Question

a liquid with density of 59 lb / ft ^ 3 and viscosity of 7cp is transported at 105.4 gpm by a pump 70% efficiency of a # 1 tank operating at 15psig to another tank # 2 that operates at 55psig. The level of liquid in tank # 2 is 86 ft above the liquid level in tank # 1. Between both tanks there is 350 ft of linear tube with internal diameter of 2.25in and e / D of 0.006; the following obstructions: two (2) angle valve open, two (2) globe valve open, three (3) return bends and five (5) square 90 ° elbows. Calculate: (a) the power of the pump (horsepower). (b) the daily operating cost if the energy costs $ 0.31 kW / hr.

Answer 1

Volumetric flow rale a = 10s. 4 gpm 1 gallon = 0-13368 ft3 3 -14.08 ft_ = 0.2348 -t- Sec 15 psig-21 604bt. Tressure in tank ǐ Presu π e in Hank 2.SS PS,,ニ7,20 lbf- level difference z-86H P+ ft 350 ft length of tube 0.0833 ft 1 inch roughness, -ะ 0.001

k-> valus しリ k value fon two angle valve oPen ( value fon 2 globe wolue open i) k volue ton eun bunds K3- 15 K 1.3 -0.2348 Ao 027H Veloily γ= 8.55 ft Reynblds Number Re- dus Re- o.18チオ8.55x53 Re Re-200ヲ0.67 : (Cp) 0.0047

from thu Moodys frichon faahon chent itorm friction fachon alcatn trichion losses ώ Head loss due to fuchen toht pipe! tube) he fr = 17549.0 ft 12) Head loss due to tridien fo兀on le valve 느K, 2x32.2 forr tuse valve hya = 2x225ニケ441 ft (3) Hecd loss duu to fricHon fon 2 alebe valoe 2x322

4 Head loss olue to fricton for z nelunn bund 2 2X32.2 tS) Head loss loss due to friction fen S sjuane go* 2x32.2. hs = 7.37 ft ying Bean 2ο 8-SS 2x32.2 Sgx了2.2 Pump head hpニ25241もft = 5g X O . 2348 X 32·ZX 2524-6 P P- 122123.3 Ibft^ 6wez

P=4497 kW b) claily opezatin^ cost Cost: 031 kw hi f0H 46-9チKW cost per day kw 14.65 x 24 Cost= 349.4 kw- Asue