Answered: A Newtonian fluid having a specific…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Transcribed Image Text:(a) A Newtonian fluid having a specific gravity of 0.95 and a kinematic viscosity of 4.2 x 10“m/s flows past a fixed surface as shown in Figure la. The “no-slip" condition suggests that the velocity of the fluid at the fixed surface is zero. The fluid velocity profile away from the fixed surface is given by the equation below: и Зу 1, U 28 2 where U is the constant maximum velocity and its value is 2 m/s. Given that the shear stress developed at the fixed surface is 0.12 N/m², determine the thickness of the fluid, d. Figure la: Fluid velocity profile (b) The clutch system shown in Figure 1b is used to transmit torque through a 3 mm thick clutch oil film with µ = 0.38 Ns/m² between two identical 25 cm diameter disks. When the driving shaft rotates at a speed of 100 rpm, the driven shaft is observed to be stationary. Assuming a linear velocity profile for the oil film, determine the transmitted torque and the power required. Driving shaft Driven shaft 25 cm 3 mm Clutch oil Figure 1b: Clutch system

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