glycerin at 25 of viscosity, flows through a 150mm diameter pipe with the viscosity. Is the flow laminar or turbulent? Given that the density of glycerin is 1258kg/m3
Exercise 2
Water at 15℃ with density, ρ=999kg/m^3 and the viscosity, μ =1.138 ×10^-3 kg/ms is flowing steadily in a 5cm diameter horizontal pipe made of stainless steel at a rate of 6 L/s. Determine the Reynolds number of the water.
Example 3
Water at 15℃ flow through a 200m long galvanized steel pipe of diameter 250 mm and at 0.225 m3/s. Note that kinematic viscosity of water at 15℃=1.14×10-5 m2/s and average surface roughness for galvanized steel=0.15 mm.Determine the loss of head due to friction.
Example 4
Oil flows through a cast iron pipe of 250 mm diameter such that the loss of head over a pipe length of 100 m is 4 m of the oil. Determine the flow rate of oil through the pipe.
Given:
Kinematic viscosity of the oil = 10^-5 m2/s
Average surface roughness of iron = 0.25 mm
Example 5
Example 6
A 6 cm diameter pipe has a discharge of 450L/min. At a section the pipe has a sudden expansion to a size of 9 cm diameter. If the pressure just upstream of the expansion is 20kN/m2. Calculate the pressure just after the expansion. Assume the pipe to be horizontal at the expansion region.
Example 1
A glycerin at 25 of viscosity, flows through a 150mm diameter pipe with the viscosity, . Is the flow laminar or turbulent? Given that the density of glycerin.
Example 2
Water at 15 with density, and the viscosity, is flowing steadily in a 5cm diameter horizontal pipe made of stainless steel at a rate of 6 L/s. Determine the Reynolds number of the water.
Example 3
Water at 15'C flow through a 200m long galvanized steel pipe of diameter 250 mm and at 0.225 m3/s. Note that kinematic viscosity of water at 15'C=1.14×10-5 m2/s and average surface roughness for galvanized steel=0.15 mm.Determine
(a) Loss of head due to friction
(b) Pumping power required to maintain the above flow.
Example 4
Oil flows through a cast iron pipe of 250 mm diameter such that the loss of head over a pipe length of 100 m is 4 m of the oil. Determine the flow rate of oil through the pipe.
Given: Kinematic viscosity of the oil = 10-5 m2/s
Average surface roughness of iron = 0.25 mm
Example 7
Water flows through a water treatment plant. Find the head loss due to friction using the given information.
