Quote:
Originally Posted by Xyxyll 
It's no theory. It's the first law of thermodynamics. "The increase in the amount of energy stored in a control volume must equal the amount of energy that enters the control volume, minus the amount of energy that leaves the control volume."
This sounds remarkably similar to the equation you worded out, and that's right because it's the same! What you're missing is how the equation changes when you reach steady state.
So what happens when steady state core/pcb temperatures are reached (i.e. max temperatures)? Well, the amount of energy stored in the core and pcb (i.e. it's temperature above ambient), no longer increases. It is constant, so all future energy inputed to the system is dispersed.
Now let's try and understand how the coolers can still output the same heat, despite different temperatures.
Here's a general heat rate equation for convection: q"=hΔT, where q" is the convective heat flux, h is the convection heat transfer coefficient (determined by the cooler's materials, surface area, fan speed, shape, etc), and ΔT is the temperature difference between the card and the surrounding air.
Once steady state is reached (your 50C and 90C card example), both constant-temperature cards transfer exactly the same energy to the air (heat in = heat out). The better cooler transfers the heat with a lower temperature delta because it's h value is higher, and the poorer cooler transfers the heat with a higher temperature delta because it's h value is lower.

It's no theory. It's the first law of thermodynamics. "The increase in the amount of energy stored in a control volume must equal the amount of energy that enters the control volume, minus the amount of energy that leaves the control volume."
This sounds remarkably similar to the equation you worded out, and that's right because it's the same! What you're missing is how the equation changes when you reach steady state.
So what happens when steady state core/pcb temperatures are reached (i.e. max temperatures)? Well, the amount of energy stored in the core and pcb (i.e. it's temperature above ambient), no longer increases. It is constant, so all future energy inputed to the system is dispersed.
Now let's try and understand how the coolers can still output the same heat, despite different temperatures.
Here's a general heat rate equation for convection: q"=hΔT, where q" is the convective heat flux, h is the convection heat transfer coefficient (determined by the cooler's materials, surface area, fan speed, shape, etc), and ΔT is the temperature difference between the card and the surrounding air.
Once steady state is reached (your 50C and 90C card example), both constant-temperature cards transfer exactly the same energy to the air (heat in = heat out). The better cooler transfers the heat with a lower temperature delta because it's h value is higher, and the poorer cooler transfers the heat with a higher temperature delta because it's h value is lower.
But you're missing the point. If you plot out the heat dissipation for both after firing up the computer, running say Furmark for 5 minutes on each, the total heat dissipation from the first 5 minutes will be lower on the card with the hotter GPU core; assuming the heat stored in the heatsink and PCB are at least equal to the cooler card. In steady state, they both dissipate the same amount of heat, yes. All systems don't necessarily reach steady state . So, it's not accurate to say that the heat dissipated = heat generated on an instantaneous basis, unless the system is in steady state.
Note that 1. I agree, heat dissipated = heat generated, start to finish (and in a steady-state system), but 2. Heat dissipated doesn't = heat generated on an instantaneous basis until you get to a steady state - as I've already laid out. So, steady-state, yes heat in = heat out on instantaneous basis. If it's not steady state, or wasn't steady state since the start of the process, you can't say total heat in = total heat out, until the process completes (by process completing, I mean heat generated stops, the system is given time to return to ambient).
Edited by jrbroad77 - 5/11/12 at 7:19am













On the contrary, on chips its not weird to see total heatput gets REDUCED the better you cool them. Why? Circuits are more efficient when they run cool, which means that at a certain temperature they will require less power to run at the same clocks and thus why, funnily enough, if you improve its cooling capacity you can even improve its efficiency (as hot transistors get leakier, and the leakier, the more current they need, the leakier they get and so on).







