What is the length of tubing required to cool air from 80°C to 20°C via an isothermal tube maintained at 0°C? The tube diameter is 20 cm. Mean velocity of air is 4 m/s. Assume the flow to be fully-developed.
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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.6.3 Steam at 100 kPa and is flowing across a 5-cm- OD tube at a velocity of 6 m/s. Estimate the Nusselt number, the heat transfer coefficient, and the rate of heat transfer per meter length of pipe if the pipe is at .7.43 Liquid sodium is to be heated from 500 K to 600 K by passing it at a flow rate of 5.0 kg/s through a 5-cmID tube whose surface is maintained at 620 K. What length of tube is required?
- A steam reservoir is covered by a rectangular plate (its length is 1 m and width 2 m). The steam temperature is 95o C, and it is in contact with the plate. Over the outside surface of the plate, water is flowing at a speed of 3 m/sec at a temperature of 25o C. What is the mean Nusselt number over the plate? What is the mean heat transfer convective coefficient over the plate? What is the heat transfer rate to the water?Air is to be heated from 15 C to 270 C, as it flows through a tube 25mm diameter at average velocity 30 m/s. The tube surface is maintained at 280 C and the air is to be provided at rate 0.013 kg/s. Take the water properties k=0.0336 W/m.C, U = 25.9x 10-6 m2/s , Cp=1.014 kJ/kg.C, p = 0.8826 kg/ m3, Pr=0.689 Determine the following : 1- Heat transfer rate. 2- The necessary tube length. 3-Heat transfer coefficient?Air flow through an electrically heated 0.5 cm diameter tube, 0.5 m long, entering at 110 oC. The electric power dissipation is 350 W. Determine the outlet temperature of the air if the flow rate 7.5 kg/hr
- Water flows through a tube of 5mm inside diameter with a volumetric flow rate of 7.8 cm3/s. Wall temperature of the tube is kept constant at 80oC. In a fully developed velocity and temperature profile region of 5m length, calculate the bulk temperature of exiting water if its inlet temperature is 20oCEngine oil flows at a rate of 0.05 kg/s through a section of a 2.5 cm diameter tube. The oil enters the section at a temperature of 50 C. The tube wall is kept at 20 C, and it can be assumed that the flow through the section is fully developed. The section of the tube is 5 m long. (a) What is the exit temperature of the oil? (b) What is the heat transfer rate from the oil to the tube wall?You are designing a pin-style heatsink for forced cooling of an IC. A small fan blows RT air into the heatsink at about 2.3 ? ? . The aluminum pins are 2mm in diameter and have a constant surface temperature of 120°?. The heatsink is 100mm x 100mm and the pins have an inline arrangement with a transverse pitch of 4mm and a longitudinal pitch of 6mm. What is the total heat dissipation of this heatsink? The pins are 30mm high. Note RT=25 celsius
- Air at 20°C is hydrodynamically fully developed as it flows in a 1 cm I.D. pipe. The average velocity is 0.7 m/s. If it enters a section where the pipe wall is at 60°C, what is the temperature 0.25 m farther down stream?Hot combustion gases approximated as air at 1 atm and 350°C flow in a 16-cm-diameter steel pipe at a velocity of 3.5 m/s. The roughness of the pipe is 0.045 mm. The required power input to overcome the pressure drop for a pipe length of 60 m is (a) 0.55 W (b) 1.33 W (c) 2.85 W (d) 4.82 W (e) 6.35 WA gas is cooled by circulating it in a turbulent regime through the interior of a circular duct with an internal diameter D; = 0.025 mm, whose internal wall remains constant at To,i = 310 K. The average temperature of the gas is Tm = 350 K, its density Pm = 1.01 kg/m³ and its thermal conductivity Am = 0.0297 W/(m K). The Reynolds number is equal to Rep = 28717, the Prandtl number Pr = 0.718 and the pressure drop per unit length, AP/L = 300 Pa/m. 3. What is the value of the mass flux? G = kg/(m's) 4. What is the value of the convection coefficient if the duct is very long? (D/L → 0) h = W/(m² K)