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Lectut MIN 210 PDF 05 Gas Turbines

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    RAVI KUMA

    GAS TURBINES

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    I I T R o o r k e e

    GAS TURBINESThe gas turbine obtains its power by using energygases and air at high temperature and presexpanding in severa rings of moving and fixed b

    The "uantity of the wor#ing f uid and speed re"more$ so$ genera y$ a %entrifuga or an axia

    emp oyed!After %ompression$ it is re"uired either to invo ume of f uid at %onstant pressure or inpressure at %onstant vo ume! Genera y thpreferred and is attained by in%reasing the tempe

    the gases!Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    +,-.,NENTS ,/ A GAS TURBINE

    %ompressor%ombustion %hamber

    turbine

    %ondenser

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    +1ASSI/I+ATI,N

    on the basis of %ombustion pro%ess%onstant pressure 2 3ou e4Brayton %y%

    %onstant vo ume 2At#inson %y% e5

    on the basis of a%tion of expanding gas

    impu se turbineimpu se4rea%tion turbine

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    7

    on the basis of path of wor#ing substan%eopen %y% e

    % osed %y% esemi4% osed %y% e

    on the basis of dire%tion of f ow

    axia f ow 2power p ant 8 aviation5radia f ow

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    Simp e ,pen +y% e Gas Turbine

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    Simp e Gas Turbine +y% eaa

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

    4

    32

    1

    p

    v1

    2

    3T

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    I I T R o o r k e e = − − −

    = − − −

    = − − − −

    = 1 − − −

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e =

    = =

    − 1 = − 1

    − −

    =

    = 1 − − −

    = 1 − = 1 −1

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e = 1 −

    1

    =

    1

    = =

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    I I T R o o r k e e

    A%tua Brayton +y% e

    The f uid ve o%ities are high in turboma%hthe %hange in #ineti% energy between in et anea%h %omponent %annot ne%essari y be imay be ta#en %are by %onsidering stagnationproperties instead of stati% va ues!There are fri%tion osses in turbines and %omp

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    A%tua +y% e

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

    1

    2

    3

    4

    T

    s

    2 ’

    4 ’

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    I I T R o o r k e e

    7a%tua BThere is a sma pressure oss in the %ombustion %hThe mass of gas f ow in the turbine is 2&

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    I I T R o o r k e e

    +y% e Air RateAir f ow rate re"uired for per #i owatt hour

    =

    =

    !""

    =!""

    #$ %& ' ( ) * = +,

    -

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    he extra wor# supp ied to the %ompressor due to its iis not entire y wastefu be%ause the heat supp%ombustion %hamber is redu%ed!

    = − 1

    = 1 − 1

    = 1 −1

    − −

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e = 1 −

    ./0

    /− 2 -3 4

    /0/ − 1

    = 1 − 1 − 1 − 1

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    a

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    If > %is e"ua to > t the ratio of T 0=T& %an be %awhi%h no wor# is possib e! This resu t in

    56+ = =

    If r ? 9@ effi%ien%ies are )!'9 and γ ? &!6 the t min is (means that for T & e"ua to ('' the T 0 is *0& 20

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

    N meri% 4&

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    I I T R o o r k e e

    Numeri%a 4&A gas turbine power p ant wor#s between the fixed andtemperature imits 0)) and ;)) $ the abso ute pressubeing &)) #.a and 6)) #.a! The isentropi% effi%

    %ompressor is )!' and that of turbine is )!'9! Estimate ththerma effi%ien%y if he p ant and the power avaidriving externa oad if the fue %onsumption is &%a orifi% va ue of fue is 6( -3=#g!

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

    eat Ex%hanger +y% e

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    I I T R o o r k e e

    eat Ex%hanger +y% ea

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

    ( ) (( )43p

    2p43pth TTc

    TcTTc

    −−=η

    TTx

    TT1

    TT1

    3

    1

    4

    1th −=−=η

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    I I T R o o r k e e

    en%e$ effi%ien%y of heat ex%hanger %y% e is nomaximum %y% e temperature and % ear y iin%reases!

    As the t in%reases in is not ne%essary to in%rease

    Apri &'$ ()&* Prof. Ravi Kumar, Department of Mechanical & Industrial En

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    I I T R o o r k e e

    T E ENC

    DDD


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