# Obtain the heat flow equation (1.3) as follows: The quantity of heat Q flowing across a

**Chapter 13, Problem 4**

(choose chapter or problem)

Obtain the heat flow equation (1.3) as follows: The quantity of heat Q flowing across a surface is proportional to the normal component of the (negative) temperature gradient, (T )n. Compare Chapter 6, equation (10.4), and apply the discussion of flow of water given there to the flow of heat. Thus show that the rate of gain of heat per unit volume per unit time is proportional to T. But T /t is proportional to this gain in heat; thus show that T satisfies (1.3).

**Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber. **

**Becoming a subscriberOr look for another answer **