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BTU Calculation

04/16/2008 11:34 PM

A 1500 sq ft structure with energy star rating; R25 walls, R40 ceiling, R11 windows six at 30"x60" and three 32" Taylor insulated steel doors. Using radiant heat, about 35 gallon closed loop aqueous system includes 450' of 3/8" ID hose with remainder in old fashioned floor standing radiators. What BTU rating and flow rate of electric tank less hot water heater would be necesary to maintain interior temperature of 70° when outside could be -25°?

Thank you for the time and thought

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#1

Re: BTU Calculation

04/17/2008 7:07 AM

I'm not so sure a tank-less would be the best choice for your application.

From what I've read about the tank-less water heaters, they are a demand type of appliance, not intended for closed loop operation. Inlet water temperature is normally 50-60F with outlet being normally held to 120F max.

Think about what your inlet and outlet temps will be in closed loop operation when the building reaches optimal temperature, and then look at the specs for the most common tank-less heaters. My experience in installing closed loop systems is that your boiler outlet temperatures are usually set around 180-190F, higher than a tank-less is designed for. I could almost guarantee you would not get the performance you are looking for.

My advice would be to look into a small boiler or tank type water heater. If you have propane or natural gas available that would be the most economical choice for commercially available fuel, or you could look into bio-waste fueled options.

Good luck!

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#2
In reply to #1

Re: BTU Calculation

04/17/2008 9:47 AM

From what I've read about the tank-less water heaters, they are a demand type of appliance, not intended for closed loop operation. Inlet water temperature is normally 50-60F with outlet being normally held to 120F max.

I intend to cause the thermostat to switch the circulatory pump activating the tank less heater.

The models I intend to use are processor controlled, in that the input temperature is known to fluctuate and the device will automatically adjust the use of four elements to the required temperature gain while maintaining and out put temperature adjustable 110° to 170°.

The result of BTU calculation supplied by the electric company 13,500 differs immensely from the recommended BTU 105,000 of the plumber.

Having given the pertinent info I am of hopes a recommendation can had that more reasonably reflects a comparison of the mathematical sum.

Thanks

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#3

Re: BTU Calculation

04/17/2008 11:29 AM

Temperature difference is 7o - -25 = 95 degrees F. The inverse of R 40 is 0.025 Btuh/ sq. ft. degree F 0.025 Btuh/sq. ft. degree F x 1500 sq.ft. x 95 degree F =3562.5 BTUH ceiling heat loss

The inverse of R 25 is 0.04 Btuh/sq. ft. degree F .04 Btuh/sq. ft. x (assumed 10 ft height x assumed perimeter of 80 ft. - (6 x 12.5 sq.ft. for windows) - (3 x 18 sq.ft. for doors)) x 95 degrees F = 5589.8 BTUH wall heat loss

The inverse for R 11 is 0.09 Btuh/sq. ft. degree F .09 Btuh/sq. ft. x 75 sq.ft. x 95 degrees F = 641.25 BTUH window heat loss

Assumed R value for doors based on foam insulation value of R 5 per inch at a thickness of 1.5". The inverse fo R 7.5 is 0.13 Btuh/sq. ft. degree F .13 Btuh/sq. ft. x 54 sq. ft. x 95 degrees F = 666.9 BTUH door heat loss

15 % has to be added to one wall for wind shear (assumed .25 of wall, window and one door area) (1397.45 BTUH + 160.31 BTUH + 222.3 BTUH)/3 = 267 BTUH wind shear losses

I am not totally familar with energy star ratings as to air infiltration rates so I estimate one air change per hour. 15000 cu. ft. / 13 cu. ft. per lbs. x .24 Btu/lbs. x 95 degrees F = 63,120 BTUH for air infiltration

Total BTUH is approimately 77409 BTUH. 77409 BTUH / 10000 = 7.75 gpm with a 20 degree temperature drop through the heat transfer system.

There is no R value for the floor or if the structure has a basement.This value will vary depending on how much of your system will have radiators and how much of the system is radiant heat as the transfer systems operate at two different temperatures

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#4
In reply to #3

Re: BTU Calculation

04/17/2008 1:26 PM

Man Bravo you are something. Not my field but I've saved your calculation, will help me out someday when I do come across something like this.

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#5
In reply to #3

Re: BTU Calculation

04/17/2008 11:40 PM

Please please explain me :

The inverse of R 40 is 0.025 Btuh/ sq. ft. degree F .

What do you mean by inverse? What is R 40? and how to arrive at Btu/h value?

Similarly same questions for:

(a) The inverse of R 25 is 0.04 Btuh/sq. ft. degree F .

(b) The inverse for R 11 is 0.09 Btuh/sq. ft. degree F .

(c) Assumed R value for doors based on foam insulation value of R 5 per inch at a thickness of 1.5". The inverse fo R 7.5 is 0.13 Btuh/sq. ft. degree F .

Please assume me here as a fresh high school. For my crave for learing I'd bow to any level yet not feel at all

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#8
In reply to #5

Re: BTU Calculation

04/21/2008 2:23 PM

An R value describes the resistance to heat transfer of a material. To find heat transfer through an object (the direct opposite of heat transfer), the R value is inversed. An R value of 40 would have a heat transfer value of 1/40 or 0.025. Similarly, a heat transfer value would be inversed to find the R value.

I have left the units off the R value. Heat transfer values have units of Btuh/sq. ft. degree F. As the numerical values are inversed so are the units, so an R value would have units of sq. ft. degree F/Btuh. I hope this helps.

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#12
In reply to #8

Re: BTU Calculation

04/21/2008 9:42 PM

THANK YOU ALBINO MOOSE NOW I CLEARLY UNDERSTAND AND THANK YOU FOR TEACHING ME SOMETHING NEW.

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#6
In reply to #3

Re: BTU Calculation

04/18/2008 12:13 AM

Albino Moose, I agree with all your calculations, as they are done in accordance with ASHRAE std practices for heat loss calculations. I would respectfully request you think about your infiltration assumption of 1 ACH (air change per hr), as this is quite high. ASHRAE recommends around .33 to .35 ACH, and with an Energy Star house, it should comply with ASHRAE recommendations. I'm surprised you took the R11 value for the windows at face value, as I'm not aware of any windows (even triple pane!) that have R values this high. If the house has a basement, it is a pretty safe to assume the basement floor in an Energy Star house has a couple inches of either EPS or XPS under the concrete, giving it an R10 rating, and assume the temp delta is about 20-25 degrees F. Ditto for the walls.

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#7
In reply to #6

Re: BTU Calculation

04/19/2008 9:24 PM

.33 to .35 ACH respectively yes. Basement is R10 underslab/vapor barrier and in floor heat via dual zone tankless heater; one zone for slab one for radiators, R40 walls no exterior doors.

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#9
In reply to #6

Re: BTU Calculation

04/21/2008 2:31 PM

I agree air change estimate was high as I did not have any references in front of me. I did question the R value of the window as I was writing out the example but decided to leave it since I wished only to show how to calcute the heat loss.

I sit corrected

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#10
In reply to #9

Re: BTU Calculation

04/21/2008 4:48 PM

Thank you for contributing (:

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#13
In reply to #9

Re: BTU Calculation

10/07/2008 11:53 PM

I know I'm a little late to the thread but I'd like to add one more comment. Albino, I agree your example works well to demonstrate the method for calculating heat loss. However, one must be careful to use the actual equivalent R-value for the entire wall, ceiling, floor, etc, when taking the inverse to use in the heat flow equations. I will use U-factor to be the inverse of R-value.

For example, here in Oregon the basic residential energy code requires R-21 wall insulation. Out of convenience this is called an R-21 wall. The equivalent U-factor required by code is U-.060, which corresponds to just an R-16.7 value. Therefore, when doing the heat loss calculation you would use U=.060 not the .048 number one would get from taking 1/21.

The reason for this is that the wall assembly contains framing members which conduct heat much better than the cavity insulation. These thermal "shorts" act to reduce the overall R-value of the complete wall.

In the example given here, we can use ASHRAE methods (parallel path in this case) to determine that a 2x6 wood frame wall with studs 16"OC, with 1/2" sheetrock and siding over R-25 cavity insulation would have a U-factor of .056. Which is to say the whole-wall R-value is only R-17.9 (1/.056=17.9) This includes the inside and outside air film resistances.

So the true heat loss through the walls would be nearly 30% more than shown in your example. A similar calculation could be done for the ceiling.

If anyone reading this has experience calculating U-factors for light gauge steel frame construction please contact me!!

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#11
In reply to #6

Re: BTU Calculation

04/21/2008 9:38 PM

The windows are a well with dual dual panes opposed by 5" free air. when exterior temp falls below zero I will close exterior insulated shutters and interior insulated shutters. I do not require seeing first hand when cold is creating a likeness of a lunar surface.

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