MEK307 FLUID MECHANICS 2011-2012 Fall Term HOMEWORK III ...

MEK307 FLUID MECHANICS2011-2012 Fall TermHOMEWORK IIIDue Date: 16.01.2012 (till 14:00)1. Streams of water from two tanks impinge upon each other as shown in the figure. Ifviscous effects are negligible and point A is a stagnation point, determine the height, h.h 1 =6m, h 2 =2.4m, P air =172375Pa.hAAirP airh 1h22. Two jets of liquid, one with specific gravity 1.0 and the other with specific gravity 1.3,collide and form one homogeneous jet as shown in the figure. Determine the speed, V,and the direction θ, of the combined jet. Gravity is negligible. (V 1 =2.4 m/s, V 2 =3.6 m/s,D 1 =D 2 = 6cm)SG=1.0V 1VD 230⁰D 1SG=1.3V 2

3. Seawater is circulating in the cooling system of a power plant. Water enters the system atpoint A and leaves at point B. A pump of 26kW power is placed at point P. If the totalhead loss is given as h l =10m, calculate :(Pump efficiency, η, is 0.9; pipe diameter, D, is 0.3m)a) the pump head, H p ,b) the exit velocity at point B andc) draw the energy and hydraulic grade lines on the figure.QPBA4. Flow occurs over a spillway as shown below. Determine the resultant force exerted on thespillway per meter of width by the flow. Assume ideal flow (Inviscid flow, no friction).waterh 1 =8mh 2 =1.5 mm