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HW_1-Solutions

# HW_1-Solutions - C A s s h o w n i n t h e f i g u r e w a...

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C Asshowninthefigure,waterflowswithavelocityvatacieptliyinachannelof vertical shaft. Calculate the rise of water level tly just upstream of the sluice gate. 6) rectangular section which is closed by a sluice gate. The water flows smoothly down to a (a) By the energy equation. (b) By the momentum equation. _________ j4Z’4L Which one is the correct answer? Why? ( 3 -€ii a7 o +• .‘.. (1,) 13. C4. 2 ,1 vof - _q\$ - - - (Cecde’, 4r’ ,2a) Zi2.. OL4.74 ry,’— fr/f.24f+ ‘t) •2. - V4(€AZt-c /-‘/z 4: ;v 4 rA* Z t ( L 4)< 2.71. = (5)’ (z) - <-- Lw ans W t 6 (b) Lt i- u1rL 1 1I Ln 7 4 ’1 CroJ kLA A-ti - - 6II a) ‘-L6t4. Z I4€ ac,tJ -74/ \$_. £-4

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4. (a)Assuming that the ener loss can be neglected show that the pressure gradient in a (iA’) converging or diverging pipe can be found u: 3&PQ dD —‘ /‘ (b) If we assume that the Darcy.Welsbacb equation can be used for the head loss, how will the pressure gradient equation shown above be modified for laminar or turbulent flow in the converging or diverging pipe? JustLf’ your assumptions.
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HW_1-Solutions - C A s s h o w n i n t h e f i g u r e w a...

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