Chapter 17, Problem 123E

(a)

To determine

To show: The initial temperature distribution in a diagram.

(b)

To determine

The final temperature distribution after long time.

(c)

To determine

To sketch: The temperature distribution at intermediate times.

(d)

To determine

The initial temperature gradient at the ends of the rod.

(e)

To determine

The initial heat current from the ends of the rod into the bodies making contact with the ends.

(f)

To determine

The initial heat current at the center of the rod and its value at any later time.

(g)

To determine

The value of the thermal diffusivity for copper.

(h)

To determine

The initial time rate of change of temperature at the center of the rod.

(i)

To determine

The time required by the center of the rod to reach its final temperature.

(j)

To determine

Whether the rate of temperature change at the midpoint remain constant, increases or decrease as a function of time.

(k)

To determine

The initial rate of change of temperature at a point $2.5\text{cm}$ from the left end of the rod.