PSI - Issue 50

12

Diana D. Popova et al. / Procedia Structural Integrity 50 (2023) 236–250 Popova, Popov, Samoylenko/ Structural Integrity Procedia 00 (2022) 000 – 000

247

Fig.13. Surfaces formed by the blade profile elements

Table 3. Working fluid relative consumption through the control surfaces

1: ideal parallel clearance, 10 -3

2: real non-parallel gap, 10 -3

Control surface

Difference, %

LE SS TE PS

-0.08 22.24 -0.41 21.02

-0.04 17.27 -0.29 16.95

–

-22

–

-19

It is concluded from the data given in Table 3 that in the case of the TC real shape, the flow rate through the control surfaces is reduced by more than 19%. In turn, a decrease in the parasitic flow through the tip clearance of the high-pressure working fluid leads to a decrease in the intensity and size of the vortex structures from the SS, which leads to a decrease in the loss of kinetic energy and total pressure. Figure 15 shows a graph of the distribution of kinetic energy losses at the outlet of the blade ring along the height of the channel, determined by equation (4) (Dejch M.E., Filippov G.A. & Lazarev L.YA. (1965): , ) λ ( π 1 ) λ ( π 1 1 ξ ad     (4)

wc wc 1 k 

wc wc 1 k 

k

k

  

  

  

  

* W p p

* W p p 2

) λ ( π

ad ) λ ( π





2

where

and

; p 2 is the static pressure at the working crown outlet; p* W2

2

1

is the total pressure in relative motion at the working crown outlet; wc k is the adiabatic index in the working crown domain; p* W1 is the total pressure in relative motion at the working crown inlet.