Numerical Problems 6.1: Certain globular protein particle has a density of 1246 Kg m⁻³ it falls through pure water (η = 8 ｘ 10⁻⁴ N m⁻² s) with a terminal speed of 3 cm h⁻¹. Find the radius of the particle. (Ans: 1.6 ï½˜ 10⁻⁶ m )

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Numerical Problems 6.2: Water flows through a hose, whose internal diameter is 1 cm at a speed of 1 m s⁻¹. What should be the diameter of the nozzle if the water is to emerge at 21 m s⁻¹. (Ans: 0.2 cm)

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Numerical Problems 6.3: The pipe near the lower end of a large storage tank develops a small leak and a stream of water shoots from it. The top of water tank is 15 m above the point of leak.

(a) With what speed does the water rush from the hole?
(b) If the hole has an area of 0.060 cm² how much water flows out in one second?
(Ans: (a) 17 m s⁻¹, (b) 102 cm³)

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Numerical Problems 6.4: Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3m s⁻¹ while at another point 3 m higher, the speed is 4 m s⁻¹. If the pressure is 80 kPa at the lower point what is the pressure at the upper end? (Ans: 47 kPa)

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Numerical Problems 6.5: An air plane wing is designed so that the sped of air across the top of the wing is 450 m s⁻¹, the speed of air below the wing is 410 m s⁻¹. What is the pressure difference between the top and bottom of the wing? (density of air = 1.29 Kg m³) (Ans: 22 kPa)

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Numerical Problems 6.6: The radius of the aorta is about 1 cm and the blood flowing through it has a speed of about 30 cm s⁻¹. Calculate the average speed of the blood in the capillaries, using the fact that although each capillary has a diameter of about 8 ｘ10⁻⁴ cm, there are literally millions of them so that the total cross section is about 2000 cm². (Ans: 5 ｘ10⁻⁴ m s⁻¹)

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Numerical Problems 6.7: How large must a heating duct be if air moving 3 m s⁻¹ along it can replenish the air in a room of 300 m³ volumes every 15 min? Assume the air's density remains constant. (Ans: 19 cm)

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