Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN: 9781305387102
Author: Kreith, Frank; Manglik, Raj M.
Publisher: Cengage Learning
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Chapter 2, Problem 2.43P
A turbine blade 6.3 cm long, with cross-sectional area
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A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel
with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand
side to a molten metal tank with temperature To=2000 °C. The periphery of the prism
is cooled by a slow air stream at T=30°C with heat transfer coefficient
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A bare fuel rod has a diameter of 0.373 in and length of 12 ft. The volumetric heat generation rate for this rod is q′′′ = 10,000 kW/ft3. The heat produced by the rod is removed by water used as the coolant, at 2250 psia and 575 F. Find the heat transfer coefficient between the bare fuel rod and the coolant.The fuel rod surface temperature is 675 F
A steam is flowing through a 5.7 m long of steel tube that has inner and outer radii of r, = 0.015 and r, 0,024 m, and a thermal
conductivity of 0.14 W/m.K. The steam and the outer surface of the tube is maintained at constant temperature of 150 °C and the air
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NOTE: Enter your answer.
Answer
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Th
Steam
Steel Tr
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Chapter 2 Solutions
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Ch. 2 - A plane wall, 7.5 cm thick, generates heat...Ch. 2 -
2.2 A small dam, which is idealized by a large...Ch. 2 - 2.3 The shield of a nuclear reactor is idealized...Ch. 2 - A plane wall 15 cm thick has a thermal...Ch. 2 - 2.5 Derive an expression for the temperature...Ch. 2 - A plane wall of thickness 2L has internal heat...Ch. 2 - 2.7 A very thin silicon chip is bonded to a 6-mm...Ch. 2 - 2.9 In a large chemical factory, hot gases at 2273...Ch. 2 - 2.14 Calculate the rate of heat loss per foot and...Ch. 2 - 2.15 Suppose that a pipe carrying a hot fluid with...
Ch. 2 - Prob. 2.16PCh. 2 - Estimate the rate of heat loss per unit length...Ch. 2 - The rate of heat flow per unit length q/L through...Ch. 2 - A 2.5-cm-OD, 2-cm-ID copper pipe carries liquid...Ch. 2 - A cylindrical liquid oxygen (LOX) tank has a...Ch. 2 - Show that the rate of heat conduction per unit...Ch. 2 - Derive an expression for the temperature...Ch. 2 - Heat is generated uniformly in the fuel rod of a...Ch. 2 - 2.29 In a cylindrical fuel rod of a nuclear...Ch. 2 - 2.30 An electrical heater capable of generating...Ch. 2 - A hollow sphere with inner and outer radii of R1...Ch. 2 - 2.34 Show that the temperature distribution in a...Ch. 2 -
2.38 The addition of aluminum fins has been...Ch. 2 - The tip of a soldering iron consists of a 0.6-cm-...Ch. 2 - One end of a 0.3-m-long steel rod is connected to...Ch. 2 - Both ends of a 0.6-cm copper U-shaped rod are...Ch. 2 - 2.42 A circumferential fin of rectangular cross...Ch. 2 - 2.43 A turbine blade 6.3 cm long, with...Ch. 2 - 2.44 To determine the thermal conductivity of a...Ch. 2 - 2.45 Heat is transferred from water to air through...Ch. 2 - 2.46 The wall of a liquid-to-gas heat exchanger...Ch. 2 - Prob. 2.47PCh. 2 - The handle of a ladle used for pouring molten lead...Ch. 2 - 2.50 Compare the rate of heat flow from the bottom...Ch. 2 - 2.51 Determine by means of a flux plot the...Ch. 2 - Prob. 2.52PCh. 2 - Determine the rate of heat transfer per meter...Ch. 2 - Prob. 2.54PCh. 2 - 2.55 A long, 1-cm-diameter electric copper cable...Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58P
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- A single-cylinder air-cooled lawn mower engine operates under steady conditions. The cylinder temperature cannot exceed 300 ⁰C. To cool the engine, annular fins are placed around the cylinder. The fins are 0.3 cm thick and are 2 cm long from base to tip. The fins are made of cast iron (k = 52 W/mK). The outside diameter of the engine cylinder at the base of the fin is 0.3 m. Assume that the engine operates in 30 ⁰C air and that the heat transfer coefficient on the sides and tip of the fin is 12 Wm^-2K^-1. Determine the number of fins needed to cool a 3 kW engine to the given temperature if the engine has an efficiency of 30 % and 50 % of the total heat given off by the engine actually is dissipated through the fins ?arrow_forwardA 0.5-ampere current is flowing through a long electrically conducting cylindrical rod. The diameter of the rod is 6 mm, the electrical resistance of the rod is R = 2000 /m, and k =0.9 W/m K for the rod. The rod is encased in a 2-mm thick Pyrex tube and a 20°C liquid is flowing over the outer surface of the Pyrex tube. The convection heat transfer coefficient for the liquid h= 800 W/m2 . K. The interfacial conductance (contact resistance) at the interface between the rod and the Pyrex tube is h = 1200 W/m² - K. a) Compute the rate of heat generation in the rod and use it compute the volumetric rate of heat generation. b) Find the temperature drop across the interface between the outer surface of the rod and the inner surface of the Pyrex tube. c) Find the temperature at the center of the rod.arrow_forward40°C water with hwater = 800 W/m² K is flowing in a Pyrex tube. The inner and outer diameters of the tube are 25 mm and 35 mm. A thin metallic heater element bonded to the outer surface of the tube is being used to heat the water by transferring 600 W/m of thermal energy to the water flowing in the tube. The Pyrex tube and heater are covered with a 10-mm thick layer of foam insulation. The outer surface of the foam insulation is exposed to air at T = -5°C with hair = 12 W/m².K. The heater = air element must generate more than 600 W/m, because part of the heat being generated is lost to the air surrounding the foam insulation. Assume kp = 1.30 W/m K for Pyrex and k = 0.026 W/m K for the foam insulation. a) Find the temperature of the heater element needed to transfer 600 W/m of thermal energy to the water in the tube. b) Find the total rate at which the heater element must generate thermal energy. Water Pyrex tube, kp = 1.30 W/m.K = 40°C water hwater = 800 W/m².K Heater element Tair=…arrow_forward
- Steam in a heating system flows through tubes whose outer diameter is 5 cm and whose walls are maintained at a temperature of 180 C. Circular aluminum alloy 2024-T6 fins (k =186W/m °C) of outer diameter 6 cm and constant thickness 1 mm are attached to the tube. The space between the fins is 3 mm, and thus there are 250 fins per meter length of the tube. Heat is transferred to the surrounding air at T = 25°C, with a heat transfer coefficient of 40 W/m2 °C. %3D Determine the increase in heat transfer from the tube per meter of its length as a result of adding fins. 23em 3em T-25C 130°C 1 uanarrow_forwardSteam at 350 °C flows through the stainless steel pipe with k=26 W/m.°C. The inner and outer diameters of the stainless steel pipe are 6.0 cm and 7.0 cm, respectively. The pipe is insulated from the outside with a 4.0 cm thick glass wool (k= 0.038 W/m.°C) and then a 3.0 cm thick k=0.25 W/m.K material. The insulated pipe is in the environment at 20 °C. The heat loss from the pipe occurs only by [natural convection+radiation]. Film heat transfer coefficient including the effects of [natural convection+radiation] in the insulated pipe is 30 W/m². is C. Calculate the heat transferred per unit pipe length since the film heat transfer coefficient defined according to the inner area of the pipe is 110 W/m².°C.arrow_forwardExample: 0.5 kg of water per minute is heated from 20° to 40°C when passed through a tube of 2.5 cm diameter steel pipe. The pipe surface temperature is maintained at 110°C by condensing steam on its surface. Find out the length of the pipe required. The properties of water at mean temperature of 70°C are given below: p = 978 kg/m² k= 0.575 W/m. K Cp = 4200 J/kg. K v = 0.415 x 10-6 m²/secarrow_forward
- A circular tube (internal diameter=8 mm, length=20 m) subjected to a uniform heat flux of 30000 W/m2 on its surface. Water (ρ=1000 kg/m3, k=0.6 W/mK, ν=8x10-7 m2/s, cp=4.2 kJ/kg0C, Pr=6) enters the tube at 15 oC with a velocity of 1.1 m/s and leaves at 50 0C. Surface temperature of the tube at the inlet isarrow_forwardThere are 2 different types of fins: circular section and square section. Both fins are 30 cm length and they are made of copper with 380W/mK_conductivity. The circular section fin diameter is D = 3mm and the lateral width of the square section fin is W = 50 mm. The fin base temperature is -10°C. The fins are immersed in an oil bath at 50°C and perpendicular velocity to the axis of the fins. Obtain the maximum heat rate absorbed in each types of fin for an oil velocity of 60 m/s. Justify every calculation and assumption. Answer: 27.42W (circular section); 987.53W (square section parallel oriented); 1018.6W (square section oblique oriented)arrow_forwardQ9: A 2-kW resistance heater wire with thermal conductivity of k = 20 W/m - °C, a diameter of D = 5 mm, and a length of L = 0.7 m is used to boil water. If the outer surface temperature of the resistance wire is Ts = 110°C, determine the temperature at the center of the wire.arrow_forward
- In a thermal power plant, a horizontal copper pipe of "D" diameter, "L" length and thickness 1.7 cm enters into the boiler that has the thermal conductivity as 0.3 W/mK. The boiler is maintained at 107degreeC and temperature of the water that flows inside the pipe is at 31degreeC. If the energy transfer (Q) is 124925 kJ in 7 hours. Determine the Heat transfer rate, Surface area of the pipe and Diameter & Length of the pipe, if D = 0.012 L.Change in Temperature (in K) Heat Transfer Rate (in W) Surface Area of the Pipe (m2) Pipe Length (in m) Pipe Diameter (in mm)arrow_forwardQ10: In a nuclear reactor, 1-cm-diameter cylindrical uranium rods cooled by water from outside serve as the fuel. Heat is generated uniformly in the rods (k = 29.5 W/m - °C) at a rate of 7 x10' W/m?. If the outer surface temperature of rods is 175°C, determine the temperature at their center.arrow_forwardCopper pipe (k = 400 W/m.K) has an inner diameter of 25 cm and an outer diameter of 27 cm. Saturated steam flows through it at 110 °C. The piping is located in a space at 30 °C and the external convection heat transfer coefficient is estimated at 15 W/m2.K, while the internal convection heat transfer coefficient is 2500 W/m2.K. In order to reduce heat losses, it was decided to install thermal insulation. The available insulation has a thickness of 4.9 cm and a conductivity k = 0.027 W/m.K. Calculate the percentage increase in the "total" thermal resistance resulting from installing the insulation (between the uninsulated and the insulated case).arrow_forward
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