AE3450 Lectures5 6 LiquidEOS

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  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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    !"#$%&'())*+,( ./+)01"#(

    2" !"#$%&'())!*+( )-*)./"#(*) $"( 34$)(

    )&(#*5# 6$,/%( 7$' 8(")*09: '(%1*") #$")01"0

    '(;1'8,()) $< #41";() *" $04(' &'$&('=()

    .$,*8) 1"8 %$)0 ,*>/*8) %19 +( 1))/%(8

    *"#$%&'())*+,( 3*04$/0 %/#4 ,$)) *" 1##/'1#9

    2'( 04(9 '(1,,9 *"#$%&'())*+,(?

    @4( 8*A('("#( +(03((" #$")01"0 &'())/'( 1"8#$")01"0 6$,/%( )&(#*5# 4(10) *) B('$C

    D

    ( ) ( ) ( )v pC T C T C T = =

  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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    E$%&'())(8 G*>/*8)

    E$%&'())(8 ,*>/*8 8101 1'( /*8 )010( 10 04( )1%(0(%&('10/'( 1) 1 )10/'10(8 ,*>/*8 10 )010( DC 04("

    @4( )&(#*5# 6$,/%() 1'( 1,)$ 1&&'$H*%10(,9 (>/1,C04('(

  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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    J>/*,*+'*/% K*1;'1%)

    2,, L"$3" )/+)01"#() #1" (H*)0 *" )$,*8C ,*>/*8C $';1)($/) 761&$': &41)(

    M*H0/'() $< %$'( 041" $"( &41)( 1'( &$))*+,(

    N$ )*";,( (>/1=$" (H&'())*"; 04( OP6P@ +(416*$'$< )/#4 %*H0/'() (H*)0

    E$")*8(' 1 &*)0$"P#9,*"8(' 5,,(8 3*04 ,*>/*8 310('

    10 '$$% 0(%&('10/'( 1"8 &'())/'(Q @4( &*)0$"41) %1)) 1"8 *) 1,,$3(8 0$ %$6(Q

    N$3C ,(0 04('( +( 4(10 0'1")

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    T(10 ./+)01"#( 10 E$")01"0 &

    D P F .UG!K

    F P I .UG!K V G!WX!KI P S G!WX!K

    S P Y G!WX!K V Z2.

    Y V Z2.

    T

    v

    Phi

    12

    4 5

    Solid+

    LiquidLiquid

    Liquid+Gas Gas

    Plo

    3

    Y

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    J>/*,*+'*/% K*1;'1%)

    ['$% DPF 04( 0(%&Q $< 04(,*>/*8 310(' *"#'(1)() 10#$")01"0 O7#$%&'())(8 $' )/+P#$$,(8

    ,*>/*8: 20 FC )10/'10(8 ,*>/*8

    20 IC ,*>/*8\61&$' (>/*,*+'*/%

    20 SC )10/'10(8 61&$'

    ['$% SPYC 04( 0(%&Q $< 04(61&$' *"#'(1)() 10 #$")01"0 O7)/&('4(10(8 61&$':

    R410 41&&(") *< 3( '(&(1004( (H&('*%("0 10 4*;4('&'())/'(?

    ]

    !

    ['$% FPS ^ 61&$'*B1=$"! ['$% SPF ^ #$"8(")1=$"

  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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    J>/*,*+'*/% K*1;'1%)

    E$%&,(0( (>/*,*+'*/%8*1;'1% *" OP6P@ )&1#(

    E$%&,(HC )$ "$0 ,*L(,9 0$8(6(,$& 1 )*%&,( (H&'())*$"

    3*,, +( 8(6(,$&(8 !"0('&$,1=$" '(>/*'(8 34("

    /)*"; 04( 01+,( ^ ,*"(1'*"0('&$,1=$"

    R1"0 0$ 5"8C

  • 8/11/2019 AE3450 Lectures5 6 LiquidEOS

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    J>/*,*+'*/% K*1;'1%)

    O'$c(#=$" $< I8 )/'

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    J>/*,*+'*/% K*1;'1%)

    O'$c(#=$" $< 04( I8 )/'

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    Typical T-vDiagram

    Solid + gas/

    vapor

    Liquid+Gas

    (Saturated)

    Vapor Dome

    Solid

    Gas/

    Superheated Vapor

    CriticalP

    ointT

    v

    Pcrit

    Phi

    Plow

    Supercriti

    calStates

    Triple Line

    Saturation States

    = Phase Transitions

    Solid

    +L

    iquid

    (S

    ubc

    oo

    led)

    Liq

    uid

    DD

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    J>/*,*+'*/% K*1;'1%)

    O'$c(#=$" $" 04( OP@ &,1"(

    N$0( 0'*&,( ,*"( 1&&(1') 0$ +( 1

    &$*"0 ^ "$0 '(1,,9 1 )*";,( )010(C'104('C ,$0) $< )010()

    G*>/*8P)$,*8 ^ #1,,(8

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    ./&('4(10(8 f1&$'

    2 )/+)01"#( *) 1 )/&('P4(10(8 61&$' *< @g@)1010 04( &'())/'( $