8/18/2019 HS Formule ZaHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdf Ispit V1

1/5

Formule za ispit iz kolegija HS

I Kolokvij

8/18/2019 HS Formule ZaHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdf Ispit V1

2/5

JEDINIČ NI RAD TURBO_STROJEVI - OSNOVNE JEDNADŽBE

vd

v AQ ⋅=⋅=4

2π

H gY ⋅=

zgv p

e ⋅++=2

2

ρ

η ρ

η H gQY m

P ⋅⋅⋅

=⋅

=

*

gubhh H Σ+= 0

gv

k d l

hhh iii

ilok duž gub 2

)(2

Σ+=+= λ

uwv += gubeeeY −−= 21m − radni strojevi (crpke)

+ gonjeni strojevi (turbine)

222

22

21

22

21

22

21 uuwwvvY

−+−−−=m

( ) ( )222111 coscos α α ⋅⋅−⋅⋅= vuvuY m uu vuvuY 2211 ⋅−⋅=m

)( 2211 uu v Rv RY ⋅−⋅⋅=m

)( 1122 uu v Rv RQT ⋅−⋅⋅⋅= ρ ppm AvQ ⋅=

t uu H QgvuvuQT P ⋅⋅⋅=⋅−⋅⋅⋅=⋅= ρ ρ )( 1122

)(1 1122 uut vuvug H ⋅−⋅⋅=

uu

n

t

nh vuvu

H g H H

1122 ⋅−⋅⋅==η

LV QQ

Q+

=η

EM

trenja EM m P

PP −=η

mvh η η η η ⋅⋅=

8/18/2019 HS Formule ZaHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdf Ispit V1

3/5

TEORIJA SLIČ NOSTI I MODELSKA ISPITIVANJA BEZDIMENZIJSKE ZNAČAJKE TS

m

id d

d =λ

d nm

i

m

i

uu

vv

λ λ ⋅==

3d n

m

i

QQ

λ λ ⋅=

3*

*

d n

m

i

m

mλ λ λ ρ ⋅⋅=

22d n

m

i

p p

λ λ λ ρ ⋅⋅=

42d n

m

i

F F

λ λ λ ρ ⋅⋅=

52d n

m

i

M M

λ λ λ ρ ⋅⋅=

53d n

m

i

PP

λ λ λ ρ ⋅⋅=

22d n

m

i

Y Y

λ λ ⋅=

g

d n

m

i

H H

λ λ λ 22 ⋅=

uvm=ϕ

324

d nQ⋅⋅

⋅=π

ϕ

2

2uY =

2222

d n H g⋅⋅

⋅⋅=π

5348

d nP⋅⋅⋅

⋅= ρ π

λ

( ) 4/322

Y

Qn⋅

⋅⋅⋅= π σ

4/3 H

Qnn q

⋅= ( se uvrštava u min-1)n

σ ⋅= 8.157qn

4 22

2 QY

d ⋅⋅⋅= π δ

Q H d d q

4

⋅=

qd ⋅= 865.1δ

8/18/2019 HS Formule ZaHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdf Ispit V1

4/5

II Kolokvij

8/18/2019 HS Formule ZaHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdfHS_Formule_za_ispit_V1.pdf Ispit V1

5/5

CRPKE

z A Ag

Q H H H st

vak man Δ+

⎟⎟

⎠ ⎞

⎜⎜

⎝ ⎛ −

⋅++=

2211

2

( ) ( ) Y gvv p p p H g p d gd ggub ⋅=−+−+Δ=⋅⋅=Δ 222 ρ

ρ

st gubgeo h H H ,+= 2Qk hgub ⋅=

)2

12

1( 21 j N

21i

M

j j

ii

ii Ag

k Agd

lk

⋅⋅⋅Σ+

⋅⋅⋅Σ=

==λ .

g p p

h H H DV GV st gubgeo⋅

−++= ρ ,

gvv

g p p

h H H DV GV DV GV st gubgeo⋅

−+⋅

−++=2

22

, ρ

XX spoj dviju crpki21 QQQ s +=

21 H H H s ==

XX spoj dviju crpki

21 QQQ s ==

21 H H H s +=

H h Dg p p H A

ispsgeo

⋅−−−⋅

−= − σ ρ 1

10, 2

H h D

g

p p H A

ispatmmakssgeo

⋅−−−⋅

−= − σ

ρ 11

, 2

H h D

H g

p p NPSH Asgeo

ispatm⋅−−−−

⋅

−= − σ

ρ 11

, 2

( )uuk vuvug H 11221 ⋅−⋅⋅=