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The products of combustion from a burner are routed to an industrial application through a thin-walled metallic duct of diameter
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Fundamentals of Heat and Mass Transfer
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- 48. Water is flowing in a smooth pipe of diameter D. A section of this pipe hav- ing a length of L is heated. Water at the inlet to the heated section has a tempera- ture of Tŋ. Water temperature at the exit of the heated section is Tp. The heated section of the pipe wall is maintained at a constant heat flux so that a constant temperature difference of AT, = T, – T, exists between the wall and the bulk wa- ter temperature. Show that for turbulent flow in the pipe and a specified heated length and pipe diameter, water temperature at the exit of the heated section is given by: 402 0.6 Pr T52 =Tf +0.0876 L AT DO.8 0.2 marrow_forward1. A hollow tube is designed to be a heater with the ability to provide uniform surface heat flux of 2000 W/m2 to the water that flows in it. The water with a velocity of0.3 mis enters the tube at a temperature of 15 °C and leaves the tube at a temperature of 45 °C. The tube is 13 m long with a diameter of 5 mm. a. is the flow laminar or turbulent? b. Is the flow fully developed? Prove it with appropriate calculation. c. Calculate the heat transfer coefficient for water that flows inside the pipe. d. What is the temperature of the surface at the exit point of the tube?, e. Evaluate the heat transfer performance when the velocity of water increases to 3 m/s. Briefly discuss your answer. 2. The double pipe, parallel flow heat exchanger is to be used to cool oil using sea water. The oil enter the heat exchanger at 0.15 kg/s and at a temperature of 90 °C. Meanwhile, the sea water enters the heat exchanger at 0.3 kg/sand at a temperature of 10 °C. The area of the heat exchanger is 11. 5 m2…arrow_forwardWater at 27°C flows with a mean velocity of 1 m/s through a 1 km-long pipe of 0.25 m inside diameter. Answer the following: a. Is the flow hydrodynamically fully developed? Support your answer with calculations. b. Is the flow thermally fully developed? Support your answer with calculations. c. What is the pressure drop over the pipe length, if the pipe surface is smooth? (Ans: 0.289 Bar) d. What is the pump power requirement, if the pipe surface is smooth? (Ans: 1.42 kW)arrow_forward
- Hot oil is pumped through a heat exchanger (see figure below) at a flow rate of 0.5 L/s. An inlet manifold equally distributes the oil into 20 parallel, 5-mm-diameter copper tubes that are about 1 m in length. The oil cools down as it flows through the copper tubes. Oil then exits through an outlet manifold. The viscosity of the oil is 250 centipoise and its density is 950 kg/(m^3). Assuming uniform pressure in the manifolds and laminar flow through the tubes. calculate the total head loss (in meters) across those 20 copper tubes. COPPER TUBES MANIFOLDS Round your answer to 2 decimal places.arrow_forwardHot oil is pumped through a heat exchanger (see figure below) at a flow rate of 0.5 L/s. An inlet manifold equally distributes the oil into 20 parallel, 5-mm-diameter copper tubes that are about 1 m in length. The oil cools down as it flows through the copper tubes. Oil then exits through an outlet manifold. The viscosity of the oil is 250 centipoise and its density is 950 kg/(m^3). Assuming uniform pressure in the manifolds and laminar flow through the tubes, calculate the total head loss (in meters) across those 20 copper tubes.arrow_forward2- To solve these problems, refer to notes on Blackboard about convection inside pipes. Also, assume that the inside wall temperature of the cylinder is 100 °C Steam condensing circular tube of diameter D=50 mm and length L= 6 m maintains a uniform outer surface temperature of 100 °C Water flows through the tube at a rate m = 0.25 kg/s, and its inlet bulk temperature is To 15 °C. Determine: on the outer surface of a thin-walled a If the flow is laminar or turbulent b) The exit bulk temperature c) T (C) h (W/m2.K) d) Rate of heat transfer from steam to water e) A plot of T vs x, where x is the distance in axial direction along the pipe = 57 °C. Only State any assumptions made, and use L, guess one iteration is needed.arrow_forward
- (3) Oil being used as a coupling agent with a density of 892 kg/m³ is flowing through the piping arrangement shown in the figure below at a rate of 1.388 x 10-3 m³/s entering pipe 1. The flow divides equally in each of pipes 3. The steel pipes have the following internal diameters: Pipe 1 = 52.5 mm, Pipe 3 = 40.9 mm. Calculate the following using SI units. (a) The total mass flow rate m in pipe 1 and pipes 3. (b) The average velocity v in 1 and 3 (c) The flux G in pipe 1. 2 1/2-in. pipe 2-in. pipe 3-in. pipe 1/2 -in. pipe 3arrow_forwardFlow Characteristics( Entrance Effect) Why was there some disagrement between the actual Pitot tube velocity profile and the power law velocity profile?arrow_forwardSketch the shear stress and velocity distribution for laminar flow across a pipe section?arrow_forward
- Consider a pipe on a horizontal plane: based on Bernoulli's equation A. none of the above B. the inlet velocity will be less than the outlet velocity C. the inlet velocity will be greater than the outlet velocity D. the elevation of the inlet will be greater than that of the outletarrow_forwardA liquid while flowing through a thin-walled cylindrical copper pipe (D=10 cm, L=1 m) with a mass flow rate of 0.001 kg/s is heated from Ti= 33 °C to Te= 98 °C by supplying constant surface heat flux to the pipe surface (all the heat is transferred to the fluid). Considering fully developed laminar flow in the pipe, what is the surface temperature of the pipe at the exit in Celsius? (For the fluid use, Cp 1800 J/kg.K, k= 0.2 W/m.K) = constant 117111 q's m = 0.001 kg/s 111 L=1m D= 10 cmarrow_forwardHeavy machine tool lubricating oil (ref. Appendix C applied fluid mechanics) is pumped through six rectangular slots in a heat exchanger (oil flows in the white rectangles in section view a-a) as shown below. You may assume that the oil flows through the heat exchanger with a constant temperature of 40°C. If the flow rate from A to B is 3 cm³/sec determine the Reynolds number for the oil flow. Is the flow laminar or turbulent?arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning