k = isoentropic exponent

Ukubaluleka kwe k kwivalve yokhuseleko

ihlelwe ngu-Alessandro Ruzza

by Rentato Pintabona kwaye Panio Colacicco

Ubungakanani beevalvu zokhuseleko ezenzelwe ukukhupha iigesi okanye imiphunga, ngokwe-lspesl Collection "E", ifuna ulwazi lwe-isoentropic exponent k kwiimeko zokukhupha.

Ukusetyenziswa ngokungakhathali kwe-lspesl Collection "E" isahluko "E.1", ngokumalunga nobungakanani beevalvu zokhuseleko, kunokukhokelela ekugqithiseni ukugqithiswa kwamandla okukhutshwa kweevalve kunye neediski zokuqhawula.

Eli nqaku linika ezinye izikhokelo ukuqikelela ixabiso k kuba iigesi yokwenene kunye
ibalaselisa impazamo ngokuqwalasela u-k olingana nomlinganiselo wobushushu obuthile beCp/Cv

Impazamo yokuqala nenzulu ekufuneka iphetshwe kukusebenzisa ifomula ekuQokelweni kwe-'E', esebenzayo kwiigesi okanye umphunga, kwiimeko apho ukukhutshwa kwezigaba ezibini yolwelo kunye nerhasi/umphunga yenzeka. Kwiimeko ezinjalo, ngokwenene, i-diameters ebalwayo ngokuqinisekileyo iya kuba ngaphantsi xa kuthelekiswa nesidingo sangempela.

Impazamo yesibini, apho kwiimeko ezininzi inokukhokelela kwi ukunciphisa inkqubo yokhuseleko, kukunika i-isoentropic exponent k ixabiso lomlinganiselo we-Cp/Cv. Ngelixa inqaku lokuqala liya kuba ngumxholo woluhlu lwamanqaku alandelayo, apha singathanda ukunika iingcebiso eziluncedo ekubaleni i-isoentropic exponent kwaye sibonise, kwiimeko eziphathekayo, ubungakanani bempazamo enokwenziwa.

Ukuphuma kwe-isoentropic ngombhobho

Ifomula [1] esetyenziswa kwingqokelela “E”, nakwesinye isiTaliyane [2] nakwamanye amazwe [3] standIiardi, ekubaleni iivalvu zokhuseleko ekufuneka zikhuphe iigesi okanye umphunga, yileyo yokuphuma kwe-isoentropic ngombhobho phantsi kweemeko ezimandundu zokutsiba, ethi irhasi efanelekileyo ibe:

apho i-expansikwi-coefficient C inikwa ngu:

ukuba k i-exponent ye-isoentropic expansikwinxaki:

Fluid	I-P1 (bar)	T1 (°C)	q' (kg/h)	q (kg/h)	(q'/q) x 100
IMethane	12	50	1472	1466	100.4
IMethane	23	200	2314	2267	102.1
Ipropane	12	100	2261	2181	103.7
IHexane	12	178	3099	2740	113.1
IHexane	23	220	6519	5111	127.5
IHeptane	12	215	3232	2821	114.4

q'= izinga lokuqukuqela elibalwa nge k = Cp/Cv (20 °C, 1 atm)
q = ireyithi yokuhamba ibalwe nge k = (Cp/Cv) • (Z/Zp)

Ngokuzisa i-coefficient yovavanyo k Ukuphuma kwevalve yokhuseleko, ethathela ingqalelo ukusebenza kokwenyani kwevalve, i-coefficient yokhuseleko ye-0.9 kunye ne-compressibility factor Z.₁ kulwelo lokwenyani, sifika kuqulunqo lwengqokelela "E":

(1) [1]

I-isoentropic exponent k inokubonakaliswa ngolu hlobo:

[2]

Ku igesi efanelekileyo, nge P x V / R x T =1 , kuboniswa ukuba k ilingana nomlinganiselo weCp/Cv phakathi kobushushu obuthile kuxinzelelo oluqhubekayo kunye nomthamo.

Ye igesi yokwenene, k inokubonakaliswa (jonga kwiSihlomelo B) ngokuthi:

[3]

apho u-Z ngumba woxinzelelo oluchazwa ngu-Z=P x V / R x T kunye ne-Zp "yi-derived compressibility factor". Xa usebenzisa ifomula [3], ngokwengqokelela "E", amaxabiso eCp/Cv, Z kunye neZp kufuneka avavanywe kwiimeko zokukhutshwa P.₁ kunye T₁.

I-derived factor compressibility factor Zp ichazwa kwifomula [4] njenge:

I-compressibility factor Z inokubonakaliswa ngolu hlobo:

[4]

kwaye ngokufanayo, inokubonakaliswa ngolu hlobo:

[5]

apho amaxabiso okuthi Z^0, Z^1, Zp^0, Zp^1 adweliswe kwiSihlomelo A njengomsebenzi wePr kunye neTr.

In [4] kwaye [5], Ω yi Pitzer's acentric factor echazwe ngu:

[10]

Apho iPr^SAT luxinzelelo lomphunga olucuthiweyo oluhambelana nexabiso lobushushu elincitshisiweyo Tr=T/Tc=0,7. ISihlomelo A sibonisa ixabiso le-Ω lolwelo oluthile. I-Z e inokuthi ithathwe ngokuthe ngqo kwi-equation yohlalutyo lwelizwe.

Umzekelo wamanani

Ukuguqukela kumzekelo wamanani, cinga ukuba kufuneka sibale umthamo wokukhupha wevalve yokhuseleko phantsi kwezi meko zilandelayo:

Fluid		n-Butano
Imeko yomzimba		umphunga oshushu kakhulu
Ubunzima bemolekyuli	M	58,119
Misa uxinzelelo	P	19,78 bar
Uxinzelelo olugqithisileyo		10%
Ubushushu bolwelo	T	400 K
I-coefficient ye-Efflux		0,9
Idayamitha yeOrifice	Do	100 mm

Uxinzelelo lokukhupha lunikezelwa ngu:

ukuba ye-n-Butane: Tc=425,18 K kunye nePc=37,96 bar, si:

kwaye sisebenzisa iitheyibhile ezikwiSihlomelo A, sinazo:

Ukwazi umthamo othile womphunga kwiimeko zokukhupha (P1, T1) ilingana ne-0,01634 m^3/kg (0,0009498 m^3/g-mole), sinokubala i-Z ukusuka kwi-:

Ukunika umlinganiselo wobushushu obukhethekileyo kuxinzelelo oluqhubekayo kunye nomthamo, kwiimeko zokukhupha (P₁, T₁), ilingana no-1,36, ukusuka kwifomula [3] si:

147060

Ukusebenzisa ifomula [1], ngokubala izinga lokuhamba

Ukusebenzisa ifomula [1], eyasonjululwa ekubaleni izinga lokuhamba, sinexabiso lokukhupha isantya sokuhamba I-147.060 kg / h.

174848

Ukusebenzisa ifomula [1], usebenzisa ixabiso le-Cp/Cv kwi-1 atm kunye ne-20 °C

Ukuba endaweni yoko sisebenzise ixabiso le-Cp/Cv kwi-1 atm kunye ne-20 °C, ngese k = 1,19 kwaye ukusuka kwifomula [1] ukukhutshwa kwesantya sokuhamba kwe I-174.848 kg / h.

Oku bekuya kusikhokelela ekubeni ukuqikelela kakhulu ukukhutshwa umthamo wevalve yokhuseleko ngokujikeleza 19%

Isilumkiso:

Imposiso enokwenziwa ngokunika ixabiso Cp/Cv ku k ingaba phezulu kakhulu kulo mzekelo.

NGAPHEZU kwe-20%

Ukunika ingcamango, le theyibhile ilandelayo ibonisa izinga lokuhamba kwe-orifice ye-18-mm kwezinye ii-hydrocarbons ezigcweleyo, ezibalwe kwiimeko ezimbini. Ubalo lwenziwe nge-develo ekhethekileyoped Software.

Fluid	I-P1 (bar)	T1 (°C)	q' (kg/h)	q (kg/h)	(q'/q) x 100
IMethane	12	50	1472	1466	100.4
IMethane	23	200	2314	2267	102.1
Ipropane	12	100	2261	2181	103.7
IHexane	12	178	3099	2740	113.1
IHexane	23	220	6519	5111	127.5
IHeptane	12	215	3232	2821	114.4

Isoftware ayisebenzisi iifomula [4] [5] kodwa, ukuqala kuhlengahlengiso Redlich kunye Kwong equation karhulumente, ibala ixabiso le-isoentropic exponent usebenzisa ulungelelwaniso lwe-thermodynamic.

Ukubaluleka kwe-isoentropic exponent k kwiivalvu zokhuseleko

k = isoentropic exponent

Ukubaluleka kwe k kwivalve yokhuseleko

ihlelwe ngu-Alessandro Ruzza

by Rentato Pintabona kwaye Panio Colacicco

Eli nqaku linika ezinye izikhokelo ukuqikelela ixabiso k kuba iigesi yokwenene kunye
ibalaselisa impazamo ngokuqwalasela u-k olingana nomlinganiselo wobushushu obuthile beCp/Cv

Ukuphuma kwe-isoentropic ngombhobho

q'= izinga lokuqukuqela elibalwa nge k = Cp/Cv (20 °C, 1 atm)
q = ireyithi yokuhamba ibalwe nge k = (Cp/Cv) • (Z/Zp)

Umzekelo wamanani

147060

Ukusebenzisa ifomula [1], eyasonjululwa ekubaleni izinga lokuhamba, sinexabiso lokukhupha isantya sokuhamba I-147.060 kg / h.

174848

Ukuba endaweni yoko sisebenzise ixabiso le-Cp/Cv kwi-1 atm kunye ne-20 °C, ngese k = 1,19 kwaye ukusuka kwifomula [1] ukukhutshwa kwesantya sokuhamba kwe I-174.848 kg / h.

Oku bekuya kusikhokelela ekubeni ukuqikelela kakhulu ukukhutshwa umthamo wevalve yokhuseleko ngokujikeleza 19%

Isilumkiso:

Imposiso enokwenziwa ngokunika ixabiso Cp/Cv ku k ingaba phezulu kakhulu kulo mzekelo.

NGAPHEZU kwe-20%

IsiHlomelo A kunye no-B
ukuvela kweefomula

Partner

Ukubaluleka kwe-isoentropic exponent k kwiivalvu zokhuseleko

k = isoentropic exponent

Ukubaluleka kwe k kwivalve yokhuseleko

ihlelwe ngu-Alessandro Ruzza

by Rentato Pintabona kwaye Panio Colacicco

Eli nqaku linika ezinye izikhokelo ukuqikelela ixabiso k kuba iigesi yokwenene kunye ibalaselisa impazamo ngokuqwalasela u-k olingana nomlinganiselo wobushushu obuthile beCp/Cv

Ukuphuma kwe-isoentropic ngombhobho

q'= izinga lokuqukuqela elibalwa nge k = Cp/Cv (20 °C, 1 atm) q = ireyithi yokuhamba ibalwe nge k = (Cp/Cv) • (Z/Zp)

Umzekelo wamanani

147060

Ukusebenzisa ifomula [1], eyasonjululwa ekubaleni izinga lokuhamba, sinexabiso lokukhupha isantya sokuhamba I-147.060 kg / h.

174848

Ukuba endaweni yoko sisebenzise ixabiso le-Cp/Cv kwi-1 atm kunye ne-20 °C, ngese k = 1,19 kwaye ukusuka kwifomula [1] ukukhutshwa kwesantya sokuhamba kwe I-174.848 kg / h.

Oku bekuya kusikhokelela ekubeni ukuqikelela kakhulu ukukhutshwa umthamo wevalve yokhuseleko ngokujikeleza 19%

Isilumkiso:

Imposiso enokwenziwa ngokunika ixabiso Cp/Cv ku k ingaba phezulu kakhulu kulo mzekelo.

NGAPHEZU kwe-20%

IsiHlomelo A kunye no-B ukuvela kweefomula

Kunconywe Kuwe

Iivalvu zoKhuseleko kwizicelo zeHydrogen

Yintoni ivalve yoncedo lokhuseleko?

Imigaqo neenkcazo

Partner

Eli nqaku linika ezinye izikhokelo ukuqikelela ixabiso k kuba iigesi yokwenene kunye
ibalaselisa impazamo ngokuqwalasela u-k olingana nomlinganiselo wobushushu obuthile beCp/Cv

q'= izinga lokuqukuqela elibalwa nge k = Cp/Cv (20 °C, 1 atm)
q = ireyithi yokuhamba ibalwe nge k = (Cp/Cv) • (Z/Zp)

IsiHlomelo A kunye no-B
ukuvela kweefomula