tailieunhanh - Study on the propagation of inlet flow distortion in axial compressor using an integral method_2

Tham khảo tài liệu 'study on the propagation of inlet flow distortion in axial compressor using an integral method_2', kỹ thuật - công nghệ, điện - điện tử phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Numerical Method 11 dp i - dx Y Uo 2 dx _2 dP F da 2y 2-a p- dx Uo dx These five differential equations contain terms obtained by the integration of differential expressions of the distortion parameters following up with their previous name 8 we term them as integral equations here. Numerical Method Equations The integral are solved numerical using the 4th-order Runge-Kutta method. The integral equations are rewritten as da P Fx- f x a p ao po P dx a 3 U0 dp p f2 x a p a po P dx aỵ Uo 7 rv K _ F F a f x a p a p P dx aK3 U0 dp 1 ĩyp P K2 Fx -Fx0 f x a p a pn P 7 _ TT2 z _ tt2 J 4 x a p a0 p0 dx aoY U02 ao aK3 U00 dP da. 1 F 7x-ap 2 f5 x a p a0 p0 P dx Uo dx 2y 4th-order Runge-Kutta Equations ai 1 ai t K11 2K 21 2K31 K 41 6 pi 1 p 6 K12 2K22 2K32 K42 ao 1 ao 6 K13 2K23 2K33 K43 po l I po 1 K14 2K24 2K34 K44 P 1 P 1 K15 2K25 2K35 K45 6 12 Chapter 1 Study on the Propagation of Inlet Flow Distortion where the iterative variables can be calculated by K11 Axf1 xt a pt a t pữp 1-67 K12 Axf2 x a p a0i P0i P 1-68 K13 Axf3 xj a. P Por P. 1-69 K14 Axf4 x. ai p. aoi Poi Pi 1-7o K15 Axf5 xi a. pi aoi poi Pi 1-71 K21 Axf1 x Ax a. p K 2 Kt Po V P v 1-72 r Axf. x . a . p p a K . p K . P p 1-73 K22 AxJ2 xi 2 ai 2 pi 2 ao 2 po i 2 P 2 K23 J ệ a K1 p. a KtA K P. Kp 1-74 K24 Axfxx. Axa r- p a r pữi f Pi K 1-75 K25 x a 4 p r a 4a 4 P 4 1-76 25 5 V i 2 7 i 2 1 i 2 i 2 i 2 7 i 2 K Axf1 x Ax a K21 p K a i K pữ i r p Kt 1-77 K32 Axf2 xt 4x ai K pt T2 a K p 24 P K 1-78 32 2 i 2 i 2 i 2 o i 2 o i 2 i 2 K33 Axf3 xi AĨ a r21 pi K2 aữi K3 pữi K p Kat 1-79 K34 Axf4 x. Ax ai K p. ao K2 p f4 P K 1-8o 34 4 i 2 i 2 i 2 o i 2 o i 2 i 2 K35 Axf5 x. AĨ a K21 p. r a i K p. r P K5 1-81 K41 Axf1 x. Ax a. K31 p K32 ao. K33 po. K34 P K35 1-82 K42 Axf2 xi Ax ai K31 p. K32 ao . K33 po . K 34 Pi K35 1-83 K43 Axf3 xi Ax a. K31 p. Í32 ao i K33 pữ i K34 P K35 1-84 K44 AXf4 xi Ax ai K31 p. K32 ao .