What does the heat equation tell us about heat flow and energy balance?

[TSN79]

I'm considering a wall, using this equation:

$$Q_P + \rho \cdot C_P \cdot \dot V\left( {T_O - T_R } \right) = U \cdot A\left( {T_R - T_O } \right)$$

Where Q_P is added effect (an oven), $\dot V$ is air-flow, and the rest should be self-explanatory. I'm just not sure what it tells me. The right side gives me the leakage of heat, but I'm not sure what the left side says. Could someone explain?

 

[FredGarvin]

Energy in = Energy out...

It looks like you have the input energy in the form of Qp and a stored energy component in the moving air stream. I'm still wondering about the units in that group though...

 

[TSN79]

Well it's Watt on both sides...

 

[thearny]

Q=MCpdT
and Q=UAdT
so yeah heat flows, energy in=energy out.
But I think its Joules on either side.