19-) Turbinas a gás 1

Sistemas Térmicos

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UFBA

0

Leonardo Vaz

13/07/2020

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Sistemas Térmicos

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Exercício 1
		m	5	kg/s		m	5	kg/s
		cp	1	kJ/kgK		cp	1	kJ/kgK
		rp	18			rp	18
		T1	298	K		ηT,c ise	0.85
		P1	101.325	kPa		T1	298	K
						P1	101.325	kPa
		T2ise = T1(p2/p1)^((k-1)/k)	680.5586389452	K
		p2=p1.rp	1823.85	kPa		T2ise = T1(p2/p1)^((k-1)/k)	680.5586389452	K
						p2=p1.rp	1823.85	kPa
		T3 (dado)	1400	K		T2 = (T2ise-T1)/ηc ise + T1	748.0689869944	K
		p3 = p2	1823.85	kPa
						T3 (dado)	1400	K
		T4ise = T3(p4/p3)^((k-1)/k)	613.0257939957	K		p3 = p2	1823.85	kPa
		p4 = p1	101.325	kPa
						T4ise = T3(p4/p3)^((k-1)/k)	613.0257939957	K
		Wt = m.cp.(T3-T4s) 	3934.8710300217	kW		p4 = p1	101.325	kPa
		Wc=m. cp.(T2s-T1)	1912.7931947261	kW		T4 = T3 - ηc ise(T3-T4ise)	731.0719248963	K
		bwr	49%
		Qh = m.cp.(T3-T2s)	3597.2068052739	kW		Wt = m.cp.(T3-T4) 	3344.6403755184	kW
		Wliq = Wt-Wc	2022.0778352956	kW		Wc=m. cp.(T2-T1)	2250.3449349718	kW
		η = (Wt-Wc)/Qh	56%			bwr	67%
		η = 1-1/(rp^((k-1)/k))	56%			Qh = m.cp.(T3-T2)	3259.6550650282	kW
						Wliq = Wt-Wc	1094.2954405466	kW
						η = (Wt-Wc)/Qh	34%
Exercício 2
		k	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4	1.4
		(k-1)/k	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286	0.286
		T1 (K)	300	300	300	300	300	300	300	300	300	300	300	300	300	300	300	300	300	300
		P1 (kPa)	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100
		ηise	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%
		rp	10	14	18	22	26	30	34	38	42	46	50	54	58	62	66	70	74	78
		T2 (K)	628	697	753	801	842	880	914	945	974	1001	1026	1050	1073	1095	1115	1135	1154	1173
		P2 (kPa)	1000	1400	1800	2200	2600	3000	3400	3800	4200	4600	5000	5400	5800	6200	6600	7000	7400	7800
		q (kJ/kg)	872	803	747	699	658	620	586	555	526	499	474	450	427	405	385	365	346	327
		cp (kJ/kg.K)	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
		T3 (K)	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500	1500
		P3 (kPa)	1000	1400	1800	2200	2600	3000	3400	3800	4200	4600	5000	5400	5800	6200	6600	7000	7400	7800
		ηise	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%	85%
		T4 (K)	885	825	783	752	728	707	691	676	663	652	642	633	625	617	610	604	598	592
		P4 (kPa)	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100	100
		w (kJ/kg)	286	278	264	247	230	213	196	179	163	147	132	117	102	88	74	61	48	35
		ηise = 85%	0.33	0.35	0.35	0.35	0.35	0.34	0.33	0.32	0.31	0.29	0.28	0.26	0.24	0.22	0.19	0.17	0.14	0.11
		ηise =100%	0.48	0.53	0.56	0.59	0.61	0.62	0.63	0.65	0.66	0.67	0.67	0.68	0.69	0.69	0.70	0.70	0.71	0.71
rp (etas = 75%)	10	14	18	22	26	30	34	38	42	46	50	54	58	62	66	70	74	78	0.32831826736134051	0.34618720222804017	0.35294603222245263	0.35342166927201824	0.34975636663012577	0.34304789434179772	0.33390666864171131	0.32268504146687382	0.30958453226119842	0.29471063594609126	0.27810256098602032	0.25974988364556029	0.23960181814	796647	0.21757197715670434	0.19354012073027574	0.1673516676079701	0.13881532652730763	0.10769893658041224	rp (etas = 100%)	10	14	18	22	26	30	34	38	42	46	50	54	58	62	66	70	74	78	0.48205253207687881	0.52952684593273014	0.56212443286023728	0.58652366068429918	0.6057952068479151	0.62158760290984105	0.63488086392888321	0.64630146734959393	0.65627233450711919	0.66509137375977523	0.67297571954770796	0.68008813007043245	0.6865534959446733	0.6924	6957479375393	0.69791420483642119	0.70295029088971994	0.7076293357998753	0.71199399560873555	
Exercício 3
		k	1.4
		(k-1)/k	0.286
		T1 (K)	300
		P1 (kPa)	100
		ηise	100%
		rp	16.718508704
		T2 (K)	671
		P2 (kPa)	1671.8508703995	P2 = P1.(T3/T1)^(k/(2.(k-1)))	1671.8507624411
		q (kJ/kg)	829
		cp (kJ/kg.K)	1
		T3 (K)	1500
		P3 (kPa)	1671.8508703995
		ηise	100%
		T4 (K)	671
		P4 (kPa)	100
		w (kJ/kg)	458
		ηise = 85%	0.55
		ηise =100%	0.55
Exercício 4
		k	1.4
		(k-1)/k	0.286
		T1 (K)	300
		P1 (kPa)	100
		ηise	85%
		rp	9.45
		T2 (K)	618
		P2 (kPa)	945	P2 = P1.(ηiseT.ηiseC.T3/T1)^(k/(2.(k-1)))	946.5940004998
		q (kJ/kg)	882
		cp (kJ/kg.K)	1
		T3 (K)	1500
		P3 (kPa)	945
		ηise	85%
		T4 (K)	896
		P4 (kPa)	100
		w (kJ/kg)	286
		ηise = 85%	0.32
		ηise =100%	0.47
Exercício 5
		k	1.4
		(k-1)/k	0.286
		T1 (K)	300
		P1 (kPa)	100
		ηise	85%
		rp	20.3
		T2 (K)	781
		P2 (kPa)	2030
		q (kJ/kg)	719
		cp (kJ/kg.K)	1
		T3 (K)	1500
		P3 (kPa)	2030
		ηise	85%
		T4 (K)	764
		P4 (kPa)	100
		w (kJ/kg)	254
		ηise = 85%	0.35
		ηise =100%	0.58