Calculating Solar Water Heating Efficiency

AI Thread Summary
To determine how long it will take for the water in the tank to reach 80°F, one must consider the heat exchange between the two tubes and the flow rate of 1 gallon per minute. The 1" diameter tube with water at 250°F will transfer heat to the surrounding 2" diameter tube filled with water at 40°F. Given the continuous flow and the assumption of constant sunlight, calculations involving specific heat capacities and flow dynamics are necessary. The efficiency of the heat transfer will significantly impact the time required to heat the water. Accurate calculations will provide a clearer estimate of the time needed to achieve the desired temperature.
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Is there anyone out there that can help me answer a question I have related to solar heating of water.

- There is a 1" diameter x 4' long glass tube filled with water having an input temperature of 250F.

- There is a 2" diameter tube surrounding it, 4' long, filled with water coming from the opposite direction at a temperature of 40F.

- The Flow rate is 1 gal/min.

- I have 100 gal tank.

How long before the water reaches 80F?

For the sake of simplicity let's assume the sun shinning 24 hours a day.

Any help answering this question would be greatly appreciated.
 
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have you tried some kind of solution?
 
A solution is what I am looking for.

As it has been a while since I am out of engineering school, and have no ready access to the calculations, I was hoping for a little help.
 

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