Fundamentals of Heat and Mass Transfer
Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
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Chapter 7, Problem 7.57P

In a manufacturing process, long aluminum rods of square cross section with d = 25 mm are cooled from an initial temperature of T i = 400 ° C . Which configuration in the sketch should be used to minimize the time needed for the rods to reach a safe-to-handle temperature of 60 ° C when exposed to air in cross flow at V = 8 m/s, T = 30 ° C? What is the required cooling time for the preferred configuration? The emissivity of the rods is ε = 0.10 and the surroundings temperature is T sur = 20 ° C .
Chapter 7, Problem 7.57P, In a manufacturing process, long aluminum rods of square cross section with d=25mm are cooled from

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Chips of width L _ 15 mm on a side are mounted to a substrate that is installed in an enclosure whose walls and air are maintained at a temperature of Tsur=T∞=25oC. The chips have an emissivity of ε=0.60 and a maximum allowable temperature of Ts=85oC. (a) If heat is rejected from the chips by radiation and natural convection, what is the maximum operating power of each chip? The convection coefficient may be approximated as h=11.7 W/m2K. (b) If a fan is used to maintain airflow through the enclosure and heat transfer is by only forced convection, with h=250 W/m2K, what is the maximum operating power?
Chips of width L _ 15 mm on a side are mounted to a substrate that is installed in an enclosurewhose walls and air are maintained at a temperature of Tsur=T∞=25oC. The chips have an emissivity ofε=0.60 and a maximum allowable temperature of Ts=85oC.(a) If heat is rejected from the chips by radiation and natural convection, what is the maximum operatingpower of each chip? The convection coefficient may be approximated as h=11.7 W/m2K.(b) If a fan is used to maintain airflow through the enclosure and heat transfer is by only forcedconvection, with h=250 W/m2K, what is the maximum operating power?
3. An electric immersion heater, 10 mm in diameter and 300 mm long, is rated at 550 W. The emissivity of the heater is ε = 0.85. a) If the heater is horizontally positioned in a large tank of water at 20°C, estimate its surface temperature. b) If the heater is accidentally operated in air at 20°C, estimate the surface temperature. Hint: Radiation heat transfer can be neglected in liquids, but not in gases like air.

Chapter 7 Solutions

Fundamentals of Heat and Mass Transfer

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