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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Two long cylinders 8.0 and 3.0 em in diameter are completely surrounded by a medium with & = 1.4 W/m -°C. The distance between centers is 10 cm, and the cylinders are maintained at 200 and 35°C. Calculate the heat-transfer rate per unit length.
Derive a 2 dimensional transient heat conduction equation for a hot coffee in a mug. Assume that the coffee has a uniform temperature of 56 degree Celsius. Sketch the schematic diagram and propose your assumption for the derivation of the heat transfer equation.
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- 2.3 The shield of a nuclear reactor is idealized by a large 25-cm-thick flat plate having a thermal conductivity of . Radiation from the interior of the reactor penetrates the shield and there produces heat generation that decreases exponentially from a value of at the inner surface to a value of at a distance of 12.5 cm from the interior surface. If the exterior surface is kept at 38°C by forced convection, determine the temperature at the inner surface of the field. Hint: First set up the differential equation for a system in which the heat generation rate varies according to .arrow_forward1.76 Explain a fundamental characteristic that differentiates conduction from convection and radiation.arrow_forward2.29 In a cylindrical fuel rod of a nuclear reactor, heat is generated internally according to the equation where = local rate of heat generation per unit volume at r = outside radius = rate of heat generation per unit volume at the centerline Calculate the temperature drop from the centerline to the surface for a 2.5-cm-diameter rod having a thermal conductivity of if the rate of heat removal from its surface is 1.6 .arrow_forward
- 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.4arrow_forwardDerive the combined one-dimensional heat conduction equation.arrow_forwardUsing the general conduction equation for a Cartesian system, derive the expressions for the position and value of maximum temperature for plane wall with internal heat generation having, a. different surface temperature, b. same surface temperature, c. One surface insulated.arrow_forward
- A small sphere (emissivity = 0.745, radius = r1) is located at the center of a spherical asbestos shell (thickness = 1.72 cm, outer radius = r2; thermal conductivity of asbestos is 0.090 J/(s m Co)). The thickness of the shell is small compared to the inner and outer radii of the shell. The temperature of the small sphere is 727 °C, while the temperature of the inner surface of the shell is 406 °C, both temperatures remaining constant. Assuming that r2/r1 = 6.54 and ignoring any air inside the shell, find the temperature in degrees Celsius of the outer surface of the shell.arrow_forwardIn the given figure, the two-dimensional steady state heat conduction has a square network structure with dimensions 0≤x≤L and 0≤y≤L. Find the temperature values at m=1,2,3 and 4 nodes by subtracting the finite difference heat conduction equations for the given network structure with dimensions ∆x=∆y=L/3.arrow_forwardExplain how Fourier’s law of conduction (in one-dimensional cartesian system) can be applied to experimentally measure the thermal conductivity of solid materials. What are the necessary conditions and assumptions?arrow_forward
- .... Derive the general 3D heat conduction equation for a spherical coordinate. Show step-by-step solution and schematic diagram.arrow_forwardThe wall of an industrial furnace, a 0.15 m thick chamotte with a heat conduction coefficient of 1.7 M / m.K It is made of bricks. Measurements made during continuous operation, internal and external surface temperatures showed that it was 1400 and 1150 K respectively. With side lengths of 0.5 m and 3 m calculate the heat passing through the wall per unit timearrow_forwardExample 3: The thermal contact conductance hc at the interface is 11,000 W/m2·°C. Determine the thickness of the aluminum plate whose thermal resistance is equal to the thermal resistance of the interface between the plates. (kaluminum=237 W/m.Karrow_forward
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Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
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