Page 251 - Fluid Mechanics and Thermodynamics of Turbomachinery
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232 Fluid Mechanics, Thermodynamics of Turbomachinery
and
2
T 02 /T 01 D [1 C U /.C p T 01 /].
2
Now
02 a 02 D 01 a 01 . 02 / 01 /.a 02 /a 01 /
1/2
D 01 a 01 [p 02 /p 01 .T 01 /T 02 / ],
therefore,
2
2
P m [1 C .
1/ i U /a ]
/.
1/ 2 .
C1//2.
1/
2 01
D 01 a 01 2 . (7.38)
A 2 [1 C .
1/ U /a 01 ] 1/2
C 1
2
In this analysis it should be noted that the diffuser process has been assumed to
be isentropic but the impeller has not. Eqn. (7.38) indicates that the choking mass
flow can be varied by changing the impeller rotational speed.
References
Bosman, C. and Jadayel, O. C. (1996). A quantified study of rothalpy conservation in turbo-
machines. Int. J. Heat and Fluid Flow., 17, No. 4, 410 17.
Calvert, W. J. and Swinhoe, P. R. (1977). Impeller computer design package, part VI - the
application of finite element methods to the stressing of centrifugal impellers. NGTE
Internal Note, National Gas Turbine Establishment, Pyestock, Farnborough.
Came, P. (1978). The development, application and experimental evaluation of a design
procedure for centrifugal compressors. Proc Instn. Mech. Engrs., 192, No. 5, 49 67.
Came, P. M. and Herbert, M. V. (1980). Design and experimental performance of some high
pressure ratio centrifugal compressors. AGARD Conference Proc. No. 282.
Campbell, K. and Talbert, J. E. (1945). Some advantages and limitations of centrifugal and
axial aircraft compressors. S.A.E. Journal (Transactions), 53, 10.
Cheshire, L. J. (1945). The design and development of centrifugal compressors for aircraft
gas turbines. Proc. Instn. Mech. Engrs. London, 153; reprinted by A.S.M.E. (1947),
Lectures on the development of the British gas turbine jet.
Clements, W. W. and Artt, D. W. (1988). The influence of diffuser channel length to width
ratio on the efficiency of a centrifugal compressor. Proc. Instn Mech Engrs., 202, No. A3,
163 9.
Csanady, G. T. (1960) Head correction factors for radial impellers. Engineering, 190.
Dean, R. C., Jr. (1973). The centrifugal compressor. Creare Inc. Technical Note TN183.
Ferguson, T. B. (1963). The Centrifugal Compressor Stage. Butterworth.
Gas Turbine News (1989). International Gas Turbine Institute. November 1989. ASME.
Hawthorne, Sir William (1978). Aircraft propulsion from the back room. Aeronautical J.,
March 93 108.
Hess, H. (1985). Centrifugal compressors in heat pumps and refrigerating plants. Sulzer Tech.
Rev., 3/1985, 27 30.
Lyman, F. A. (1993). On the conservation of rothalpy in turbomachines. J. of Turbomachinery
Trans. Am. Soc. Mech. Engrs., 115, 520 6.
Moore, J., Moore, J. G. and Timmis, P. H. (1984). Performance evaluation of centrifugal
compressor impellers using three-dimensional viscous flow calculations. J. Eng. Gas
Turbines Power. Trans Am. Soc. Mech. Engrs., 106, 475 81.

