Fundamentals of Heat and Mass Transfer – Problem 2.28
Uniform internal heat generation at q˙= 5 × 107 W/m3 is occurring in a cylindrical nuclear reactor fuel rod of 50-mm diameter, and under steady-state conditions the temperature distribution is of the form T(r)=a+br2, where T is in degrees Celsius and r is in meters, while a= 800 °C and b= -4.167 × 105 °C/m2. The fuel rod properties are k= 30 W/m·K, ρ= 1100 kg/m3, and cp= 800 J/kg·K.
(a) What is the rate of heat transfer per unit length of the rod at r = 0 (the centerline) and at r = 25 mm (the surface)?
(b) If the reactor power level is suddenly increased by q˙2 = 108 W/m3, what is the initial time rate of temperature change at r=0 and r=25mm?
All sample problems and notes are based on the following textbook: Fundamentals of Heat and Mass Transfer Seventh Edition
ISBN-13: 9780470501979
ISBN-10: 0470501979
Edition: 7
Author: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt
Publication date: 2011
Publisher: Wiley
Format: Hardcover 1072 pages
