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(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m²/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)

(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m²/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m?/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)
Transcribed Image Text:(a) The gap between two horizontal plates is 5 mm. The gap is filled with oil of a relative density of 0.88 and a kinematic viscosity of 5 x 104 m?/s. What is the shear stress required to slide the upper plate at a speed of 2.5 m/s over the bottom plate? (b) Seawater of density 1025 kg/m³ and viscosity of 8.9 x 104 Pa-s is flowing through a pipe of 100 mm diameter at a rate of 3.6 litres/minute. Calculate the Reynolds number and state whether the flow is laminar or turbulent. (c) A jet of water with a diameter of 100 mm flows vertically until it meets a solid vane that deflected it at an angle of 180°. The initial velocity of the jet is 20 m/s. As a result of friction, the velocity of the jet leaving the vane is 15 m/s. Assuming the fluid is at atmospheric pressure throughout and neglecting the gravity effects, calculate the magnitude of the force exerted by the water on the vane. (water density 1000 kg/m³)
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