課程名稱︰流體力學 課程性質︰機械系大二必修 課程教師︰馬小康 開課學院：工學院 開課系所︰機械系 考試日期（年月日）︰105/5/13 考試時限（分鐘）：100 min 試題 : (15%) (1) Underground water is to be pumped by a 80% efficiency 5-kW submerged pump to a pool whose free surface is 30m above the underground water level. The diameter of the pipe is 7cm on the intake side and 5cm on the discharge side. Determine (a) the maximum flow rate of water and (b) the pressure difference across the pump. Assume the elevation difference between the pump inlet and ourlet and the effect of the kinetic energy correction factors to be negligible. The density of water is 1kg/L = 1000kg/m^3. http://i.imgur.com/WUZ4TGB.jpg (15%) (2) Please write (a) Bernoulli equation in the direction r normal to streamlines for steady, incompressible flow. Where r is the local radius of curvature, and r1 = λ- R and r2 = λ+ R. If velocity is V = C/r, please (b) find the constant C. http://i.imgur.com/fqBbxKL.jpg (15%) (3) A periodic Karman vortex street is formed when a uniform stream flows over a circular cylinder. Use the method of repeating variables to generate a dimensionless relationship for Karman vortex shedding frequency fk as a function of free stream speed V, fluid density, and cylinder diameter D. fk = f(V,ρ,μ,D) n=5, Please show all your work. (15%) (4) For the following flow system with 1.5-cm-diameter,the gage pressure at the inlet system is 200kPa during a shower and the toilet reservior is full, please determine (a) the total hL and (b) the minor losses coefficients KL between state 1 and 2 and between state 1 and 3. http://i.imgur.com/F3ERipC.jpg (20%) (5) Water accelerated by a nozzle to 35m/s strikes the vertical back surface of a cart moving horizontally at a constant velocity 10m/s in the flow direction. The mass flow rate of water through the stationary nozzle is 30kg/s. After the strike, the water stream splatters off in all directions in the plane of the back surface. (a) Determine the force that needs to be applied by the brakes of the cart to prevent it from accelerating. (b) If this force were used to generate power instead of wasting it on the brakes, determine the maximum amount of power that could ideally be generated. http://i.imgur.com/jb67dnd.jpg (20%) (6) Glycerin at 40℃ with density ρ=1252kg/m^3 and dynamic viscosity μ=0.27kg/ms is flowing through a 4-cm-diameter horizontal smooth pipe with an average velocity of 3.5m/s. Determine the pressure drop per 10m of the pipe and the required pumping power. http://i.imgur.com/S2IZgsv.jpg --

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