Question

Question 4 25 pts Following parts are not related. (a) The triangular flume shown in the figure is used to carry water over a ravine. It is made of unfinished concrete with a Manning coefficient value of 0.014. It has a slope of 0.001. If the intended flow is to be 4 m3/s, determine the depth of flow. (10 points) 59 15 Fume (b) A cruise missile under test is moving horizontally at Ma =2 in the atmosphere at an elevation of 2000 m (Air temperature is 2 °C). Determine the half-angle "alpha" of the Mach cone. (5 points) (c) A Francis turbine is rotating at 75 rpm under a hydraulic head of 30 ft and develops 150 hp with a discharge of 0.1 m3/s. When the guide vanes remain in their fixed position and the hydraulic head is 15 ft, determine the rotation of this turbine and the corresponding power of the turbine. (10 points)

Answer 1

Ans-a-

Ans-b-

y Is y bh 2 sea =) y? (už y)2137(0.00)ZA bread as b=yty =zy Perimeter e) Zry Area (20) (0) manning coefficent 0.014 depth of flow пр-/з 4= Oooly 3.5417 = 2/3 1/2 хѕ ХА LA/ x(y2 21 1413 ty? 3.54172) y?y? 3.5117 y 8/3 Yz 1.6067/m

Ans-c-

Calculate half angle alpha of the Mach cone. sin a = 1 Ma -1 1 a = sin 1 Ma -1 = sin -30° 2)

75 rpm Given that N Hi = 30 ft H₂=15ft P = 150 hp 01 = 0.1 m/s Guide vanes nemains Constant formadas used Q Qui SH Pu Nu = N 1 Р 32 N N VH; Vite NA N, H₂ Hj 53 ppm 75 15 V 30 N₂ = 53 8pm Q2 Q VAI Q2 VH2 H2 V Hy = 0115 = 0.0704 mals 30 Q = 0-0107 m/s → PL P2 = P H₂ P = 34 HI 15 = 150 30 3/2 HY Р. H 3/2 P2 = 53 hp , 3/2 53 hp

Thank you.