Question

A long conducting rod of rectangular cross section (20 mm 30 mm) and thermal conductivity k 20 W/m K experiences uniform heat generation at a rate q . 5 107 W/m3, while its surfaces are maintained at 300 K. Using a finite-difference method with a grid spacing of 5 mm, determine the temperature distribution in the rod.

Answer 1

Step-by-step explanation:

We are assuming that there is

a steady state two dimensional conduction

constant properties

uniform volumetric heat generation

From symmetry, we will be determining 6 unknown temperatures.

See attachment for calculation and and tabulation

With T(s) = 300 K, the set of equations were written directly into the IHT work space and solved for nodal temperatures.

The result is seen in the second attachment