a) When oil (p=850 kg/m³) flows through a 5 cm diameter horizontal pipe of 12 m length at a velocity of 1.2 m/s a pressure difference of 5000 N/m² is recorded. i) Assuming laminar flow calculate the viscosity of the liquid. ii) Check that the assumption of laminar flow is valid

Structural Analysis
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Chapter2: Loads On Structures
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a) When oil (p=850 kg/m³) flows through a 5 cm diameter horizontal pipe of 12 m
length at a velocity of 1.2 m/s a pressure difference of 5000 N/m² is recorded.
i) Assuming laminar flow calculate the viscosity of the liquid.
ii) Check that the assumption of laminar flow is valid
b) Air (p=1.287 kg/m³) flows into a jet engine of diameter 1.2 m as shown in Figure
Q4b at a velocity of 90 m/s. Upon landing, the engine exhaust exits through the
reverse thrust mechanism with a speed of 275 m/s symmetrically in the directions
indicated. Assume that the inlet and outlet pressures are atmospheric and that the
mass flow rate of fuel is negligible compared to the air flow rate through the engine.
i) Determine the x and y velocity components of the exhaust leaving the engine
ii) Evaluate the horizontal and vertical forces experienced by the engine
C3=275 m/s
(3)
C1=90 m/s
1.2 m diameter
(1) 30 degree
(2)
C2=275 m/s
Figure Q4b
Transcribed Image Text:a) When oil (p=850 kg/m³) flows through a 5 cm diameter horizontal pipe of 12 m length at a velocity of 1.2 m/s a pressure difference of 5000 N/m² is recorded. i) Assuming laminar flow calculate the viscosity of the liquid. ii) Check that the assumption of laminar flow is valid b) Air (p=1.287 kg/m³) flows into a jet engine of diameter 1.2 m as shown in Figure Q4b at a velocity of 90 m/s. Upon landing, the engine exhaust exits through the reverse thrust mechanism with a speed of 275 m/s symmetrically in the directions indicated. Assume that the inlet and outlet pressures are atmospheric and that the mass flow rate of fuel is negligible compared to the air flow rate through the engine. i) Determine the x and y velocity components of the exhaust leaving the engine ii) Evaluate the horizontal and vertical forces experienced by the engine C3=275 m/s (3) C1=90 m/s 1.2 m diameter (1) 30 degree (2) C2=275 m/s Figure Q4b
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