craserv said:
My colleague has been developing a hybrid water/forced air heat transfer system for a prototype lighting solution we are developing.
I am struggling to get my head around the calculations required to figure out exactly how many watts of energy (heat in this case) are being transferred to the coolant (water) as it passes through it's radiators.
We are driving the at 750 watts, the fixture's LEDs are ~12% efficient--- so how would we calculate exactly how much of the remaining 660 watts radiant heat is being transferred to the coolant via our cooling system?
Thanks for in advance, any help would be greatly appreciated.
I gather that this is still in the design phase and you are trying to size the cooling system. If the LEDs are surface mounted on a ceramic substrate that is bonded to a water-cooled Copper heat sink, the answer is 'most of it' (assuming adequate water flow). If the LED configuration is screw-in as the household consumer ones are, then the answer is 'practically none.'
The general approach is to define the amount of energy to be removed (660 Watts), the maximum desired LED temperature, and the temperature of what ever you are dumping the heat to. From that you calculate the temperature difference you have available to transfer the heat. Divide the temperature difference by your 660 Watts to yield the maximum allowed Thermal Resistance (Degrees C per Watt, °C/W) from LED to Coolant. (Another way to show that is as Watts/°C, the reciprocal of what I calculated here. Use which ever you are comfortable with.)
With a fluid coolant, water in this case, you need the incoming temperature and the heat capacity of the fluid, (generally given as Watts per °C per unit weight.) With the heat capacity of the fluid, the fluid flow rate, and the thermal energy entering the fluid, you calculate the fluid temperature rise. The temperature rise plus the temperature of incoming water gives the exit temperature. For initial calculations, you can use the average of the incoming and exit temperatures.
Since you are using forced air to a radiator to water, you have the extra stage with Air as the initial working fluid and Water as the second working fluid.
That is the easy part. The Engineering part is creating an LED mounting method with a low enough thermal resistance to keep them cool.
Well, that is my two cents worth. Others here are much better at walking you thru the fine details and finding the material constants you will need.
Hope it helps, and good luck.
p.s. I'm curious. Those are some awfully bright LEDs, what are they being used for?