Fluid Mechanics", Fourth Ed., Jhon Wiley &. Sons Inc., 1994. ١٣ . " . ",. ) ( . 14. Spiegel, M.R. "Mathematical Handbook of. Formulas and Tables", Schaum's Outline ...
!"# $%# $ 0
+
$,)- . /
$ %&' ()*
!"
#
&' ()
#
$
!
S
MB * S
+ : ' +,
T"
of
,1 F T" P= " 3 : /
SI
D
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
Pt T
1 @^ " 3 $3 de B %f g h
(rad )
!
,
-$
,
A
/
>1 l
9 : 8
]
ive
- ,EF #HC ZH
Ac
=$ 3 \
Cp
^ :"> 9 1 = _ R
hi
! HC5 9 1 = _ R
hc
]
^ :
9 1= _ R
! FB5 # _ R ( + ,> +) 1 = 5 + R ` ! 9 1=;
]
]
^ :"> 9 1 = 9 1 = HC5 1
^ :
+
!
+
9 1=
- FB5 1
+
!
+
,EF + % >"> a 1 =
+
$
+
2 /2
+
hd he k m m& i
m& c m& d m& e m& h m& l m& o
,EF + % >"> K 1= + m& 0 . " b N , % + $A H+ " " , 5 n ( + ,> +) ] ^ : 9 1 = $+ " " d 19 = g # . ZH. .5 I.J- % >"> 1 ] , O )5" h ,1 F @
of
. PN5 : ./ . .+ # $ ! " 5 &" ./2 . > $ . , " .G " 3 $*5 % + %" 3 % ()* + ;1i " 3 > + + R ] C " ( + 2 . jJ& > .&I.J- % + %" 2 4 ! 85 > 6 7 ,. -, 1 5: / .$ 1 ,1 F 1 ; k* . . % .& +" 2 .LJ 1 . .! + . ] 3 " 5 " 2 >. . *5 " . R 1 ) . . + , . 5 . : . / % .& .! ] . 2 : ./ " k 5 . % .&;E k . l > .k k %f . #.B %1 ] 3 !$ & > , . - ,1 .F ; . " . 3 . % +. J "! _J- .+" 5 . PN5 % .&: / " 1 = m % &] /_2 .! . - , k 7 " ,EF " 3 2 $ ;1i LJ 1 : / %" 2 % &% 1 85 + >eA 5 ! 4 ! ,EF 1 ; k* > &IJ- % >"> " 3 @G 7 . + " . 3 . ! :& 3 , - LF5 % + E g ./& L A ! K ! > , - # , O )5" . jJ& . ./& " P.= D85 I.J- .+ % >"> " 3 + 2 1=; " 3 % + > ! K ! D85 $*5 i .+ ,EF + 1 = >"> F , 11 9 :/ " . 9&>[" E Oh . ! #HG ! O . > .2 $. .2m .+ ;1i .$. . 3 = " G " + " . > 6 7 ()* @ + , - PN5 : /
#HC ZH $+ D " 3 " [ >
*
$+ D /
2345 67&/
D
]
t1 V
SI
]
1 = #HG , 1 ^ : " 3
Pp
, ,
- " F+ " 3
Ps
ZH %>" " 3 P1
-#
IJ- + % >"> " 3 P2 ,R 4 * > 9 1 = + M" 7 ] C Q ,
-#
>9 1=
+ M" 7 ] C 1 = $+ D 1=%
,EF + % >"> K ,
1=% -#
Ql R T T0
% Tl , 1 t
www.SID.ir
0
m %i + " 3 %
"E
/2 ,EF
% &1 = > +" 5
/_2 k! " 3 !
+" 5 1>E=
.( !
& I J )>
>% @ = 2A) 7 > ?
8 ;
% &@k! " g 5 5 + 1 =
m % &] /_^ .$
!
Ar
ch
ive
of
) . " . 3 @. A 1 .= , A + & 1 9&>[" ( ./_2 : / ) q 1 = m:/ >$ ! .3 =" G " + " _J- +" 5 , - PN5 J& + 9& 2 > ! m % & : .! 1 w.3% &. ! m > (" .5i =") " . 3 . & 2 .! 1 " BA 1 + 9 > .! , - ,1 F " > 1>E= " 5" 7 ] B ,R " 5i =" ) \> . + 9& 2 , 1 $!P= + ,R " 3 . $.+ D " . 1 . > " 3 kJ 7 5 2 $ % . + %" .2 4 .! .+ . 5 .+ $.+ D " 3 . " . ! B * / % 3 > &IJ;1i .&] /_2 " ! m % & ; 9& 2 % + ; .= , .k .7 5 " 5i =" 1 x> 1 w- " & 5 $ #G > " . ! ; < 1>E= 5" 7 ] B " " 2 .: 2 .5" 7 ] B 9C y 1 % &1 = LF5 + >eA 1>E= 1 . > % & 2 M" +. 2 ) E " . " 1 .= 6 . 7 Mi * % = KP + " 5i =" . ! 5; = ( +" 5 1 > ) %i + % z3 " 9 1 = 2 $ Z h 5 + ;1i * 2 ./2 > $ " .G , . - ,1 .F @. " + $ . . ! )= Q + ,R + 2 = .! . IJ- 6 7 ()* + ,1 F 1 /2 >
D
1=
,EF
SI
1
$
:1 5" BA 2 > " 3 $*5 PN5 : / .n ." IJ- +" 5 PN5 : / .o ( . ^ ./2 > $ . ) , - PN5 : / O ..+ .. 5 ..+ " .. 3 : ../ ..7 1 9 ..- pi ..J . ! K F " 5 @2 + h > % kLJA % &% 1 L. O . . @ .! ,EF " 3 85 % &: / :1 5" BA 2 /& q % &1 = m : / .n > , - FB5 .o .[nUr] 6 7 Mi * 1 ) .r : ./ .! . 5 J! g H + u" % + > " .5 .A J< + ,R v B5" J& + ! 9
9" >
>% @ = 2A) 7
=7> ?
. [E ]
B C?
?
95 # "
8 ;
. + g55 + " 1 .= :. . LF5 . ! 0.. 1 . 2 %1 . = " . C . jJ& .! . 7 ) $ 7 % + ! x" , J …$. Z 1 ,EF " 3 > " + >eA . m& d = 0
of
. dZ dt 0 ^ ^ { 3 , 5 < " dQ dt Tl % + 1 = 4 5 ,EF 9 ; & + # . % . Tl .2 %" . .+ ! + ) + + m& c >
% .&1 = x> . > .()* @ " R 6 7 1 w- 2 .+ .! $2 7 % + ;1i $ 5 %> ]1 1 @ 7 1 &IJ- +" 5 $2 7 % + . R $ . ! ) 1= kJ2 %> " W . " #.. " 9.. : ./ M B.. * + .$ !;< ! % &{ 3 + " + 1 ) . .+ .B C5 " + ,R ; 1= 1 .= | M N5 > $ ! B * ] 1 = H+ " .( " . R " M" .7 ] .C > , - ,1 F @ " :& ,R # " 5 1 = #HG , 1 .$ 3= .! B. * Z *. , . } . > ! {3 + " . O .h , .+ | . > = . j - . B .[~] $ > Mi .C .! •.A + .2 $. L .A .LJ 1 "+ Mi .C p 1 " !;< &>[- % &" 2 :/ 3 + +> !+W " J2 " $. .! . - ,R .L2 % &% 1 > %" P=" 3 .[€U€•]
D
$ $+ D ,EF " 3 U€ > (ƒ H+ "), - # J"> 4 ! + v + i ,R " ^ 1 = 4 5 ,EF 9 ; & + 5i + ,R % > ! + ! $+ " . ( m& c = 0 . M" BA + ! + 1 M" + " (†) ] 3 (n)
Ar
.$ .^ %1 =) a , -# % 1 1 ) . .+ : .5 :: / +
,
ch
P m& l p m& l = m& i = k 1 hi R Ti l l k
ive
.$ , .+ . 2 J N5 ,EF " 1 = g 2 5 M h 3 + 1 : . 5 . . < " .$.. dk dt = 0 . M" . BA :: ">R $ + " 1 ] 3 (€)
m& h =
P m& l RTh l
dQ > dt
1 dQ C p Th dt
.
$. % >"> a 1 .=
(‡)
+hw
(†) H+ " "
.$ ,EF @ " M" 7 ] C $.+ " .^ %1 .=) K . 1 = 1 ) M"
L2 c "
1
@ = ! $ & $"= 9C7 - 8+
.L2 $. 7 " , . - ,E.F . + " 3 M N5 :[€€] R $ + 1 H+ "
dP (k 1)Z dQ & & h = +m h +m e e i i dt V dt
(k 1)Z + 1 P dV + (k 1)Z dt ( k
PV
& h m c c
dk 1) 2 Z dt
(€)
& h m
d d
PV ( k 1) Z2
dZ . dt
m& e ] . 2 :."> 1 = + m& i (€) H+ " " " 9. 1 .= , . - ,1 .F " ) ! FB5 # " C :. ,R 4 * > 1 = + .yE " .2 PdV . .! + . .k E 3 Me B5 > J! m& i hi > (%1 . " .2) 1 .= (v ./B ) :. .+ ] . 2 :."> .+ B. * + 1 M h 3 + 5 + 9F+ " :$ -: & 1=
www.SID.ir
L
.( Ti = Tl )
.+ $. 7 > % .+ m& h = f ( T ) .H+ " 0 @k! "
^m + ;1i .$ ! : " ,R ,> + > M" 7 ] C ". + + M" 7 ] C + $ 7 " ^ .+ " ,R * , 5 > $ ! 3= ( " :[€€] 1 g C5 1 T
*
,
; .5 1 (Œ) .H+ " " .$
= 0.35 .
.2 $. . H+ " > M> )5 ! ( d dQ dt M" 7 ] C
with heat transfer
1
no heat transfer
0.8 0.6
0.2 0 0.6
0.8
1
1.2
ive
0.4
O4AI P)*&" ( m& h ) $C) $ & $"= M & N? 80;< & S :A =
T
"
QR .=
=
$C) . =
.&" J . %> .& " . + 9& 2 1 = + T 9 E3 . 1 .H+ " + : & " G (•) H+ " " " (Œ) H+ " = : ":&
m& h =
&.
Ar
. + .2 .! .
"
ch
.
1 1 + 1+ T 1+ T
*
T
.
. ;> ; .5 2 $3 " , 5 D8.5 , E 2 $ (Œ) ] 3 % 4. > @h )5 k Jh . 2 $.LA .+ 1 .= 1 . " . .+ 9 .+ (‰) > (‡) % .& .H+ " de .
l
1 C pT0
1 dQ C pT0 dt
(‰)
PV dk , 2 (k 1) dt
% >"> K . 1 .= % . T0 > .+ m& 0 .^ %" + 9 E.3 + 2 $3 " , 5 (‡) > („) 4+ >" 1 . ! + .+ $B./ (‡) H+ " " ]> ; 5 ( Th > Ti ) 1 = > % $.. . ! 3 . h ,R . + ;> ; . 5 > 9& . 2 („) . H+ " @ 5 + /+ > ( " ) %" C pi J dQ dt ) 9& .2 . 9 E.3 $. kJ 1 = 1 " + ; 5> •.A + ,EF + >"> 1 @BG 1 = , 2 ; = pi J ) + , .. (‰) > (‡) Mi .. ./ C ( ! + 9& 2 .+ 9 E.3 •.A + 1 ..=" # 1 .3 . > 2 .& ,>" % . $.+ " , E. 9 E.3 + . ! 1 " , . M .! . . @. .$3 & 9 E3 ,EF 13, .$ J& = 5 + 2 $ KR M " F+ " 9. %" .2 . ; . 9& .2 g ($+ ") # % 9 E3 :l" LA @ J& + . ! ,EF @ .kL+ . 3 9& 2 9 1 = 1 " + ,EF ,>" . + 9 E3 wkA + a 1 .= .+ ,E.F 9. ; . & + 2 : 2 { 3 " . . > =]C = Š & ,EF ,>" " . 1 @k! + (‡) H+ " W + ( dQ dt = 0 ) : !
of
0.4
0.2
h + c m& c C pT0
m& l
(•)
1.2
0
P k 1 C pT0
D
*
m& h = 1
k
m& 0 =
!
SI
$ 4. .
.+ . 5 .+ ,1 .F 9. % .+ ( m& c 0 ! + : ! ! 1 M" + (ˆ) H+ " (€)
(~) m& h =
(~) > (Œ) Mi 1 + 7e #G > " (~) `F " = ] C E3 + („) @k! " .$ =]C .2 : 2 { 3 =
P m& l RTh l
.
(‹)
.+ " . 1 ] . 3 , .5 . (‹) > („) 4+ >" 1 m& h =
m& h Ti 1 = = m& i Th 1 + T
$..
) + : ">R $
,
B../ 9 . = " .C
(Œ) T =
Th Ti Ti
,R "
.^
www.SID.ir
T
i
=
P RT
i
)
T (1 + d )
*
& m
(
:$! , 5
)
* T 1+ d
l 1
Tm =
(1
*
1=
. + " %f . .
:[€ƒ] $! : &
R:/ +
(€‰)
. " d = m& c (m& 0 (€€) > (•) Mi
(
* T
m& 0 = 1
+ 1 H+ " 1 2 ! +
(€‹)
% + $A % H+ " " , 5 n ,R " ^ .+ n .L2 $ 7" .$ " J& .+ . . R $ +" J 1 1 " .! . ) . Π% J 1 gLl + F :$! : & $ 7
Ar
" : e. , .A .+ . 5 %" .C , . A . " .[€ƒ]
,
ive
4 n 4 (n + 3 )(2n + 3)
$
ch
=
(n + 1)3 (2n + 1)3
+ " 3 P1 6 3 H+ " " .$ L2 O )5" $3 hLT >
n =7
= 1.06 .
(€Œ)
> m& 0 =
m& c ) >
m& 0 m& i
2 %"
/&
+
>K
) (1 + d ) .
(€ƒ)
+ . 2 T g../7 + m& 0 M . N5 U @k..! "
W.
I.J- .+ % >"> " 3 P2 . B %f g h E
m& h m& i
1 . ! + u + % >"> " 1 = $+ " :: ">R $ + " 1] 3: 5
of
V 2 P2 + 2 2 + gz2 = hLT . 2
..=
" 6 3 H+ " (€€)
1 = B/ % & + m& h =
Z 9C7 - 80
+, 5
m& 0 = m& h (1 + d ) ,
(€‡)
[ \ 9" .=
:[€€] R
(ۥ) : ^ , + 1 M"
+" 1=% + @BG 4+ >" > ]
)
V2 P1 + 1 1 + gz1 2
+
m& 0 = m& h + m& c .
Ti . T (1 + d )
@ . ! " o > n #..HC >
!
(€„) .
l
$. 7 . 1 , 5 " : 2 B * 1 M"
R ! + HC5 1
D
0
SI
(
& =m 1 m
. R d ‚L F
C % + $
!:
5 (€ƒ) H+ " .$
2 1.8 1.6
d=0.8
1.4
d=0.6
1.2
d=0.4
1
d=0.2 d=0
0.8
adiabatic
0.6 0.4 0
0.2
0.4
0.6
0.8
1
. = O4AI P)*&" m& 0 $C) $ & $"= M & N? 8E ;< .d Y AR . 6" W
: !
X = . &"
5 1]
T V " .=
=
$C)
3 0B 1 = + 0LH " C
www.SID.ir
]
+> ! . + &
&x& 1
,EF $
L0
. N I.J- + % >"> " 3 6 3 H+ " W
! 9C7 - 8U g
&Z \
$.
.!
,
a @k! "
5 J! "
+$
2
IJ$
x
.
.! &\ & )
>
>% QR > ?
D
(€‰) .H+ " , z1 z 2 = h >
SI
@. i 1 .k .! " .! C 9F+ " 2 " , J& 1 .= ; " 3 , - ,EF + % >"> 1 = #HG + ! 0 "E5 1 = = 2 + .$ ! m " 1 . " . " . 3 " .5 ! (* 5 #HG D 1 , .5 > $/ 0 "E5 " J + >E 2 85 1 . " . " . 3 1 " .( . .2 #HG (* 1 "1= > I.J- " , . > 2 1> .+ ; .A % + ;1i " 3 @G 7 D8.5 .J& .+ •.7 B . .$. % &$ > * I.J- .+ % >"> " . 3 @G .7 .+ ‚L F #HG % &, 1
h
! ^_`
L2
Q8R 98" .=
P2 = P1 +
g h sin +
V12 2
1
2
: ! V2 2 2
8L ;
.! #.HG t1 D 1 + = > ! ( Pmin ) 1 < 7 •A + < " !1< 71 + :J " 3" C . ! 1= +d .! #.HG t 1 D " ,EF + % >"> 1 = = ] 7 4./B ,EF ,>" % & , - ;> d @ + : 2{ 3 = . + 9& 2 ,R " 3 < " > ! .! 4/B -> E R M" + 1 = #HG , 1 1 w:$! : & R
m& l l A1
$..
, V2 =
m& l . l A2
^
(€~)
A2 1 . 5Ž"E..+ . L
, .5 2 + .! + ! K . jJ& . J " ( 2 /2 " " ,R + v +
+
A1 ..k
.+ . 5 .+
& V2 1 5 } 2 L V1 < " ! ! = ] 7 . 2 ( d ,R 1 3 h (ۥ) H+ " + + " ,R 1 ! ; 5 $ ) , - # M " F+ , E = " 3, 5 ! + 1 ,R %i + % z3
% . .+ .2 $. ] J + >eA .( Ps ) $3 = ( ) . p ,b % .&w . 1 g 5 5 + ƒ > € % &w .+ (€• .H+ ") IJ- % >"> " 3 H+ " < " . ! :[€€] R & " 1 M" Pp = Pb + Ps + gh sin + h &x&
(1.06 )
V p2 2
hL T
.
(ĥ)
> I.J- + % >"> " 3 g 5 5 + Pb , Pp (o•) H+ " " $2 7 $ " ) ! %" * K ! &x& > +" 3 ;1i " . 3 @G .7 .+ 5 + + " 3 .$ ( ! . 5 , . - ,1 F 1 ; k* > IJ- % >"> % +
www.SID.ir
d
V& .
V0
(ƒ‡)
{ .3 $3 = " G •*+ " , 2 5 2 2 % " " #HG (* 1 > $ $+ D (Pb) +" 3 2 + + 0. .+ , .5 . " 8./ … 2 9& 2 + O> ! % .+ : . B+ .2 M" . . + … J " +E % " . 3 M . N5 .! •.)7 I.J- 1 . " . " . 3 k .+ . + " . 3 (ƒ•) H+ " 1 . ! + + } + : ! B * 1 M" = Pp
Ps
gh sin
2
+
h
LT
.
" - J& 6 3 H+ " " + + /& `F 2: " " +" 3 R =" G6 3" J + 5 +. ! & N5 W + "9 & F 1 = , 2 #HG + .$ R
ch
> ; .L $ " $J C > & 1 " M N5 " J , 5 %i .+ . >" " Pb .C .= . •)7 ;1i " 3 @G 7 J& 1 .= + , 5 Oh %1 . > 2 5" 3 . + 9.F+ " g.LH . . .+
)
(ƒ‰)
8Z e 87 &" ! 8 $ & $"= 9C7 - 8L !
=
>AZf "
N5 ! )= @BG 9F+ " : R $ + 1 H+ " 1
2 " , J& +" 3% +
". M
Pb = C
Ar
1.
gh sin
h &x& ,
(ƒ‹) 2 %"
C = Pp
:$
Ps + (1.06 )
V p2 2
+ hLT
B * @+ G 1 M"
+
const. .
+E ]
,
O )5"
m& l t = a bt l Ac
.
(ƒŒ)
V1 V2
k
,
(ƒ€)
+
V1 = V0 + V& t1 . V = V + V& t 2
0
, . 1 > % >"> 1 .= #.HG .+ , . 1 .& t 6 3 H+ " " ! .$ (t1 < t < tc ) " 5 b>" " . ! - b>" > #HG , 1 5% + 1 W 7 " t1 + + $ J& H > + 2 ]> . 1 H+ " 1 w_ . 2 K /7 " ,R + \ P1 4 V1 > B. * t1 % .(* 1 . + % .+ " IJ- + % >"> " 3 : J V0 + V& t1 V0 + V& t
Pp = Pb
k
+ gh sin + h &x&
Pt ,
(ƒƒ)
2 %" Pt = (1.06 )
Vp2
hL T
2
.( " . " .C .+
R$
+
, t > t1
+" C = $ 7
"
" .2 > 1 W 7 " +> " t1 + $! % 1 de .H+ " " . + ( " " C + P2 " 3 5 2 " k5 " M" . .+ 1 .= #.HG .(* 1 2 $ ! { 3 (ƒƒ) .$ ! 4/B -> E R + :LA + $ 8/ @7 0 G b>" 2 ;> b>" " " 3 k ; .L (V2) ,R .+ \ . :. (P2) . 1 M" . .+ @.7 >" . ! B * t1 , 1 $ .$ P1V1k = P2V2k = Specified = const . = C , P (V + V& t ) k = C. 1
h = h0
P2 = P1
of
b
Vp 2
k
2 %"
ive
P
h &x& + (1 . 06
P2 V = 1 P1 V2
D
t1 =
(1 k )
SI
P2V2k P1
0
(ƒ„)
1
: !
B *
1 H+ " 1 t1 , 1
"> 9 1 = 1 " :[€€] !
Pump Inlet Pressure (bar)
6.5 6 Upper Tank 5.5 5 Lower Tank
4.5
m& =
4 0
0.2
0.4
0.6
0.8
1
1.2
V (t ) i (k 1)
K ! 9 E3 D " 2 bar
> .7
2
! P)*
!
.!
]@ !
&
i .+ ,EF
"+ +
+" 3
!
: . . .$. % .(7e @+ G " C 2 + .! + . 0.5 bar > 7 # O .)5" .2 @k.!
1 . ! #HG kJ 9& 2
" +>
5
1
! .
% .+ I.J- + % >"> " 3 M
Pump Inlet Pressure (bar)
1=;
!
" t1=0.5 + + " B/ #HG , 1 ] q
6.5
"
+ % >"> 1 = B
. + 9 E3
@k.! M" .
+ (
. + &
without cut-off time
with cut-off time
4.5 4 0.4
0.6
0.8
1
1.2
+ ! x"
"
" [ \ 9" .=
+
m& t = m& o + m& f .
@k! (ƒ~)
, .5 . 6 .3 H+ " > ! $2 7 , 1 + 5 + . .^ . 5 " " .5 " .2 , 1 , - 5 ! d ; " .5 " .2 , - " 2 % >eA + ; O J< @2 ; & " 39- > ; > &] /_2 " `F. .! . m .&] ./_2 " + 2 "9 1= .H+ " 1 , .5 1 = ; B * % + jJ& . ^ .$3 = ] (ĥ)
h% A 8a
. .$
!
,
U @k! " ,
D85 -
.$ R$ + ! + $+ D +" 3 k { 3 % &IJ- + % >"> " 3 M N5 | ] q % + B../ , .. 1 g../7 ..+ (Pp) .. ^ ../2 > $ .. .$
Relative Time
.(.
$ + 1 M"
: R
.+ .&" J
5
=&' ^_`
+ 2 @2
.+ .+ , . - ,E.F + % >"> 1 = $+ " > ,1 .F @. " M" .7 ] .C D8.5 E. > 1 .=
5.5
0.2
2 /2
k.! " . 3 ! 1
.+ ,R ,> .+ > 1 .= , .! #HG + $ 7
6
0
+ " @k!
,
9& 2 ,EF " 3
+ > +
: . 2 #J :& + > ">R $
•A + " 3 9 E3
ch
$
-#
(ĥ)
. ! + ,EF + % >"> 1 = _ R hi 6 3 H+ " " , . " . + 1 . " . " . 3 @G 7 (ƒ‹) H+ " ,R % + , 5 $+ D " C , ^ 3h + ^ & (ƒ•) .H+ " 1 .= .: . + .( " :.& J g h > $ . ,E..F > 1 . " . 1 .= . .+ " .C .&] ./_2 .
> C3
> 7 " 3 9 E3 q2 7 $ 7
.! @.2 ; .
(*
, J&
.- ,E.F % + . "
. 3 . % .+ .2
,. 1"
2 3e
ive
"
! " 3 9 E3
1 " 3 9 E3 $ :2 ,
0.2 bar
. !+
1
+ t=0 (* "
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12. Fox, R.W. and McDonald, A.T. "Introduction to Fluid Mechanics", Fourth Ed., Jhon Wiley & Sons Inc., 1994.
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6. Jokovski, A.E., Kondrousev, V.S., and Okorochkov, V.V. "Experiments in Rocket Liquid Propellant Engines", Mashinostroenieh, Moscow, 1992. 7. Karimi, H., Nassirharand, A., and Beheshti, M. “Dynamic and Non-linear Simulation of LiquidPropellant Engines”, AIAA J. Propulsion and Power, Vol. 19, No. 5, pp. 938-944, 2003.
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14. Spiegel, M.R. "Mathematical Handbook of Formulas and Tables", Schaum's Outline Series, 1968.
^ & 1. Anon, "Pressurization System for Liquid Rockets", NASA Space Vehicle Design Criteria (Chemical Propulsion), 1975. 2. Beliyaef, N.M. "Pressurization System Design in a Liquid Rocket", Mashinostroenieh, Moscow, 1976. 3. Beliyaef, N.M. "Calculation of HydraulicPneumatic System in a Rocket", Mashinostroenieh, Moscow, 1983 . 4. Sonntag, R.E., Borgnakke, C., and VanWylen, G.J. "Fandamentals of Thermodynamics", Sixth Ed., John Wiley & Sons Inc., 2003. 5. Dieter, K.H. and Huang, H.D. "Design of Liquid Propellant Rocket Engines", Second Ed., Scientific and Technical Information Office, NASA, 1971.
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