102年 - 102 國立嘉義大學_碩士班(乙組)招生考試試題_土木與水資源工程學系：流體力學#146385

(a) Continuity equation.

(b) Restoring couple.

(c) Moody chart.

(d) Energy head.

(e) Boundary layer thickness.

2.Determine the acceleration field for a three dimensional flow with velocitycomponents u =x , v = 6x2y2 , and w = x-y.(20%)

3.The 5.5-m-long gate is quarter circle and is hinged at H. Determine thehorizontal force, P, required to hold the gate in place. Neglect friction atthe hinge and the weight of the gate.(20%)

4.Water flows in a rectangular channel that is 5.0 m wide as shown inFigure. The upstream depth is 70 mm. the water surface rises 40 mm as itpasses over a portion where the channel bottom rises 10 mm. If viscouseffects are negligible, what is the flowrate?(20％) 5.A water flow situation is described by the velocity field equationm/swhere x, y, and z are in meters. Show that mass is conserved in thecontrol volume having corners at (x, y ,z)=(0,0,2), (5,0,2), (5,5,2), (0,5,2),(0,0,0), (5, 0,0), (5,5,0), and (0,5,0) as shown in Figure. (20%)