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 2.40P
One end of a 0.3-m-long steel rod is connected to a wall at
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Oil whose temperature is 30°C is flowed through a pipe with a diameter of 50 cm. The pipe is in an environment where the temperature is 20°C. So that not a lot of heat comes out of the pipe, the pipe is wrapped with an insulating material (k = 0.007 W/mK) as thick as 5 cm. If the convection coefficient of the outer surface of the pipe is 12 W/m²K, calculate the heat flow from the pipe per meter of length.
(b)
A transistor with a height of 0.4 cm and a diameter of 0.6 cm is mounted on a circuit board
as shown in Figure 3. The transistor is cooled by air flowing over it with an average heat
transfer coefficient of 30 W/m².K. If the air temperature is 55°C and the transistor case
temperature is not to exceed 70°C, determine the amount of power this transistor can
dissipate safely. Disregard any heat transfer from the transistor base.
Air
55°C
Power
transistor 0.6 cm
T, ≤ 70°C
-0.4 c
0.4 cm-
Figure 3
A 5.1-m internal diameter spherical tank made of 1.6-cm-thick stainless steel (k = 15 w/m- c) is used to store iced water at 0 C. the wall of the room are also at 31 C. The convection heat transfer coefficient at the inner and the outer surface of the tank are 80 w/m - c, respectively. Determine (a) the rate of heat transfer of the iced water and (b) the amount of iced at 0 C that melts during a 24 h period. the heat of fusion of water at atmospheric pressure is 333.7 kj/kg.
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 pipe carrying steam of 5 cm inside diameter and 6.5 cm outside diameter is covered with a 2.75 cm of high temperature insulation(k = 0.1 W/m.K). The convection heat transfer coefficient for inside and outside surfaces are 4650 W/m2.K and 11.5 W/m2.K, respectively. The thermal conductivity of the pipe material is 45 W/m.K. If the flow fluid temperature is 200°C and ambient air temperature is 25°C, determine the Overall heat transfer coefficient * U إضافة ملفarrow_forwardThe inner and outer surfaces of a 0.3 cm thick 1.8 m x 2.5 m window glass in winter are 20°C and 1°C, respectively. If the thermal conductivity of the glass is 0.8 W/m-K, determine the amount of heat loss through the glass over a period of 4 h. What would your answer be if the glass were 0.6 cm thick?arrow_forwardRadioactive material is stored in a spherical vessel with a diameter of 3.7 m, and the center of the vessel is 11 m below the ground. The vessel is surrounded by a 10.2 cm thick layer of rigid foam insulation (k = 0.026 W/m-K). The radioactive material releases heat at a rate of 1000 W/m³. The surface of the soil it's buried in (k = 2 W/m- K) is exposed to wind with a temperature of 20°C and a convection coefficient of 17 W/m²-K. What is the temperature of the surface of the tank?arrow_forward
- You are trying to assess the performance of a heat sink with fins. It has straight rectangular profile fins. The fin length is 20 cm. The fins have a thermal conductivity of 280 W/m-K. The average coefficient of the air around the fins is 80 W/m²-K. The thickness of the fins is 1 cm and the width is 2 cm. The temperature of the air is 20°C. The temperature at the base of the fin is 70°C. Find the efficiency and effectiveness of a single fin. 0.51 and 30.9arrow_forwardA spherical tank with internal diameter of 2 m made of 2.0-cm-thick stainless steel (k=15 W/m.K) is used for storing a fluid at a temperature of 1 °C. The tank is covered with a 4-cm-thick layer of an insulation (k=0.25 W/m.K). The surrounding air is at 15 °C. The inside and outside heat transfer coefficients are 35 and 10 W/m2.K, respectively. Required: Draw the thermal resistance network (thermal circuit) and label the associated resistance and determine the following: The individual thermal resistance associated with the thermal circuit. a) b) c) d) The total thermal resistance value The rate of heat transfer The temperature difference across the tank shell and the insulation layer.arrow_forwardA spherical container is made of plastic (k=2 W/mK, ρ=5000 kg/m) and has inner and outer radii of 10 cm and 11 cm, respectively. Hot oil (c=3000 J/kgK, ρ=800 kg/m3) at 80 0C is stored within the container and the heat transfer coefficient between the oil and the inner surface of the container h=5 W/m2K. The outer surface of the container is perfectly insulated. Solve the differential equation under the boundary conditions for steady one dimensional heat conduction through the plastic material. h (W/m2K)=? a) Obtain an equation for the variation of temperature within the plastic material b) Calculate the temperature of the plastic material at the inner surface c) Calculate the temperature of the plastic material at the inner surfacearrow_forward
- Consider a steam pipe of length 15 ft, inner radius 2 in., outer radius 2.4 in., and thermal conductivity 7.2 Btu/hr-ft-°F. Steam is flowing through the pipe at an average temperature of 250°F, and the average convection heat transfer coefficient on the inner surface is given to be 1.25 Btu/hr-ft2-"F. If the average temperature on the outer surfaces of the pipe is 160*F, determine the rate of heat loss from the steam through the pipe. ANSWER: Btu/hrarrow_forwardA furnace wall is made of 20 cm of magnesite brick and 20 cm of common brick. The magnesite brick is exposed to hot gases at 1200°C and common brick outer surface is exposed to 35°C room air. The surface heat transfer coefficient of the inside wall is 40 W/m²K and that of the outer wall is 20 W/m²K respectively. Thermal conductivities of magnesite and common brick are 4 and 0.5 W/mK respectively. Determine: i. Heat loss per m² of area of the furnace wall and ii. Maximum temperature to which common brick is subjectedarrow_forwardThere are 3 people in a hemispherical house with an inner radius of 1.8 m, designed for short-term shelter. The walls of the house are made of 50 cm thick material with a heat transfer coefficient of 0.15 W / mK. The heat transfer coefficient of this house is 6 W / m2K on the inner surface and 15 W / m2K on the outer surface. The temperature of the floor where the house is located is considered to be constant at -5 ° C. Each person in the house generates 105 W of body heat. When the indoor air temperature of the house is measured as -3 ° C, calculate the outside temperature.arrow_forward
- A solid plate, with a thickness of 15 cm and a thermal conductivity of 80 W/m-K, is being cooled at the upper surface by air. The air temperature is 10°C, while the temperatures at the upper and lower surfaces of the plate are 50 and 60°C, respectively. Determine the convection heat transfer coefficient of air at the upper surface and discuss whether the value is reasonable or not for force convection of air. Air, T. = 10°C T1 = 50°C T2 = 60°C L = 15 cmarrow_forwardA 6 cm diameter sphere is initially at a temperature of 100C. Later, this sphere was thrown into water at 800C. Calculate how long it will take for the center temperature of the sphere to reach 500C by taking the convection heat transfer coefficient as 80W / m2K. Thermal properties of sphere material: k=0,627 W/moC a=0,151x10-6 m2/sarrow_forwardWhat is the heat power lost from the cup to the air due to convection? Take the external surface of a cup (with lid) to be at a temperature of 55.0oC and take the ambient air temperature to be 20.0oC. Take the heat convection coefficient to be 7.10 W/m2K for air. The area of the cup from which heat is transferred to air consists of the lid and the sides of the cup only, where the cup radius is 4.00 cm and its height is 9.20 cm. Give your answer in units of W, accurate to 1 decimal place.arrow_forward
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