A spherical metal ball of radius r0 (r initial) is completely heated in a furnace to the temperature Ti and then it is then removed from the furnace and allowed to be cooled by convection and radiation in the environment at temperature Too.The emissivity of the outer surface of the sphere ɛ and the temperature of the surrounding surfaces are T.environment. Average heat The transfer coefficient is assumed to be h. Thermal

A spherical metal ball of radius r0 (r initial) is completely heated in a furnace to the temperature Ti and then it is then removed from the furnace and allowed to be cooled by convection and radiation in the environment at temperature Too.The emissivity of the outer surface of the sphere ɛ and the temperature of the surrounding surfaces are T.environment. Average heat The transfer coefficient is assumed to be h. Thermal

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.15P: 1.15 A thermocouple (0.8-mm-diameter wire) used to measure the temperature of the quiescent gas in a...

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Determine the power requirement of a soldering iron in which the tip is maintained at 400C. The tip is a cylinder 3 mm in diameter and 10 mm long. The surrounding air temperature is 20C, and the average convection heat transfer coefficient over the tip is 20W/m2K. The tip is highly polished initially, giving it a very low emittance.
1.76 Explain a fundamental characteristic that differentiates conduction from convection and radiation.
1.15 A thermocouple (0.8-mm-diameter wire) used to measure the temperature of the quiescent gas in a furnace gives a reading of . It is known, however, that the rate of radiant heat flow per meter length from the hotter furnace walls to the thermocouple wire is 1.1 W/m and the convection heat transfer coefficient between the wire and the gas is K. With this information, estimate the true gas temperature. State your assumptions and indicate the equations used.
1.47 A flat roof is modeled as a flat plate insulated on the bottom and placed in the sunlight. If the radiant heat that the roof receives from the sun is , the convection heat transfer coefficient between the roof and the air is 12 W/m2 K, and the air temperature is , determine the roof temperature for the following two cases: (a) Radiative heat loss to space is negligible, (b) The roof is black and radiates to space, which is assumed to be a black- body at 0 K.
A 0.6-cm diameter mild steel rod at 38C is suddenly immersed in a liquid at 93C with hc=110W/m2K. Determine the time required for the rod to warm to 88C.
8.15 A mercury bath at is to be heated by immersing cylindrical electric heating rods, each 20 cm tall and 2 cm in diameter. Calculate the maximum electric power rating of a typical rod if its maximum surface temperature is .
1.52 A flat roof of a house absorbs a solar radiation flux of . The backside of the roof is well insulated, while the outside loses heat by radiation and convection to ambient air at . If the emittance of the roof is 0.80 and the convection heat transfer coefficient between the roof and the air is K, calculate (a) the equilibrium surface temperature of the roof and (b) the ratio of convection to radiation heat loss. Can one or the other of these be neglected? Explain your answer.
1.51 The inner wall of a rocket motor combustion chamber receives by radiation from a gas at . The convection heat transfer coefficient between the gas and the wall is . If the inner wall of the combustion chamber is at Problem 1.51 a temperature of , determine (a) the total thermal resistance of a unit area of the wall in and (b) the heat flux. Also draw the thermal circuit.
2.43 A turbine blade 6.3 cm long, with cross-sectional area and perimeter , is made of stainless steel . The temperature of the root, , is . The blade is exposed to a hot gas at , and the heat transfer coefficient is K. Determine the temperature of the blade tip and the rate of heat flow at the root of the blade. Assume that the tip is insulated.
1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.
1) Draw the thermal resistance network representing heat transfer through the shell. 2) Determine the heat rate transfer under steady state conditions (W) 3) Determine the emissive power being emitted from the outside of the cylindrical tank (W). You can ignore emission from the top and bottom surfaces.
Consider a sphere and cylinder that have the same volume and radius made of copper. Both of them are initially at the same temperature and are exposed to convection in the same environment "same h", then Select one: A. The Sphere will cool faster. B. Both will cool at the same rate. C. No enough information to determine which one will cool faster D. The cylinder will cool faster.