## F.Sc ICS Notes: Physics XI: Chapter 6 Fluid Dynamics Numerical Problems

__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 6.1:**__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 6.2:**__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.__

**Numerical Problem 6.3:**(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?

__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 6.4:**__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 6.5:**__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 6.6:**__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 6.7:**__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 6.8:**__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?__

**Numerical Problem 6.9:**
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