HW Pressure Drop in a Pipe Water at 60°C is flowing by pump in a 0.0015-m-diameter 0.5-m-long pipe steadily at an average velocity of 0.5 m/s. Determine the pressure drop and the pumping power requirement to overcome this pressure drop.
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- 6.1 Determine the heat transfer coefficient at the stagnation point and the average value of the heat transfer coefficient for a single 5-cm-OD, 60-cm-long tube in cross-flow. The temperature of the tube surface is , the velocity of the fluid flowing perpendicular to the tube axis is 6 m/s, and the temperature of the fluid is . Consider the following fluids: (a) air, (b) hydrogen, and (c) water.Heated air at 1 atm and 35°C (ρ= 1.145 kg/m3 and μ= 1.895 X10-5 kg/m · s )is to be transported in a 200-m-long circular plastic duct at a rate of 0.4 m3/s Fig. 4. If the head loss in the pipe is not to exceed 26.67 m, determine the minimum diameter of the duct.Consider fully developed flow in a circular pipe with negligible entrance effects. If the length of the pipe is doubled, the head loss will (a) double, (b) more than double, (c) less than double, (d ) reduce by half, or (e) remain constant.
- Water at 15C (r = 999.1 kg/m3 and m = 1.138 * 1023 kg/m·s) is flowing steadily in a 30-m-long and 5-cm-diameter horizontal pipe made of stainless steel at a rate of 9 L/s. Determine (a) the pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure drop.Water at 10°C (ρ = 999.7 kg/m3 and μ = 1.307 × 10−3 kg/m·s) is flowing steadily in a 0.14 cm diameter, 15 m long pipe at an average velocity of 1.0 m/s. Determine the following: The pressure drop The head loss The pumping power requirement to overcome this pressure dropIn a laminar flow through a circular tube of radius of R, the velocity and temperature profiles at a cross section are given by u = u0 (1- r2/R2) and T(r) = A 1+Br2 - Cr4 where A, B and C are positive constants. Obtain a relation for the bulk fluid temperature at that cross section.
- Which has a greater minor loss coefficient during pipe flow: gradual expansion or gradual contraction? Why?Water at 10°C (ρ = 999.7 kg/m3 and μ = 1.307 × 10−3 kg/m·s) is flowing steadily in a 5 -cm- diameter, 20-m-long circular stainless steel pipe. Determine(a) for a pressure drop of 10 KPa, what would the volumetric flow rate be?Water at 10°C (? = 999.7 kg/m3 and ? = 1.307 × 10−3 kg/m·s) is flowing steadily in a 0.12-cm-diameter, 15-m-long pipe at an average velocity of 0.9 m/s. Determine (a) the pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure drop.
- Water at 60F (ρ = 62.36 lbm/ft3 and μ = 7.536 x10 -4 lbm/ft·s) is flowing steadily in a 6-in-diameter horizontal pipe made of stainless steel at a rate of 0.05 ft3/s. Determine the pressure drop, the head loss, and the required pumping power input for flow over a 200-ft-long section of the pipe.Glycerin at 40°C with ? = 1252 kg/m3 and ? = 0.27 kg/m·s is flowing through a 6-cm-diameter horizontal smooth pipe with an average velocity of 3.5 m/s. Determine the pressure drop per 10 m of the pipe.Glycerin at 40°C with ρ = 1252 kg/m3 and μ = 0.27 kg/m·s is flowing through a 3.5-cm-diameter horizontal smooth pipe with an average velocity of 3 m/s. Determine the following: The pressure drop per 10 m of the pipe The pumping power requirement