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10. Mechanical Properties of Fluids
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Q26 of 41 Page 268

What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10–3 Pa s).

Flow rate, Q = Av


Where,


A = Area of the duct


v = velocity of the fluid


Thus, flow rate Q = πr2v


= π × (2 × 10-3)2 m2 × 0.982 m/s


= 1.235 × 10-5 m3/s


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25

In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery of diameter 2 × 10–3 m if the flow must remain laminar? (b) Do the dissipative forces become more important as the fluid velocity increases? Discuss qualitatively.

26

What is the largest average velocity of blood flow in an artery of radius 2 × 10–3m if the flow must remain lanimar?

27

A plane is in level flight at constant speed and each of its two wings has an area of 25 m2. If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane’s mass. (Take air density to be 1 kg m–3).

28

In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of radius 2.0 × 10–5 m and density 1.2 × 103 kg m–3. Take the viscosity of air at the temperature of the experiment to be 1.8 × 10–5 Pa s. How much is the viscous force on the drop at that speed? Neglect buoyancy of the drop due to air.

Questions · 41
10. Mechanical Properties of Fluids
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