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. BergmanAdrienne S. LavineFrank P. IncroperaDavid P. DeWitt

Publication date: 2011

Publisher: Wiley

Format: Hardcover 1072 pages

9780470501979-0470501979-Fundamentals of Heat and Mass Transfer

How useful was this post?

Click on a star to rate it!

Average rating 0 / 5. Vote count: 0

No votes so far! Be the first to rate this post.

We are sorry that this post was not useful for you!

Let us improve this post!

Tell us how we can improve this post?

Similar Posts