CHAPTER 3 - 6BOOK: FLUID MECH & THERMODYNAMICS, 6e, S.L. Dixon, C.A. Hall(The answer is available in Chegg, but I don't have an account for that. Thanks) 6.(a) Show that the pressure rise coefficient C, = Ap/( pc;) of an incompressible compressor cas-cade is related to the total pressure loss coefficient by the following expression:Cp =1- (sec?a, + 5)/sec?a¡,Š = Apo/where a1, a2=flow angles at cascade inlet and outlet.(b) Determine a suitable maximum inlet flow angle of a low speed compressor cascade having aspace-chord ratio 0.8 and a2 =30° when the diffusion factor DF is limited to 0.6. The defini-tion of diffusion factor that should be used is the early Lieblein formula (1959):cos ɑj1-cos a2cos aj(tan a1 – tan a2).DF =(c) The stagnation pressure loss derived from flow measurements on this cascade is 149 Pa whenthe inlet velocity c1 is 100 m/s at an air density p of 1.2 kg/m³. Determine the values of(i) pressure rise and(ii) drag and lift coefficients.

a We will start writing the expression for loss in total pressure across a compressor cascade due to…

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Question

CHAPTER 3 - 6

BOOK: FLUID MECH & THERMODYNAMICS, 6e, S.L. Dixon, C.A. Hall

(The answer is available in Chegg, but I don't have an account for that. Thanks)

6.
(a) Show that the pressure rise coefficient C, = Ap/( pc;) of an incompressible compressor cas-
cade is related to the total pressure loss coefficient by the following expression:
Cp =1- (sec?a, + 5)/sec?a¡,
Š = Apo/
where a1, a2=flow angles at cascade inlet and outlet.
(b) Determine a suitable maximum inlet flow angle of a low speed compressor cascade having a
space-chord ratio 0.8 and a2 =30° when the diffusion factor DF is limited to 0.6. The defini-
tion of diffusion factor that should be used is the early Lieblein formula (1959):
cos ɑj
1-
cos a2
cos aj
(tan a1 – tan a2).
DF =
(c) The stagnation pressure loss derived from flow measurements on this cascade is 149 Pa when
the inlet velocity c1 is 100 m/s at an air density p of 1.2 kg/m³. Determine the values of
(i) pressure rise and
(ii) drag and lift coefficients.

Science that deals with the amount of energy transferred from one equilibrium state to another equilibrium state.

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