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Propose a centrifugal pump (brand and model) to transport 10 L/s of a fluid with a density of 1500 kg/m3 from a tank located on the first floor to a reactor on the second floor of the plant (8 meters in height). The reactor's operating pressure is 30 psig; the fluid is at 20 °C, and its viscosity is 15 cp. The pipeline on the pump discharge is 30 meters long (considering accessories are included). Neglect pressure losses in the pump suction. Propose the pipe diameter, schedule 40, commercial steel. Make any necessary assumptions. Select a pump capable of delivering a maximum flow of 15 L/s (remember that normal operation will be at 10 L/s) and discuss the price paid for this condition. Provide a copy of the pump curve indicating the operating point. Also, calculate the power consumption of the pump.
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- 1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. Rarrow_forwardWater with a density of 1 g/cm³ flows through a horizontal pipe. The pipe cross-section tapers from 80 cm² to 40 cm² at a reducer. The static pressure before the reducer is 4 bar and the flow velocity is 4 m/s. The flow is incompressible and frictionless (inviscid). What static pressure is measured after the reducer?arrow_forwardSolve it fast,,, hand written solution please.arrow_forward
- Q1: A water tower is an elevated structure supporting a water tank constructed at a height sufficient to pressurize a distribution system for potable water. A completely filled and pressurized water tank was found with a small leakage (a hole 5cm in diameter) located on the sidewall of the tank, around 5 meters below the top of the tank. Please calculate the velocity of leakage water that discharges to the normal atmosphere. The dimension of the tank is 20-meter in height and 10-meter in diameter. The gauge pressure of the water tank top is 0.1M Pa. The Bernoulli equation is: P₁/pg + V₁²/2g +h₁ = P₂/pg + V₂²/2g +h₂ Gauge Pressure: 0.1 M Pa 5 meters Leakage velocity?arrow_forwardA pump has a displacement volume of 122 cm3. It delivers 0.0027 m3/s of oil at 1720 rpm and 85 bars. If the prime mover input torque is 175 N∙m What is the overall efficiency of the pump? What is the theoretical torque required to operate the pump?arrow_forwardHydrodynamics pumps 5. A centrifugal pump has r1 = 6 in., r2 = 12 in., b1 = 3 in., b2 = 2 in., β1 = 20°, β2 = 10° and rotates at 1200 rev/min. If the fluid is water at 60°F, estimate the theoretical (a) flow rate, in gpm; (b) the head in ft; and ( c) the water horsepower, HP. Assume near-radial entry flow. a. flow rate Answer : ____________________ gpmb. head Answer : ____________________ ftc. water horsepower Answer : ____________________ HParrow_forward
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