Question

QUESTION3 

The Figure below (Figure 3) shows a pipe system with a valve and two reservoirs. A pump transports a constant flow rate of Q = 0.1 m³/s of water from reservoir A to reservoir B. At four sections the pipe has bends and the roughness of the pipe is k_s = 1.5 mm. The pipe has a diameter D = 34 cm and a total length L = 500 m. The water level in reservoir B is Δh=4.67 m above the water level in reservoir A (Figure 3, Top). 

Complete the following: 

a) In your exam booklet (with the white pages), sketch the pipeline system and draw in the total head line and the hydraulic grade line. Highlight the sections with local losses. 

b) Using the provided diagram with loss coefficients for the valve (Figure 3, Bottom), calculate the required head of the pump in the pipeline system if the valve is fully open. You can assume local loss coefficients of the bends and at the inlet to be Ktend = 0.5 and Kinlet = 0.5 respectively. 

c) Assuming that the flow in the pipe system is fully developed, sketch the velocity profile of a pipe cross-section in your exam booklet (with the white pages) including the maximum and mean flow velocities. No calculations are required. 

d) Assuming that the flow in the pipe system is fully developed, calculate the viscous sublayer thickness δ1. Use the pipe and discharge parameters provided above. 

Answer 1

(Hi) frction head Loss) 5 velocity su ттрґ TTX 0.34 kinematic viscosity C ง)- ,0-6 ทั้ Reynold's No.- D 1.1 X 0.34 Rel ative Roughreer height Ks 0. 0295 2x 9.8 x 0.3y 2. 6a5

28 Kexit - 1.0 2x9.8 3.62 x(1-1.. = 0.223 m 0 2X9.dl

0.06 ΔΗ 0.03m v 006 0.o3m TEL HGL LerH» enon BRTdA exit Pump Valve 2

2. Vav Re yooo 8. = 11.gx ' O- O.OC 68 0113 nm

Answer 2