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23-09-2012, 11:04 PM #11
Re: COP and Superheat - does is it help?
I try some writting her (Im not native English - so excuse for misspellings word and grammar)
If we take AC for cars in desert area with 2 degree C of evaporator and 70 degree C in condenser temperature no SH or SC on pipes before condenser/evaporator
compressor assume 1 in isentropic effectivity for more easy calculation (ie. ideal situation...)
(i know - is ugly way to put numbers)
R134a Temperature C
Pressure Mpa Enthalpy kJ/kg Entrophy kJ/kg Density kg/m^3
without SH
exchanger
2 0,31 251,62 0,93 15,46
Cold gas from evaporator
77,04 2,12 291,04 0,93 106,5 -39,42
work to the compressor
70 2,12 156,14 0,54 996,25 134,9
heat from condenser
2 0,31 156,14 0,58 29,66
After ex-valve
quality 0,51551
2 0,31 251,62 0,93 15,46 -95,48
Cooling power from evaporator
3,42
Heating-COP
-2,42
Cooling-COP
266,86
kg/hour refrigerant for 10 kW heat
17,26
m^3 i suction volume per hour for heat
95,87
cc efficiency volume on compressor on 50 Hz (3000 rpm) for 10 kW heating
267,87
liter liquid refrigerant before pressure loss in TXV for 10 kW heat 377,04 kg/hour refrigerant for 10 kW cooling 378,46 liter refrigerant/hour for 10 kW cooling power 24,38 m^3 i suction volume per Hour for 10 kW cooling 135,46 cc efficiency volume on compressor on 50 Hz (3000 rpm) for 10 kW cooling
and for HFO1234yf (new refrigerant for Car to replace R134a)
HFO1234yf Temperature
C
Pressure Mpa Enthalpy kJ/kg Entrophy kJ/kg Density kg/m^3
without SH
exchanger
2 0,34 201,99 0,74 18,83
Cold gas from evaporator
70 2,04 232,02 0,74 137,88 -30,03
work to the compressor
Q = 0,95 => steam in vapor out from compressor
70 2,04 141,07 0,53 882,47 90,95
heat from condenser
2 0,34 141,07 0,57 29,86
After ex-valve
quality = 0,62384
2 0,34 201,99 0,79 18,83 -60,92
Cooling power from evaporator
3,03
Heating-COP
-2,03
cooling-COP
395,82
kg/hour refrigerant for 10 kW heat
21,02
m^3 i suction volume per hour for heat
116,76
cc efficiency volume on compressor on 50 Hz (3000 rpm) for 10 kW heating
448,54
liter liquid refrigerant before pressure loss in TXV for 10 kW heat 590,94 kg/hour refrigerant for 10 kW cooling 669,64 liter refrigerant/hour for 10 kW cooling power 31,38 m^3 i suction volume per Hour for cooling 10 kW
174,31 cc efficiency volume on compressor on 50 Hz for 10 kW cooling
You lose COP going from R134a to HFO1234yf and volume flow on liquid line almost doubling compare to R134a for same cooling power and system need bigger pipe with more volume inside or accept higher flow rate and compressor have almost 30% bigger pumping suction volume for same cooling power.
If done HFO1234yf system witch suction SH with liquid line, is possibly make better COP and lower mass and volume flow (but how this work in car in hot temperature and maximum fan to cooling down compartment short after start and suction gas already hot from evaporator before SH-exchanger, this is different story)
HFO1234yf Temperature C
Pressure Mpa Enthalpy kJ/kg Entrophy kJ/kg Density kg/m^3
with SH-
exchanger
2 0,34 201,99 0,74 18,83
Cold gas from evaporator 2(g) -> 53 (g) 0,34 252,37 0,91 14,96 50,36 heat from SH- exchanger
53 (g) -> 110 (g) 2,04 293,37 0,91 92,37 -41
work to the compressor
110(g) -> 70 (liq) 2,04 141,07 0,47 882,47 152,3
heat from condenser 70(liq) -> 39(liq) 2,04 91,33 0.32 1048 -50,36 heat to SH- exchanger
39(liq) -> 2 (liq/g) 0,34 141,07 0,57 29,86
After ex-valve
quality = 0,317
2 0,34 201,99 0,79 18,83 -110,66
Cooling power from evaporator
3,71
Heating-COP
-2,7
cooling-COP
237
kg/hour refrigerant for 10 kW heat
12,6
m^3 i suction volume per hour for heat
70,03
cc efficiency volume on compressor on 50 Hz for 10 kW heating
226,48
liter liquid refrigerant before pressure loss in TXV for 10 kW heat 325,32 kg/hour refrigerant for 10 kW cooling 310,4 liter refrigerant/hour for 10 kW cooling power 17,3 m^3 i suction volume per Hour for cooling 10 kW
95,97 cc efficiency volume on compressor on 50 Hz for 10 kW cooling
With good heating transfer SH-exchanger seem HFO1234yf working very good - better than R134a without SH-exchanger and almost all this is depend to make cooler liquid line before TXV and quality of evaporated mass going from 0.62 of liquid mass for self-cooling to only 0.317 of liquid mass and have almost double of usable liquid mass in evaporator to absorb heat.
But i real world you have heating from compressor easily exceed maximum 110 degree C of hot gas temperature from compressor, SH-exchanger not work perfectly and we have also starting process before we have any cool suction gas from evaporator to feed SH-exchanger...
Interesting notice how this look in using DiMetylEther (short DME) in car-using situation - this single refrigerant is very similar to R12 an R134a in pressure at same temperature
DME Temperature C Pressure Mpa Enthalpy kJ/kg Entrophy kJ/kg Density kg/m^3
with out SH -
exchanger
2 0,29 522,82 1,93 6,26
Cold gas from evaporator
84,87 1,81 613,14 1,93 35,6 -90,32
work to the compressor
70 1,81 264,72 0,91 578,47 348,42
heat from condenser
2 0,29 264,72 0,99 15,56
After ex-valve
quality = 0,49706
2 0,29 522,82 1,93 6,26 -258,1
Cooling power from evaporator
3,86
Heat-COP
-2,86
Cool-COP
103,32
kg/hour refrigerant for 10 kW heat
16,5
m^3 i suction volume per hour for heat
91,65
cc efficiency volume on compressor on 50 Hz for 10 kW heating
178,62
liter liquid refrigerant before pressure loss in TXV for 10 kW heat 139,48 kg/hour refrigerant for 10 kW cooling 241,12 liter refrigerant/hour for 10 kW cooling power 22,27 m^3 i suction volume per Hour for cooling 10 kW 123,73 cc efficiency volume on compressor on 50 Hz for 10 kW cooling
DME have high latent heat compare to most other refrigerant except ammonia, so not need so much liquid refrigeration mass to give lot of cooling power
(i hope is not made to much mistake on all calculation and numbers above and make wrong conclusion depend of them in later text here.)
Some compare:
for 10 kW cooling at 2 degree C for evaporator and 70 degree C on condenser R134a HFO1234yf HFO1234yf with SH exchanger and 110 degree C hot gas from (ideal) compressor DME
(dimetyl ether)mass flow kg/hour 377 591 325 139 volume flow liq liter/hour 379 669 310 241 cc on compressor at 50 Hz (3000 rpm) 135 174 96 123,7 suction volume m^3/hour 24,38 31,4 17,5 22,3 cooling-COP 2,42 2,03 2,7 2.86
DME not winning to have SH exchanger
DME have almost same burning heat as methanol/etanol in air - around half of energy per kilo compare burning propane/butane - Need also higher lever of leak gas blend in air before lowest explosion level compare to HC (around 3.5 percent in air, HC have 2 percent limit) and if make design right on for example car-AC with smaller pipes (going from 8 mm to 6 mm on liquid line ex.) etc. it needs only 150 - 180 gram DME refrigerant compare to standard small/medium car with 470 gram R134a load for same cooling power..
ie. load is close to allowed maximum HC-refrigerate mass inside fridge and freezer for indoor using (max 150 gram HC) with free placing and no demand of extra ventilation.
With HFO1234yf you need going up some size on pipes and bigger load of refrigerant to take more mass-flow and if using SH-exhanger with some usable area inside, take also lot of liquid volume. I expect around 30% more refrigerant with HFO1234yf compare to R134a for same cool-power.
But.. last time i look in new car with new HFO1234yf filled - newer see any trace of SH-exhanger in cooling loop, evaporator seems not enforced/rugged. TXV still inside compartment area with O-rings-sealing as standard in many car, and build pretty same as ordinary R134a-system, but now we have flammable refrigerant with poison fumes if burning...
So they either take down cooling capacity a bit or work with high mass flow and lower COP in system, so after pretty tales about carbon oxide foot-print and so on, seems in the end cheating and only using cheapest solution provided and payed from refrigerant makers in time had possibility to make serious move to non synthetic and nature and more effective existed refrigerant...
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Is very lively discussion over year if people slightest thinking to using HC as propane and isobutane-blend in car-AC - but now is flammable refrigerant is provided from 'right side' - seem now OK even if refrigerant burning make poisonous hydrofluoric gas in some percent in smoke (0.1 percent hydrofluoric gas in breathing air is deadly even in very short time as couple of seconds).
As consumer as me want have some choice between refrigerant in car in case of burning and for me is very easy to select between car with 700 grams of HFO1234yf and giving poison smoke if burning compare 150 gram of DME for same cooling power and with burning have same smoke as over Trangia stove burning ethanol...Last edited by xxargs; 24-09-2012 at 12:44 AM.