ME 4313 Heat Transfer Design Project

Summer 2015

A 100-cm long aluminum bar, with perfectly insulated sides, has its ends kept at constant

temperatures of 0 oC and 100 oC from start until steady state conditions are reached.

a. Derive an analytical expression for the temperature distribution along the length of the rod

and for various time values.

b. Write a script using MATLAB and plot the temperature distribution along the length of the

rod for progressive time intervals. Using the plot approximately determine the maximum

time after which steady state is reached.