Fluid Mechanics
Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.12CP

A solid aluminum disk (SG = 2.7) is 2 in in diameter and 3/1 ft in thick. It slides steadily down a 14° incline that is coated with a castor oil (SG = 0.96) film one hundredth of an inch thick. The steady slide velocity is 2 cm/s. Using Figure A.1 and a linear oil velocity profile assumption, estimate the temperature of the castor oil.

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Figure 1 shows a layer of oil(8.95 kN/m^3), the thickness of 0,3mm, between two parallel plates, the upper plate is pulled across the bottom plate with a cable connected to winch. The upper plate moves with a velocity 0.05m/s.  The area contact between the upper plate and the oil is 1.5m^2. Determine the kinematic viscosity of the oil if the torque acting winch drum should not exceed 24.5 ×10^-3 Nm. Take the drum diameter as 50mm.
q1(c) A 20 × 20 cm cubical block slides on an oil surface over the inclined plane at 20° horizontal. Steady state velocity is 0.4 m/s. The thickness of the oil film between the block and the surface is 0.4 mm, and the mass of the block is 6.52 kg. (i) Illustrate the free body diagram for the above condition. (ii) Calculate the kinematic viscosity of the oil if the specific gravity of the oil that you choose must be in the range between 0.78 to 0.86.

Chapter 1 Solutions

Fluid Mechanics

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