Question

Water (density 1000 kg/m3, viscosity- 1.15 x 10-3 N-sms transferred from the lower rescrvoir through a mortar ined steel circTable E5.5 Operation Characteristics of the Two Centrifugal Pumps at 960 rpm: Volume Flow Rate, Q, (m3/s00.00.02 0.0 0.04 0.0

Water (density 1000 kg/m3, viscosity- 1.15 x 10-3 N-sms transferred from the lower rescrvoir through a mortar ined steel circular pipe of 350 m long and 0.15 m diameter to the upper reservoir as shown in Figure E5.2 Two identical centrifugal pumps having opcration charactcristics as shown in the following Table ES.5 when it is running at 960 rpm. Difference between free water surfaces of the two reservoirs is 40 m. Friction factor of the pipe can be assumed to be constant at 0.02 Evaluate the overall operation characteristics curve of the two centrifugal pumps, and hence determine the volume flow rate through the pipe by considering only the major loss when thesc two pumps arc arranged to opcrate in: (i) Series (ii) Parallel Section "2": Lpper Free Surface Section "I": Lower Free Surface LU Upper Reservoir Pipe: 350 m x 0.15 nm Centrifugal Pump Lower Reservoir Figure E5.2 Pump and Pipe Flow Systems for Tutorial 5.2
Table E5.5 Operation Characteristics of the Two Centrifugal Pumps at 960 rpm: Volume Flow Rate, Q, (m3/s00.00.02 0.0 0.04 0.05 0.06 0.07 Head Gain, Ho, (m) 68 676664 6051380
0 0
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Answer #1


2. 2 cuig.e Total clochange will _2enam Jame dur)


 
Q HEAD GAIN(SERIES) Hp =40+7997.5Q^2
0 136 40
0.01 134 40.79975
0.02 132 43.199
0.03 128 47.19775
0.04 120 52.796
0.05 102 59.99375
0.06 76 68.791
0.07 0 79.18775

160 140 120 100 80 60 40 20 0.01 0.02 0.03 0.04 0.050.06 0.07 0.08 HEAD GAIN SERIESHp 40+7997.5Q 2

So Q=0.061m3/s will be obtained at total head of 69.78m.       ANS(i)

Total cli chaewill be Summed ub But head. gaim) Cat same had)


 
Q HEAD GAIN(PARALLEL) Hp =40+7997.5Q^2
0 68 40
0.02 67 43.199
0.04 66 52.796
0.06 64 68.791
0.08 60 91.184
0.1 51 119.975
0.12 38 155.164
0.14 0 196.751

250 200 150 100 50 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 HEAD GAIN(PARALLEL) Hp-40+7997.50°2

So Q=.058m3/s will be obtained for total head of 66.90m.   ANS(ii)

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