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Calculul termic al motorului cu aprindere prin comprimare

Puterea nominala Pn= 30 kW 40.8 CP

Turatia nominal nn= 3800 rot/min

Numarul de cilindri i= 3

Parametrii initiali

T0= 293 K temperatura initialap0= 1.02 10! N/m2 pre"iunea initiala

p"= 1.# 10! N/m2 pre"iunea de "upraalimentare

n"= 1.$ e%ponent politropic tur&o"u'lanta

T"= 3!2.#$!89!!2 K temperatura aerului la ie"irea din "u'la

T"=To(p"/p")((n"*1)/n")

deltaTi= 40 K racirea aerului in intercooler

Tac= 312.#$!89!!2 K temperatura aerului la intrarea in cilin

Tac=T"*deltaTi

Tr= 8!0 temperatura +a,elor re,iduale

pr= 1.1 10! pre"iunea +a,elor re,iduale

lam&da= 1.$! -12!...22! coe'icientul de e%ce" de aer

ep"ilon= 1$ -14....23 raportul de comprimare

Parametrii proce"ului de "cim&are a +a,elor

e adopta

pa= 1.! 10! pre"iunea la "'ar"itul admi"iei

deltaT= 20 preincal,irea ame"tecului

nup= 1.1 -10!...12 coe'icient de po"tumplere

e determina prin calcule

Coe'icientul +a,elor re,iduale

ammar= (TacdeltaT)pr/Tr(ep"ilon5pa5nup*pr)= 0.01#

Temperatura la "'ar"itul admi"iei

Ta=(TacdeltaT+ammarTr)/(1ammar)= 340.810 K

Coe'icientul de umplere

6ta7=((paTac/p"Ta)5(ep"ilon/(ep"ilon*1))5(nup/(1ammar))= 0.99

Parametrii proce"ului de comprimare

e adopta n1= 1.39 -13#...14 coe'icient politropic de comprimare

e determina

Pre"iunea la "'ar"itul comprimarii

pc=pa5ep"ilonn1= $#.98$ 10! N/m2

Temperatura la "'ar"itul comprimarii

Tc=Ta5ep"ilon(n1*1)= 1028.934 K

Parametrii proce"ului de ardere

K -$00*900

N/m2-10!..12!

N/m2

K -10...2!

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e adopta c= 0.8!$ k+ compo,itia motorinei

= 0.133 k+ compo,itia motorinei

o= 0.01 k+ compo,itia motorinei

i= 418#8 k/k+

kcal/k+

k"i= 0.8 :0$!..09; coe' de utili,are a caldurii

pi= 1.8 :13..2!; coe' de cre"tere a pre"iunii

?Am5pi)5Tc=(Cm>BA)5mu'5T,

*24.288 10*4 T,2 *34.8## T, 92308.9#4 =0

D6T= am a am a * ,=

K -1800...2400

N/m2

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Temperatura la "'ar"itul de"tinderii

T&=T,/delta(n2*1)= 13#1.830 K -900..1200

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Parametrii principali ai motorului

e adopta coe' de rotunEire a dia+ramei mur= 0.9! -094..098randamentul mecanic etam= 0.8!

Pre"iunea medie a ciclului teoretic "e o&tine din

pi?=pc/(ep"ilon*1)5-pi(ro*1)pi5ro/(n2*1)5(1*1/(delta(n2*1))*1/(n1*1)(1*1/delta(n1*1));=

pi?= 1#.991 N/m2

Pre"iunea medie indicata

pi=mur5pi?= 1#.142 510! N/m2

Aandamentul indicat al motorului

etaF=A5pi515To/(po5eta>5i)=83145pi5lam&daminTo/poeta>i=

etaF= 0.808 -029...04!

Pre"iunea medie e'ecti>a

pe=etm5pF 13.$21 N/m2

Aandamentul e'ecti>

6tae=etam5etaF= 0.#8$ -02!...04

Con"umul "peci'ic e'ecti> de com&u"ti&il

+e=3#000/etae5i= 0.12! -2$0...340 k+/kW 12!.191 +/kW

Dimensiunile fundamentale ale motorului

e adopta GF=/D= 1.1 -09#...13

Capacitatea cilindrica nece"ara

7=120000pn/pe5n5i= 0.230 litri

e determina ale,aEul "i cur"a

D=(47/pi5GF)(1/3)= 0.#43 dm #4.34! mm

0.0#4 m

=GF5D= 0.$08 dm $0.$$9 mm

0.0$1 m7ite,a medie a pi"tonului

Wm=n/30= 8.9#!

Cilindreea totala

7t=i57= 0.#90 litri

Puterea litrica

Pl=Pn/7t= 43.449 kW/l -13....19

Dia+rama indicata

7olumul la "'ar"itul admi"iei

7a=75ep"ilon/(ep"ilon*1)= 0.24! dm3

510!-$!...1!

m/" -10..12

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7olumul la "'ar"itul compre"iei

7c=7a/ep"ilon= 0.014

p%=pa(7a/7%)n1

p%=p,(7,/7%)n2

e adopta

3! oAan" la D6 al'a"= 40 oAelei "i lun+im al'ae>= am&da&= 1/3# 0.2$8

H"=/2-(1*co"(al'a"))lam&da"/4(1*co"(2al'a"))= 8.01$ mm

pcB=-11!...12!pc=12pc= 92.384 510! N/m2

He>=/2-(1*co"(al'ae>))lam&da"/4(1*co"(2al'ae>))= 10.310 mm

pa?=1/2(pap&)= 3.8#3 510! N/m2

7c?=PF()5D25H"/4= 0.041 dm3

7&?=7a*PF()5D25He>/4= 0.192

7,=ro7c= 0.018

7&=rodelta7c= 0.24!

Caracteristica externa

Puterea e'ecti>a

Pe%=Pn:an%/np&(n%/np)2*(n%/np)3;=

Con"umul "peci'ic

+e%=+ep:c*dn%/npk(n%/np)2;=

Con"umul orar

c%=Pe%5+e%510(*3)=

omentul motor

e%=351045Pe%/(pi5n)=

Con"tante

otor a & c d k

i,ata 0.# 1.4 1.3! 1.3! 1

camera de >arteE 0.$ 1.3 1.2 1.2 1

un+i de a>an" la aprindere -20...40oA

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n :r/min; Pe :kW; +e :+/kW; e :k+/; e :Nm;

1000 8.##9 1!1.#!1 1.31! 144.489

1200 10.#$8 14!.2!3 1.!!1 148.30!

1400 12.$1$ 139.!48 1.$$! 1!1.392

1#00 14.$#0 134.!3$ 1.98# 1!3.$!1

1800 1#.$81 130.220 2.18! 1!!.380

2000 18.$!4 12#.!9# 2.3$4 1!#.280

2200 20.#!2 123.##! 2.!!4 1!#.4!1

2400 22.449 121.428 2.$2# 1!!.8942#00 24.119 119.88! 2.891 1!4.#0$

2800 2!.#3! 119.03# 3.0!2 1!2.!91

3000 2#.9$2 118.880 3.20# 149.84$

3200 28.104 119.41$ 3.3!# 14#.3$3

3400 29.003 120.#48 3.499 142.1$1

3#00 29.#44 122.!$3 3.#34 13$.239

3800 30.000 12!.191 3.$!# 131.!$9

4100 0.000 #00.000 1.12$ 0.000

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nta

ru

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Cinematica mecani"mului &iela*mani>ela

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0 0.2429! 21.3812# 0.#9!2$ 13.8899! 2023.#8014

!0 0.2#408 2$.#2!9! 0.89833 14.490$! $24.2098#

"0 0.2$$09 34.01134 1.10!9$ 14.!3$82 *489.##$0!

#0 0.28148 40.30491 1.310#2 14.082$9 *1!!#.#$$03

100 0.2$$09 4#.3020! 1.!0!#3 13.1998$ *243!.928$9

110 0.2#408 !1.83392 1.#8!!1 11.9$#24 *3109.1$$43

120 0.2429! !#.$$094 1.84#0! 10.!021# *3!80.3!$1$

130 0.21443 #1.02210 1.98429 8.8#182 *38$2.!1988

140 0.1$9!1 #4.!30#0 2.09838 $.12#02 *4022.#2$!1

150 0.13934 #$.2##84 2.18$3! !.34$!0 *40$4.9001#

10 0.09!1! #9.2200$ 2.2!08$ 3.!!934 *40$3.!88$2

1!0 0.0482! $0.38992 2.28891 1.$$#48 *40!#.1014$

1"0 0.00000 $0.$$93! 2.301!$ 0.00000 *404$.3#028

1#0 *0.0482! $0.38992 2.28891 *1.$$#48 *40!#.1014$

200 *0.09!1! #9.2200$ 2.2!08$ *3.!!934 *40$3.!88$2

210 *0.13934 #$.2##84 2.18$3! *!.34$!0 *40$4.9001#

220 *0.1$9!1 #4.!30#0 2.09838 *$.12#02 *4022.#2$!1

230 *0.21443 #1.02210 1.98429 *8.8#182 *38$2.!1988240 *0.2429! !#.$$094 1.84#0! *10.!021# *3!80.3!$1$

250 *0.2#408 !1.83392 1.#8!!1 *11.9$#24 *3109.1$$43

20 *0.2$$09 4#.3020! 1.!0!#3 *13.1998$ *243!.928$9

2!0 *0.28148 40.30491 1.310#2 *14.082$9 *1!!#.#$$03

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2#0 *0.2#408 2$.#2!9! 0.89833 *14.490$! $24.2098#

300 *0.2429! 21.3812# 0.#9!2$ *13.8899! 2023.#8014

310 *0.21443 1!.!2#01 0.!048$ *12.$142$ 3331.891#2

320 *0.1$9!1 10.3104$ 0.33!2$ *10.9$84$ 4!#3.2!!$$

330 *0.13934 !.9$013 0.19413 *8.$3!29 !#31.!$$19

340 *0.09!1! 2.$0923 0.08810 *#.0$38# #4!8.!!#30

350 *0.0482! 0.#8!8# 0.02230 *3.11442 #981.#9$3130 0.00000 0.00000 0.00000 0.00000 $1#0.$1434

3!0 0.0482! 0.#8!8# 0.02230 3.11442 #981.#9$31

3"0 0.09!1! 2.$0923 0.08810 #.0$38# #4!8.!!#30

3#0 0.13934 !.9$013 0.19413 8.$3!29 !#31.!$$19

400 0.1$9!1 10.3104$ 0.33!2$ 10.9$84$ 4!#3.2!!$$

410 0.21443 1!.!2#01 0.!048$ 12.$142$ 3331.891#2

420 0.2429! 21.3812# 0.#9!2$ 13.8899! 2023.#8014

430 0.2#408 2$.#2!9! 0.89833 14.490$! $24.2098#

440 0.2$$09 34.01134 1.10!9$ 14.!3$82 *489.##$0!

450 0.28148 40.30491 1.310#2 14.082$9 *1!!#.#$$03

40 0.2$$09 4#.3020! 1.!0!#3 13.1998$ *243!.928$9

4!0 0.2#408 !1.83392 1.#8!!1 11.9$#24 *3109.1$$43

4"0 0.2429! !#.$$094 1.84#0! 10.!021# *3!80.3!$1$

4#0 0.21443 #1.02210 1.98429 8.8#182 *38$2.!1988

500 0.1$9!1 #4.!30#0 2.09838 $.12#02 *4022.#2$!1

510 0.13934 #$.2##84 2.18$3! !.34$!0 *40$4.9001#

520 0.09!1! #9.2200$ 2.2!08$ 3.!!934 *40$3.!88$2

530 0.0482! $0.38992 2.28891 1.$$#48 *40!#.1014$

540 0.00000 $0.$$93! 2.301!$ 0.00000 *404$.3#028

550 *0.0482! $0.38992 2.28891 *1.$$#48 *40!#.1014$

50 *0.09!1! #9.2200$ 2.2!08$ *3.!!934 *40$3.!88$2

5!0 *0.13934 #$.2##84 2.18$3! *!.34$!0 *40$4.9001#

5"0 *0.1$9!1 #4.!30#0 2.09838 *$.12#02 *4022.#2$!15#0 *0.21443 #1.02210 1.98429 *8.8#182 *38$2.!1988

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00 *0.2429! !#.$$094 1.84#0! *10.!021# *3!80.3!$1$

10 *0.2#408 !1.83392 1.#8!!1 *11.9$#24 *3109.1$$43

20 *0.2$$09 4#.3020! 1.!0!#3 *13.1998$ *243!.928$9

30 *0.28148 40.30491 1.310#2 *14.082$9 *1!!#.#$$03

40 *0.2$$09 34.01134 1.10!9$ *14.!3$82 *489.##$0!

50 *0.2#408 2$.#2!9! 0.89833 *14.490$! $24.2098#

0 *0.2429! 21.3812# 0.#9!2$ *13.8899! 2023.#8014

!0 *0.21443 1!.!2#01 0.!048$ *12.$142$ 3331.891#2

"0 *0.1$9!1 10.3104$ 0.33!2$ *10.9$84$ 4!#3.2!!$$

#0 *0.13934 !.9$013 0.19413 *8.$3!29 !#31.!$$19

!00 *0.09!1! 2.$0923 0.08810 *#.0$38# #4!8.!!#30

!10 *0.0482! 0.#8!8# 0.02230 *3.11442 #981.#9$31

!20 0.00000 0.00000 0.00000 0.00000 $1#0.$1434

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cotit

ea &ielei

ima

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D= 0.0#43 m p0= 102000 N/m2 lam&da= 0.2$8

= 0.0$08 m pa= 1!0000 N/m2 n1= 1.390

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120 0.0!#8 0.1990 1 !0000.000 10.!022 *3!80.3!$2 1!#.0842 38$1.111! 402$.19!$ 0.2429 998

130 0.0#10 0.2128 1!0000.000 8.8#18 *38$2.!199 1!#.0842 418$.0002 4343.0844 0.2144 94#

140 0.0#4! 0.2242 1!0000.000 $.12#0 *4022.#2$! 1!#.0842 4349.29$8 4!0!.3820 0.1$9! 818

150 0.0#$3 0.2331 1!0000.000 !.34$! *40$4.9002 1!#.0842 440!.81!! 4!#1.899# 0.1393 #40

10 0.0#92 0.239! 1!0000.000 3.!!93 *40$3.!88$ 1!#.0842 4404.39$! 4!#0.481$ 0.09!1 43!

1!0 0.0$04 0.2433 1!0000.000 1.$$#! *40!#.101! 1!#.0842 438!.4902 4!41.!$44 0.0483 219

1"0 0.0$08 0.244! 1!0000.000 0.0000 *404$.3#03 1!#.0842 43$#.0391 4!32.1233 0.0000 0

1#0 0.0$04 0.2433 1!108#.430 *1.$$#! *40!#.101! 1!9.#1$0 438!.4902 4!4!.10$2 *0.0483 *219

200 0.0#92 0.239! 1!4432.$93 *3.!!93 *40$3.!88$ 1$0.498! 4404.39$! 4!$4.89#1 *0.09!1 *43$

210 0.0#$3 0.2331 1#0312.194 *!.34$! *40$4.9002 189.#1#9 440!.81!! 4!9!.4324 *0.1393 *#4!

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240 0.0!#8 0.1990 199$#8.4$3 *10.!022 *3!80.3!$2 31$.9190 38$1.111! 4189.030! *0.2429 *1038

250 0.0!18 0.1829 224!4#.!93 *11.9$#2 *3109.1$$4 398.4914 33#1.##81 3$#0.1!9! *0.2#41 *101$

20 0.04#3 0.1#49 2!9293.093 *13.1999 *243!.9288 !11.4$84 2#33.$4#2 314!.224# *0.2$$1 *89!

2!0 0.0403 0.14!4 308848.014 *14.0828 *1!!#.#$$0 #$2.#189 1#83.0920 23!!.$108 *0.281! *#81

2"0 0.0340 0.12!0 3 81318.10$ *14.!3$8 *489.##$1 908.2$38 !29.4320 143$.$0!8 *0.2$$1 *409

2#0 0.02$# 0.1042 4 908#$.19# *14.4908 $24.2099 12#4.!00! *$83.021# 481.4$88 *0.2#41 *130

300 0.0214 0.0839 ##3423.!99 *13.8900 2023.#801 182!.#114 *2188.019# *3#2.4081 *0.2429 90

310 0.01!! 0.0#49 948$38.!$3 *12.$143 3331.891# 2$!3.38!! *3#02.4#8! *849.0830 *0.2144 18!

320 0.0103 0.04$9 144!$24.934 *10.9$8! 4!#3.2!!8 43#9.4#29 *4933.829! *!#4.3### *0.1$9! 102

330 0.00#0 0.0338 234822$.834 *8.$3!3 !#31.!$$2 $304.1803 *#088.90$4 121!.2$29 *0.1393 *1$0

340 0.002$ 0.0232 39#2919.2#! *#.0$39 #4!8.!!#3 12!!4.$!9# *#983.0440 !!$1.$1!# *0.09!1 *!32

350 0.000$ 0.01## #30092!.012 *3.1144 #981.#9$3 201!$.3$91 *$!48.##84 12#08.$10$ *0.0483 *#0930 0.0000 0.0144 $#98##2.122 0.0000 $1#0.$143 24$02.4$#3 *$$42.2230 1#9#0.2!32 0.0000 0

3!0 0.000$ 0.01## 138!$!91.819 3.1144 #981.#9$3 44$29.8004 *$!48.##84 3$181.1320 0.0483 1298

3"0 0.002$ 0.0232 10!123$2.984 #.0$39 #4!8.!!#3 338!1.9$18 *#983.0440 2#8#8.92$$ 0.09!1 14#4

3#0 0.00#0 0.0338 ##9101$.01! 8.$3!3 !#31.!$$2 2142!.8#23 *#088.90$4 1!33#.9!49 0.1393 12#9

400 0.0103 0.04$9 4401818.001 10.9$8! 4!#3.2!!8 13981.9!03 *4933.829! 9048.120$ 0.1$9! 1092

410 0.01!! 0.0#49 30!9842.234 12.$143 3331.891# 9#18.1$!2 *3#02.4#8! #01!.$0#$ 0.2144 1042

420 0.0214 0.0839 224#8$!.$4# 13.8900 2023.#801 #9$4.#082 *2188.019# 4$8#.!88$ 0.2429 1120

430 0.02$# 0.1042 1$3234$.303 14.4908 $24.2099 !301.4883 *$83.021# 4!18.4##$ 0.2#41 12$8

440 0.0340 0.12!0 139299#.88# 14.!3$8 *489.##$1 4198.0043 !29.4320 4$2$.43#3 0.2$$1 14!8

450 0.0403 0.14!4 11#123#.1!# 14.0828 *1!!#.#$$0 3444.3$!4 1#83.0920 !12$.4#$4 0.281! 1#0!

40 0.04#3 0.1#49 998!01.83# 13.1999 *243!.9288 291!.2034 2#33.$4#2 !!48.949# 0.2$$1 1#$$

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4!0 0.0!18 0.1829 8818$1.$!8 11.9$#2 *3109.1$$4 2!3!.9!11 33#1.##81 !89$.#192 0.2#41 1#!8

4"0 0.0!#8 0.1990 $9$199.4#! 10.!022 *3!80.3!$2 22#0.#1$# 38$1.111! #131.$291 0.2429 1!48

4#0 0.0#10 0.2128 $3!4#9.94! 8.8#18 *38$2.!199 20!9.8884 418$.0002 #24#.888# 0.2144 13#4

500 0.0#4! 0.2242 #90$9!.43! $.12#0 *4022.#2$! 1914.#1$9 4349.29$8 #2#3.91!$ 0.1$9! 10#0

510 0.0#$3 0.2331 ! 433$#.234 !.34$! *40$4.9002 143!.24#9 440!.81!! !841.0#24 0.1393 802

520 0.0#92 0.239! ! 0$1!1.1!1 3.!!93 *40$3.!88$ 131$.4!19 4404.39$! !$21.8494 0.09!1 !22

530 0.0$04 0.2433 4 34$00.98$ 1.$$#! *40!#.101! 1081.8#18 438!.4902 !4#$.3!19 0.0483 2!2

540 0.0$08 0.244! 3#22!0.822 0.0000 *404$.3#03 84#.2$1# 43$#.0391 !222.3108 0.0000 0

550 0.0$04 0.2433 32#02!.$40 *1.$$#! *40!#.101! $28.4$## 438!.4902 !113.9##8 *0.0483 *242

50 0.0#92 0.239! 289800.#!8 *3.!!93 *40$3.!88$ #10.#81! 4404.39$! !01!.0$91 *0.09!1 *4#8

5!0 0.0#$3 0.2331 2!3!$!.!$# *!.34$! *40$4.9002 492.88#! 440!.81!! 4898.$019 *0.1393 *##3

5"0 0.0#4! 0.2242 21$3!0.493 *$.12#0 *4022.#2$! 3$!.0914 4349.29$8 4$24.3893 *0.1$9! *80#

5#0 0.0#10 0.2128 18112!.411 *8.8#18 *38$2.!199 2!$.29#4 418$.0002 4444.29## *0.2144 *849

00 0.0!#8 0.1990 110000.000 *10.!022 *3!80.3!$2 2#.0140 38$1.111! 389$.12!# *0.2429 *840

10 0.0!18 0.1829 110000.000 *11.9$#2 *3109.1$$4 2#.0140 33#1.##81 338$.#822 *0.2#41 *$19

20 0.04#3 0.1#49 110000.000 *13.1999 *243!.9288 2#.0140 2#33.$4#2 2#!9.$#02 *0.2$$1 *48#

30 0.0403 0.14!4 110000.000 *14.0828 *1!!#.#$$0 2#.0140 1#83.0920 1$09.10#0 *0.281! *1#1

40 0.0340 0.12!0 110000.000 *14.!3$8 *489.##$1 2#.0140 !29.4320 !!!.44#1 *0.2$$1 21!

50 0.02$# 0.1042 110000.000 *14.4908 $24.2099 2#.0140 *$83.021# *$!$.00$# *0.2#41 !8!

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