Problem

Consider two slabs of lengths and , and cross-sectional area . The respective thermal conductivity constants are and .

Part 1: Based on the below diagram, calculate the temperature between the two slabs .

Part 2: Calculate if and .

Heat slabs.gif

Solution

Part 1

Temperature naturally flows from higher temperature to lower temperature. Based on the diagram, the heat flows at a rate from left to right.

Thus,

Consequently,

.

Part 2 If and ,

becomes

.

Factoring out yields

.
Community content is available under CC-BY-SA unless otherwise noted.