describe metrics formula with cavets description
The purpose of HXR 600 is to condense the cooled argon that comes out of HXR500. Because it is not quite at its condensation temperature, the argon is normally cooled around 30-50F in HXR600 before it is condensed. Cooling is done by liquid nitrogen, which vaporizes in the exchanger and is heated to slightly above its boiling temperature (it is superheated).
There are some key differences in calculating the heat transfer coefficient for HXR 600. This is because the flow of argon from HXR500 is not the only argon being cooled in HXR600. There is also an additional amount of flow from TK700 that is sending any argon recycling within the system back into HXR600.
When we try and perform a duty balance on the liquid nitrogen flow entering HXR 600 with the argon flow coming from HXR500 alone, we find there is more duty going into the nitrogen. This is because the argon recycle flow rate has not been accounted for. By performing a duty balance we can therefore estimate the amount of argon recycling from TK700. The steps for the analysis of HXR600 are therefore:
hxr600_ar_duty = argon mass flow rate * argon enthalpy of condensation
163.6294416 * 0.429923
coldbox_lbh
hxr600_n2_duty = N2 mass flow rate * N2 enthalpy of evaporation
198.9285714 * 0.429923
hxr500_n2_mfr_balanced
hxr500_duty_N2/argon enthalpy of condensation
hxr600_ar_recycle_mfr = argon max mass flow rate - argon mass flow rate
hxr600_n2_recycle_mfr = hxr600_ar_recycle_mfr * (N2 mass flow rate/argon mass flow rate)
PT601
and PT603
to calculate the temperatures of liquid nitrogen and liquid argon.
-333.55 + (0.9963* PT603) + (-0.0058* PT603^2)
-322.82 + (1.5963* PT601) + (-0.0157* PT601^2)
Temperature difference = saturation temperature of N2 - saturation temperature of argon
hxr600_htc = hxr600_ar_duty/(Temperature difference * Heat Transfer Area)
hxr600_fr = (1/hxr600_htc) - (1/hxr600_htc_clean)
hxr600_htc_clean
is described in more detail below. It is calculated as a function of flow ratehxr600_biot = hxr600_htc_clean * hxr600_fr
take a look at github
Output metrics:
hxr600_ar_duty
hxr600_n2_duty
hxr600_ar_recycle_q
hxr600_ar_recycle_mfr
hxr600_ar_recycle_scfm
hxr600_n2_recycle_mfr
hxr600_n2_recycle_scfm
hxr600_htc
hxr600_fr
hxr600_biot
hxr600_htc_clean
Input conditions:
ft_202_scfm if coldbox_scfm > 100
te601 = ....
:
TE601 - 20
TE601 - 34
TE601
List of HXR600 Areas for each site provided below.
Site | Site # | Surface Area (ft2) |
---|---|---|
Cartech | 13007 | 2658.5 |
ATI2 | 15008 | 2218.9 |
OER 2 | 16006 | 3544.7 |
HMI | 14002 | 5003.1 |
ATI3 | 16005 | unknown |
WG | 15002 | 1707 |
ATI1 | 20009 | - |
SMC | 19004 | - |
hxr600_htc_clean
Our heat exchangers when they were purchased had a baseline efficiency value that determines how well they transfer heat. That is this metric the clean heat transfer coefficient.
As the heat exchanger operates for a long time it slowly becomes dirty and becomes less efficient, which we track by the live heat transfer coefficient. HX600_htc.
We use the clean value here to compare it to the live value to see how efficiency is dropping over time.
The energy a heat exchanger can output is dependent on the rate or argon flowing through it, as obviously if you want to cool more argon, you need to pull more energy per second from the stream. This is why this metric the clean HTC, has a correlation with flow rate.
Default Formula
Polynomial fitting based on ft_202_scfm