# Tank Heat Loss Test

This is a test to estimate heat loss from the storage tank on our solar water heating system.  The heat loss from the tank is important in that heat lost out the tank walls is heat that can't be used for hot showers etc.  As the test shows, the loss is significant, and reducing tank heat loss is definitely worthwhile.

Page Directory:

The Test and Actual Heat Loss

Calculated Heat Loss

Plan of Action

Conclusion and Recommendations

2nd Heat Loss Test...

Pictures of the tank construction here...

## The Test and Actual Heat Loss

To get an idea what the loss from the tank alone is, during a two week period when we were away from home, I turned the system off, and let the tank cool down through its own heat loss alone.  The plot below shows the result.  The tank went from about 120F down to about 72F over the 2 week period.

Red line is top of tank temperature (F)

Blue is bottom of tank temperature (F)

Not shown is crawl space temp, which averaged 53 F without a lot of variation.

I used the temperature drop over 2 of the 24 hour periods to estimate the actual heat loss to be about 4.3 BTU/hr for each degree of temperature difference between the tank water and the ambient temperature around the tank.  This actual loss is just based on how much the tank temp drops in the 24 hour period, since there are 164 gallons, or 1370 lbs of water, each 1F drop in tank temperature is a loss of 1370 BTU.

So, when the tank is up around 120F, and the crawl space is around 50F, the heat loss per hour is about (120F - 50F)(4.3 BTU/hr-F) = 300 BTU/hr, or 7200 BTU per day.  This 7200 BTU loss over a day is just as though you used an extra 14 gallons a day in showers etc.   Since our total hot water usage for a full day is probably less than 30 gallons, this heat loss from the tank is significant.

So, this brings up some questions:

- Is the heat loss about what you would expect from the R value of the insulation around the tank?

- If not, then what is causing the excess heat loss?

- What can be done to further reduce the heat loss, and would it be cost effective?

## Calculated Heat Loss Based on Insulation

The tank is insulated as follows:

All insulation is polyisocyanurate with an R value of about 6.5 per inch of thickness.

Walls - 2 inches inside the plywood tank wall + 1.5 inches outside the plywood where the frame allows it.

The inside 2 inches is R13 and the effective R value for the 1.5 inches allowing for bridging from the tank frame is about  R9.1, so the total R value for the walls is R 22.

Bottom - 2 inches inside the plywood + 2 inches between the dirt and the plywood.  This gives a total R value of about (2 + 2)(6.5/in) = R 26.  The dirt has 2 layers of poly sheeting to keep moisture out of the insulation.

Top - most of the lid is 2 inches + 1.5 inches of insulation with a thin sheet of plywood between.  The total R value is about (2+1.5)(6.5/in) = R23

There is a fixed portion of the lid that has only 2 inches of insulation.

I used an eyeball average of R23 for the full tank.

Heat Loss = (Area)(Tin - Tout)/(Rvalue)

For the area, I used the average of the inside and outside surface area. = 67.3 sqft.

So, the heat loss per degree should be

Heat Loss/ degree = (67.3 sqft)(1F)/R23 = 2.92 BTU per degree of temperature difference.

So, the actual heat loss rate is (4.3/2.9) = 1.5 times the calculated rate accounting for only heat loss through the insulation.  There are other sources of heat loss, such as:

Any water vapor that manages to escape through imperfect lid sealing takes about 1000 BTU per lb of water with it.

The places where pipes enter and leave the tank result in heat losses along the the pipes.

The insulation slab under the tank has some gaps that air could flow through that would reduce the effectiveness of the under tank insulation.

The thermal bridging of the external tank frame and the edge board may result in more loss than is accounted for above.

I use the simple 2d heat loss equations, when it fact, this is a 3d heat loss problem, and this may account for some of the excess of the actual heat loss over the calculated heat loss.

## Plan of Action

Presumably, these "other" sources of heat loss account for the 50% greater heat loss than the simple R value based calculation.  Maybe its worth mentioning that every time I've ever tried to compare actual heat loss to calculated heat in real world situations, the actual loss has been significantly greater -- something to think about when you are choosing insulation thickness.  My guess is that that insulation manufactures carefully pick the circumstances under which they measure the the R values they  publish.  This, coupled with real world thermal bridging and other losses probably makes it worthwhile to overdesign insulations levels.

I will have a go at reducing some of the other heat losses mentioned above, including better lid sealing, foaming in any gaps in insulation, insulating the pipes better where they leave and enter the tank, and anything else I can think of.  Since I have never had to add water to the tank, I don't think the water vapor leakage is the main culprit, but  I will keep careful track of the tank water level to see how much water is evaporating.   I'll redo the test after doing this.

Even assuming that working some of the minor heat losses can get us down somewhere closer to the calculated value of about 3 BTU/F -hr, it seems like this is still going to be a significant portion of the incoming solar energy that is lost instead of going to hot showers.  So, maybe more insulation is in order.

Another inch of polyiso all the way around the whole tank would in theory raise the average R value up close to R30.  This would cut the loss down to 1 / (30/23) = 77% of what it was, or a 23% reduction.  An extra layer of 2 inch polysio would bring things up to about R36, or a 36% reduction in heat loss.

The insulation cost is about \$1 per sqft per inch of thickness, and it would take about 3 4X8 sheets to cover it all.  So, about \$100 for 1 inch more and about \$200 for 2 inches more.

\$200 seems like a lot for a system that costs \$1000 total!

Maybe I'll look around for a cheaper way to insulate -- any ideas?

## Some Conclusions and Recommendations

Some conclusions based on the test:

- Heat loss from the tank is likely to be significant (equivalent to losing 14 gallons of heated water a day on our tank)

- A good insulation scheme is important.

- Working on all sources of heat loss is important (water vapor loss, thermal bridging, ...)

In hindsight, I probably would have tried to put all the insulation inside the tank (on the inside of the plywood walls and just behind the EPDM liner) -- I think this is the best place because 1) there is no thermal bridging for inside the tank insulation, 2) the insulation panels are easier to cut, and 3) it takes less insulation because the insulation panels are smaller.  The only caveat is to not let the tank volume get so low that the pipe coil heat exchanger won't fit in the tank, or that you lose too much water volume.

## 2nd Heat Loss Test After Improvements

I did a few changes to try to reduce the tank heat loss:

- Insulated the pipes near the tank better

- Did some more sealing of small gaps between insulation boards and the tank framing using "Great Stuff"

- Did a bit more sealing with silicone around the lid and lid sealing board area.

- Lag screwed the lid down.  I used wood strips around the top edge of the lid with lag screws down through the strips, the tank insulation board and into the tank frame.  This pulls the lid down quite tightly and should eliminate any vapor leaks that might have been there.

The pump was off and no hot water was used from June 16 to to June 24.  The tank cools  down about 26F over this week.

Using two 24 hour periods to calculate actual heat loss of the tank, it comes out very close to the first test value of 4.3 BTU per hour per degree of temperature difference between the tank and crawl space temperature.

I also added a dip stick to measure the tank liquid level accurately to see if the level drops over time, which would indicate a vapor leak and a heat loss.  There was not detectable drop in water level from June 8 to June 30.

So, the changes did not appear to reduce the heat loss.  This is not surprising, because the things that were repaired did not seem that likely to me to make much difference.  Its still a puzzle to me why the actual heat loss is about 150% of the calculated loss, but its apparently not due to any of the things that I fixed or to vapor leaks.

So, the next phase will be to add some additional insulation on the outside of the tank.  I am thinking about trying to get some of the polyiso that has aluminum foil faces on both sides.  If I place (say) half inch sheets of this over the full outside of the tank walls, both foil layers will face an airspace and should add a descent additional R value over just the insulation.

Any other ideas are welcome -- please let me know.

Gary June 3, 2009,  June 30, 2009