Introduction to Heat Transfer
Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 4.12P

A two-dimensional object is subjected to isothermalconditions at its left and right surfaces, as shown in theschematic. Both diagonal surfaces are adiabatic and thedepth of the object is L = 100 mm .

Chapter 4, Problem 4.12P, A two-dimensional object is subjected to isothermalconditions at its left and right surfaces, as

  1. Determine the two-dimensional shape factor for theobject for a = 10 mm, b = 12 mm . Determine the two-dimensional shape factor for theobject for a = 10 mm, b = 15 mm . Use the alternative conduction analysis of Section3.2 to estimate the shape factor for parts (a) and(b). Compare the values of the approximate shapefactors of the alternative conduction analysis to thetwo-dimensional shape factors of parts (a) and (b).
  2. For T 1 = 100 ° C and T 2 = 60 ° C, determine the heattransfer rate per unit depth for k = 15 W/m K forparts (a) and (b).

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Chapter 4 Solutions

Introduction to Heat Transfer

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