CHAPTER-7 CASCADES.pdf

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    . . . . . ! " ! "

    #. $ % &

    '. ( ! " " ). * +. , -. / . 0 1. . $0 0

    Cascade Nomenclature

    .

    . $0 . $2 #. 30 '. 4 / /4 ! 4

    56708 9

    ). / / ! 56708 9

    :8 !;

    Prepared by Dr. S. Ramamurthy, [email protected]

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    ero!oil representation

    "ritish Practice#

    ero!oil built around basic circular or parabolic camber line

    $2C%&3' P30 Denotes an aero!oil !or (hich the ma)imum thic*ness to chord ratio+t&c is $2-, C% denotes

    the base pro!ile, 3' is the camber angle in degrees, P denotes a parabolic arc camber line and 30 is the

    percentage o! the chord !rom the leading edge (here ma)imum camber occurs.

    merican Practice#

    Series o! aero!oils deeloped by NC+National disory Committee !or eronautics

    series o! camber lines used, each associated (ith design li!t coe!!icient +C/ o! a single aero!oil.

    NC 1'+$2$0

    Camber line corresponding to C/$2&$0$.2 and a pro!ile shape 1' (ith appro)imate $0- thic*ness.

    rdinates !or other camber are obtained by direct scaling in proportion to the camber C/

    Prepared by Dr. S. Ramamurthy, [email protected]

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    Construction o! C% 4 C5 compressor blade base pro!iles

    % Chord t/2 NACA 65 Series t/2 for C4 t/2 for C7 t/2 for T6

    0 0 0 0 0 0.' 0.552

    0.5' 0.632

    $.2' $.$16 $.1' $.'$ $.$5

    2.' $.'5% 2.25 2.0% $.'%

    ' 2.$55 3.07 2.52 $.66

    5.' 2.15% 3.12 3.$7 2.35

    $0 3.0% %.02 3.'% 2.5%

    $' 3.111 %.'' %.0' 3.%

    NC 1'$0

    Coordinates o! "ritish C% ,C5, NC1'$0 and 81 base pro!iles

    . . . .

    2' %.'03

    30 %.51 ' %.71 %.52

    3' %.62%

    %0 %.661 %.76 ' '

    %' %.613

    '0 %.7$2 %.'5 %.71 %.15

    '' %.'3

    10 %.$%1 %.0' %.%3 3.5

    1' 3.172

    50 3.$' 3.35 3.53 2.'$

    5' 2.'7%

    70 $.635 2.'% 2.57 $.%2

    7' $.37'

    60 0.7$ $.1 $.1' 0.7'

    6' 0.301 $.01 $.06 0.52

    $00 0 0 0 0

    /9 Radius 0.175- o! C $2- ma) t $2-ma) t $2- ma) t

    89 Radius Sharp 1- ma) t 1- ma) t 1- ma) t

    3Di!!erent air!oils used in

    8urbo machines

    C%

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    Coordinates o! NC 1' Series air!oil +see table 7.2

    )&c- "ase Pro!ile t&2

    rdinate and slope o! mean camber line !or Clo$.0

    rdinate y&c - Slope dy&d)

    0 0 0

    0.' 0.552 0.2' 0.%2$20

    0.5' 0.632 0.3' 0.3775'

    $.2' $.$16 0.'3' 0.3%550

    2.' $.'5% 0.63 0.26$''

    ' 2.$55 $.'7 0.23%30

    5.' 2.1%5 2.$2 0.$666'

    $0 3.0% 2.'7' 0.$5%7'

    $' 3.111 3.31' 0.$370'

    20 %.$%3 3.67 0.$$030

    Prepared by Dr. S. Ramamurthy, [email protected]

    NC 1' series o! cascade aero!oils

    +/.:. ;erring ,:.C. 9mery and :.R. 9r(in.

    Courtesy NC

    2' %.'03 %.%5' 0.075%'

    30 %.51 %.71 0.015%'3' %.62% '.$' 0.0%62'

    %0 %.661 '.3'' 0.0322'

    %' %.613 '.%5' 0.0$'6'

    '0 %.7$2 '.'$' 0.00000

    '' %.'30 '.%5' 0.0$'6'

    10 %.$%1 '.3'' 0.0322'

    1' 3.172 '.$' 0.0%62'

    50 3.$'1 %.71 0.015%'

    5' 2.'7% %.%5' 0.075%'

    70 $.675 3.67 0.$$030

    7' $.37' 3.31' 0.$370'

    60 0.7$ 2.'7' 0.$5%7'

    6' 0.301 $.'7 0.23%30

    $00 0 0

    /9 radius 0.175

    NACA 65 Series Compressor blade profiles

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    Section o! pro!iles in use in a)ial machines

    Prepared by Dr. S. Ramamurthy, [email protected]

    Common camber line shapes

    Suction 4 Pressure Sur!ace

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    "lade setting ariables

    =lo( 4 pressure distribution

    =lo( 4 pressure distribution

    Root and tip sections o! a typical

    Compressor rotor blade illustrating

    8he degree o! t(ist

    Prepared by Dr. S. Ramamurthy, [email protected]

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    , 4 !479 @F D>@ HIJ79 " >@ HIJ79E!5>@F DHIJ79 "HIJ79E = = = 79

    BC C 79 79 5>@

    79D/479 < /79E !5>@F DHIJ79 "HIJ79E

    /479 < /79 ! DHIJ79 "HIJ79E79K2 /4/ 001. / /4 !

    DHIJ79 "HIJ79E79

    LMNBO ! PL Prepared by Dr. S. Ramamurthy, [email protected]

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    : C Q ,05