F.Sc ICS Notes: Physics XI: Chapter 6 Fluid Dynamics Numerical Problems 1st Year Physics Notes Online Taleem Ilm Hub
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Numerical Problem 6.1: Certain globular protein particle has a density of 1246 Kg/m(3) it falls through pure water (viscosity = 8 * 10(-4) Ns/m(2)) with a terminal speed of 3cm/h. Find the radius of the particle.
Numerical Problem 6.2: Water flows through a hose internal diameter is 1cm, at a speed of 1m/s what should be the diameter of the nozzle if the water is to emerge at 21 m/s.
Numerical Problem 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 15m 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 cm(2) how much water flows out in one second?
Numerical Problem 6.4: Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3m/s while at another point 3m higher, the speed is 4m/s. If the pressure is 80KPa at the lower point what is the pressure at the upper end?
Numerical Problem 6.5: An air plane wing is designed so that the sped of air across the top of the wing is 450m/s, the speed of air below the wing is 410m/s. What is the pressure difference between the top and bottom of the wing? (density of air = 1.29 Kg/m(3))
Numerical Problem 6.6: The radius of the aorta is about 1cm and the blood flowing through it has a speed of about 30cm/s. Calculate the average speed of the blood in the capillaries, using the fact that although each capillary has a diameter of about 8 * 10(-4) cm, there are literally millions of them so that the total cross section is about 2000 cm(2).
Numerical Problem 6.7: How large must a heating duct be if air moving 3m/s along it can replenish the air in a room of 3000 m(3) volumes every 15 min? Assume the air's density remains constant.
Numerical Problem 6.8: An airplane design calls for a lift due to the net force of the moving air on the wing of about 1000N/m(2) of wing area. Assume that air flows past the wing of an air craft with streamline flow. If the speed of flow past the lower wing surface is 160 m/s, what is the required speed over the upper surface to give a lift of 1000N/m(2)? The density of air is 1.29 Kg/m(3) and assume maximum thickness of wing to be one meter.
Numerical Problem 6.9: What gauge pressure is required in the city mains for a stream from a fire hose connected to the mains to reach a vertical height of 15m?
(a) With what speed does the water rush from the hole?
(b) If the hole has an area of 0.060 cm(2) how much water flows out in one second?
Numerical Problem 6.4: Water is flowing smoothly through a closed pipe system. At one point the speed of water is 3m/s while at another point 3m higher, the speed is 4m/s. If the pressure is 80KPa at the lower point what is the pressure at the upper end?
Numerical Problem 6.8: An airplane design calls for a lift due to the net force of the moving air on the wing of about 1000N/m(2) of wing area. Assume that air flows past the wing of an air craft with streamline flow. If the speed of flow past the lower wing surface is 160 m/s, what is the required speed over the upper surface to give a lift of 1000N/m(2)? The density of air is 1.29 Kg/m(3) and assume maximum thickness of wing to be one meter.
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