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- Consider a flow with pressure and temperature of 1 atm and 288 K. A Pitot Tube is inserted into this flow and measures a pressure of 1.555 atm. What is the velocity of the flow?You are designing an IC heatsink which uses round pins in cross-flow. The heatsink must dissipate 3000W. The heatsink has 10 rows of 8 columns of round pins with a diameter of 1mm. The pins have longitudinal and transverse pitch of 6mm. The incoming air is at 25oC with a velocity of 3 m/s. Assume fluid properties are constant. If the pins are arranged in-line: a) Find the Reynold’s Number b) Find the Nusselt Number c) If the pins are 30mm tall, how hot must the pin surface be (average) to dissipate the proper amount of heat?1.A 0.5 m pipe is flowing with water at temperatures of 30 ^o C and 40 ^o C. Calculate the maximum velocity under conditions A.Laminar B.Turbulent
- water at 40°F flows at 1000 lb/hr through a sharp-edged 1/2 in diameter which is 10 inches long. if the tube wall temperature is 240°F, compute the exit temperature of the waterWater at a temperature of 35 °C is flowing steadily in a 2.5 mm diameter, 15-meter long tube at an average velocity of 0.60 m/sec. The cross-section is circular and the material is perfectly smooth. The flow can be considered fully developed. Find the pressure drop over the length of the tubing, Δ?Water at a temperature of 35 °C is flowing steadily in a 2.5 mm diameter, 15-meter long tube at an average velocity of 0.60 m/sec. The cross-section is circular and the material is perfectly smooth. The flow can be considered fully developed. Find the following quantities:a. The Reynolds number. State whether the flow is expected to be laminar or turbulent. (Check your math if you get a Reynolds number in the turbulent range.)b. The Darcy friction factor, ?.c. The pressure drop over the length of the tubing, Δ?, and the corresponding head loss, ℎ?.
- Problem 3: Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. Determine the following for the following wall surface condition i.e. the wall is smooth plastic; a) The Reynolds number. State whether a laminar or turbulent flow is expected.b) The Darcy friction factor, ?, and then find the pressure drop over the length of the pipe.c) Find the corresponding head loss, and calculate the pressure drop over the length of pipe if the velocity is halved, to 3.0 m/sec for the smooth wall case.Problem 3 (ii): Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. For the wall surface condition where the wall has become degraded due to pitting and deposits such that there is a surface roughness with a height of 0.3 millimeters, find the following:a) The Reynolds number. State whether laminar or turbulent flow is expected.b) The Darcy friction factor, ?.c) The pressure drop over the length of the pipe, and the corresponding head loss.The fluid flows at a speed of 0.4 m/s through a horizontally placed smooth pipe with a diameter of 20 mm and a length of 24 m and heats an environment at a temperature of 87 oC. Considering that the pipe surface temperature remains constant, inside the pipe; a) In case of water flow,b) In case of engine oil leakage Calculate the heat transfer coefficient and friction factor in the in-pipe flow and compare and interpret the results.
- Air at 20 °C and 2 atm absolute pressure enters a finned tube steam heater through a 50 mm diameter tube at a velocity of 15 m/s. It leaves the heater through a 65 mm tube at 90 °C and 1.6 atm abs. (a) what is the velocity at the outlet? (b) Calculate the Reynolds number for outlet flow and determine the flow type.Engine oil flows at a rate of 0.95 kg/s through a tube of 119 mm inside diameter and is heated from 293 to 327 K by condensing steam at 373 K. For the described case answer the following:i. Identify the type of flow and explain briefly about the flow with suitable assumptions & sketches.ii. Determine the inside heat transfer coefficient and rate of heat transfer per meter length of pipe for the identified flow pattern.Engine oil flows through a 25-mm-diameter tube at a rate of 0.5 kg/s. The oil enters the tube at a temperature of 25°C, while the tube surface temperature is maintained at 100°C. (a) Determine the oil outlet temperature for a 5-m and for a 100-m long tube. For each case, compare the log mean temperature difference to the arithmetic mean temperature difference.