Fundamentals of Heat and Mass Transfer – Problem 2.28

ByEngineeringCheatSheet.com

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

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

Battery Thermal Management 101
|

Battery Thermal Management 101

ByEngineeringCheatSheet.com

Why are battery thermal management systems important? In the electrifying world of modern technology, where portable gadgets have become an integral part of our daily lives, the role of lithium-ion batteries cannot be overstated. These compact powerhouses efficiently store and release energy, but hidden within their sleek exteriors is a complex interplay of heat and…

Design of a Power Plant Cooling System
| | |

Design of a Power Plant Cooling System

ByEngineeringCheatSheet.com

Background The purpose of this design project is to design a cooling system for a power plant, which includes designing a heat exchanger and a piping system from the river to the condenser to cool the superheated steam from the Rankine cycle. The Rankine cycle produces 1.4MW of power from the steam turbine.  The average…

Fundamentals of Heat and Mass Transfer Seventh Edition Problem – 1.40

Fundamentals of Heat and Mass Transfer Seventh Edition Problem – 1.40

ByEngineeringCheatSheet.com

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=25C. The chips have an emissivity of ε = 0.60 and a max allowable temperature of Ts = 85 C. (a) If heat…

Radial Heat Conduction

Radial Heat Conduction

ByEngineeringCheatSheet.com

Abstract The purpose of this lab was to determine the thermal conductivity k of the disk material by measuring the temperature distribution for transient and steady-state heat conduction in a cylindrical wall. To conduct this experiment cooling water was pumped though the HT10X Heat Transfer service Unit at approximately 1.5 liters/min. Initially the heating power…

temperature of each chip may not exceed 80°C, what is the maximum allowable power per chip? What is the maximum allowable power if a turbulence promoter is used to trip the boundary layer at the leading edge?

temperature of each chip may not exceed 80°C, what is the maximum allowable power per chip? What is the maximum allowable power if a turbulence promoter is used to trip the boundary layer at the leading edge?

ByEngineeringCheatSheet.com

An array of 10 silicon chips, each of length L=10 mm on a side, is insulated on one surface and cooled on the opposite surface by atmospheric air in parallel flow with T∞​=24°C and u∞​=40m/s. When in use, the same electrical power is dissipated in each chip, maintaining a uniform heat flux over the entire cooled surface….