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Formuleblad voortgezette thermodynamica $5.37
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Formuleblad voortgezette thermodynamica

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Gebruik van dit formuleblad was toegestaan tijdens het tentamen voortgezette thermodynamica van de minor Engineering of energy systems. Maar kan ook dienen als formuleblad voor het boek: Introduction to Thermal systems engineering.

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2) 2e hoofdwet Heatpump/refrigerator
1) Opfrissen
dampfractie COP Koelcyclus



COP Warmtepomp
Specifiek volume/internal energy/enthalpie

Ideaal gas Mlucht = 28,97 g/mol
powercycle
Carnot efficiency



𝑇𝑐
𝜂𝑐 = 1 −
𝑇ℎ
ln 𝑉2
𝑊 = 𝑚𝑅𝑇 ∗
ln 𝑉1
𝑝2 𝑇2 𝑣1 Energiebalans
= ∗ 𝑝1 𝑉1
𝑝1 𝑇1 𝑣2 𝑚=
𝑅𝑇1

𝑊 = 𝑄 − Δ𝑈 = 𝑄 − 𝑚(𝑢2 − 𝑢1 )



Entropie Entropy balans open systeem
turbine Steady state:
3) Entropie
Entropy verandering ideaal gas
𝑊ሶ = 𝑄ሶ + 𝑚(ℎ
ሶ 1 − ℎ2 )

Entropy verandering ideaal gas op mol basis Entropy balans gesloten systeem =>


Bij de aanname dat cv (constant volume) en cp
(constante druk) constant zijn:
𝑄ℎ𝑜𝑡 𝑄2 𝑄𝑐𝑜𝑙𝑑
ℎ −ℎ1 0= − −
𝜂𝑡𝑢𝑟𝑏 = 2𝑠 ; 𝑇ℎ𝑜𝑡 𝑇2 𝑇𝑐𝑜𝑙𝑑
ℎ2−ℎ1
Isentroop: s2=s1
Lucht: gebruik pr om
enthalpie te bepalen (als p
bekend is) 𝑊𝑡 /𝑚 ℎ2𝑠 − ℎ1
𝜂𝑡𝑢𝑟𝑏 = 𝜂𝑐𝑜𝑚𝑝 =
Entropie Warmtewisselaar: ℎ1 − ℎ2𝑠 𝑊𝑐 /𝑚
ℎ2𝑠 = ℎ𝑓 + 𝑥2𝑠 ∗ ℎ𝑓𝑔 𝑝
𝜎𝑐𝑣 = 𝑚 𝑠2 − 𝑠1 + 𝑚2 𝑠3 − 𝑠4 p𝑟 𝑇2𝑠 = 𝑝𝑟 𝑇1 ∗ ( 2𝑠)
𝑝1
𝑇2
𝜎𝑐𝑣 = 𝑚𝑐𝑝 𝑙𝑛 + 𝑚2 𝑠4 − 𝑠3
𝑇1
Bij aanname :incompresible liquid => ℎ2 − ℎ1 = 𝑐(T2 − T1 )

5) Verbrandingstechniek Stoom bevochtiger
1) Bepaal omega1: recht omlaag in mollier vanaf Tin
273 + 𝑇 𝑚
𝑉𝑇 = ∗𝑉 2) Bepaal omega2 (= abs. luchtv. Exit): 𝜔2 = 𝜔1 + 𝑠𝑡𝑜𝑜𝑚
273 𝑚𝑎𝑖𝑟


H natte bol Hg3 @Tstoom
Ontvochtiger 3) bepaal (ha+whg)
Ma = rode blokken blad 2 4)Vul in in Mollier en lees temperatuur af (=Texit)
Specifieke condensatie: Luchtverwarmer:
𝑝2 𝑉2 − 𝑝1 𝑉1 𝑚1 𝑅(𝑇2 − 𝑇1 ) 𝑚𝑤
𝑊= = = 𝜔1 − 𝜔2 1) 0 = 𝑄𝑐𝑣 + 𝑚𝑎 ℎ𝑎1 + 𝜔1 ℎ𝑔1 + 𝑚𝑎 ൫ℎ𝑎2 +
1−𝑛 1−𝑛 𝑚𝑎
𝜔2 ℎ𝑔2 ൯
𝑝1 ∗ (𝐴𝑉1 ) 1) Bepaal omega1 via
𝑚ሶ = 2) Via mollier: ha1+omegahg1
𝑅𝑇1 0.622*enz Of recht omlaag in mollier
3) recht omhoog vanaf punt 1 aflezen h en phi
2) Bepaal omega2 (pv2 = pg2)
4) Bepalen ma via AV/v; v aflezen volgens
Koelvermogen mollier (evt zonder ma): Of Naar rechts en dan recht omlaag
enthalpielijn
Koelvermogen berekenen (evt zonder ma): 5) Vergelijking invullen

1) Onderstreept + omega = mollier
2) Hw = hf@T2 tabel 2 1) Ha = T9
2) Hg = T2

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