Which is better to conduct heat thin or thick copper pipe?
It depends. Exactly what kind of heating/cooling are you doing? Exactly how do you define better? Are you flowing water inside the tube and using that water to carry heat away from some fluid or gas that is outside the Cu pipe? Are you flowing air or another gas inside the pipe? What is the flow rate inside the pipe? What is the flow rate outside the pipe? What are the operating pressures? What are the operating temperatures? Are you interested in very short duration heat transfer or will this be running for minutes or hours or days or years or decades at steady state thermal conditions? Will corrosion be concern? How long does it need to last? What are the consequences if it fails? In general, thinner will conduct heat faster than thicker. As soon as you ask about better or worse, you need to be very specific.
In conducting heat from one side of a pipe to another you have basically three things to consider. First is the inside heat transfer coefficient. Second is the heat transfer coefficient of the pipe and then you have the outside heat transfer coefficient. The inside and outside coefficients are effected by the fluids involved, the temperature of the fluids and velocity of the fluids. You add these three coefficients together to get the over all coefficient of heat transfer. If you were to do this with a copper pipe you would find that the thickness has almost no effect on the overall heat transfer coefficient because the copper is such a good conductor of heat. Now to you basic question. The thinner the wall of the pipe regardless of the material, the more heat it will conduct.
Conduct heat from where to where ?? In some setup it is better to have thin pipes and in another setup the reverse is right. More Precious words are needed for your question.
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Just go to a good mechanic and get it fixed--there can be a million answers to your questions--but no one can say anything unless they are under your car.
