interesting.
You will probably need a good pump to get the water moving fast enough that freezing in the pipes would not be an issue.
are you going to have a tortuous path way? or just a more simple array of parallel pipes going down the driveway.
You will need massive flow rates, probably something like the total flow of a fire hydrant when openned up.
At the minimum you should perform an heat transfer analysis between the concrete and water and tube. It will be similar to an example of a pipe with insulation wrapped around it. Text books will have the k values you need, and at the moment, you have the inside temperature (water), so you can calculate the interface temperatures and finally the temperature of the concrete (make up ID of pipe) to see if this would even work.
You may find that the power required for the pump(s) severely dwarfs the power required to electrically heat the driveway.
You will probably need a good pump to get the water moving fast enough that freezing in the pipes would not be an issue.
are you going to have a tortuous path way? or just a more simple array of parallel pipes going down the driveway.
You will need massive flow rates, probably something like the total flow of a fire hydrant when openned up.
At the minimum you should perform an heat transfer analysis between the concrete and water and tube. It will be similar to an example of a pipe with insulation wrapped around it. Text books will have the k values you need, and at the moment, you have the inside temperature (water), so you can calculate the interface temperatures and finally the temperature of the concrete (make up ID of pipe) to see if this would even work.
You may find that the power required for the pump(s) severely dwarfs the power required to electrically heat the driveway.
