Стр. 7 - Ю.И. Димитриенко, А.А. Захаров, М.Н. Коряков - Моделирование газодинамических потоков в каналах сверхзвуковых воздухозаборников на основе модели трехмерного пограничного слоя

ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012

81

Ⱦɚɥɟɟ ɩɨ ɷɬɨɦɭ ɪɟɲɟɧɢɸ ɧɚɯɨɞɹɬɫɹ ɡɧɚɱɟɧɢɹ ɮɭɧɤɰɢɣ

,

g

U

,

gn

v

g

T

ɧɚ ɜɧɟɲɧɟɣ ɝɪɚɧɢɰɟ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ .

e

6

Ɂɚɬɟɦ ɨɫɭɳɟɫɬɜɥɹɟɬɫɹ

ɪɟɲɟɧɢɟ ɡɚɞɚɱɢ (14) ɞɥɹ ɜɹɡɤɨɝɨ ɬɟɩɥɨɩɪɨɜɨɞɧɨɝɨ ɝɚɡɚ ɜ ɨɛɥɚɫɬɢ

e

V

ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ ɫ ɭɫɥɨɜɢɹɦɢ (12) ɧɚ ɜɧɟɲɧɟɣ ɝɪɚɧɢɰɟ ,

e

6

ɩɪɢɱɟɦ

ɮɭɧɤɰɢɢ

,

g

U

,

gn

v

g

T

ɜ ɷɬɢɯ ɭɫɥɨɜɢɹɯ ɩɨɥɚɝɚɸɬɫɹ ɢɡɜɟɫɬɧɵɦɢ ɢ ɛɟ-

ɪɭɬɫɹ ɢɡ ɩɨɥɭɱɟɧɧɨɝɨ ɪɟɲɟɧɢɹ ɞɥɹ ɢɞɟɚɥɶɧɨɝɨ ɝɚɡɚ ɧɚ ɩɪɟɞɵɞɭɳɟɦ

ɲɚɝɟ. ɂɧɬɟɝɪɢɪɨɜɚɧɢɟ ɫɢɫɬɟɦɵ ɇɚɜɶɟ—ɋɬɨɤɫɚ ɜɵɩɨɥɧɹɟɬɫɹ ɦɟɬɨɞɨɦ

ɪɚɡɞɟɥɟɧɢɹ ɩɨ ɮɢɡɢɱɟɫɤɢɦ ɩɟɪɟɦɟɧɧɵɦ. ɇɚ ɩɟɪɜɨɦ ɷɬɚɩɟ ɧɟ ɭɱɢ-

ɬɵɜɚɸɬɫɹ ɜɹɡɤɢɟ ɱɥɟɧɵ ɢ ɩɨɥɭɱɚɟɦɚɹ ɫɢɫɬɟɦɚ ɗɣɥɟɪɚ ɪɟɲɚɟɬɫɹ ɦɟ-

ɬɨɞɨɦ TVD. ɇɚ ɜɬɨɪɨɦ ɷɬɚɩɟ ɭɱɢɬɵɜɚɸɬɫɹ ɜɹɡɤɢɟ ɱɥɟɧɵ, ɚ ɤɨɧɜɟɤ-

ɬɢɜɧɵɟ ɱɥɟɧɵ ɢ ɭɪɚɜɧɟɧɢɟ ɧɟɪɚɡɪɵɜɧɨɫɬɢ ɢɫɤɥɸɱɚɸɬɫɹ ɢɡ ɪɚɫɫɦɨɬ-

ɪɟɧɢɹ. ɉɨɥɭɱɟɧɧɚɹ ɫɢɫɬɟɦɚ ɢɧɬɟɝɪɢɪɭɟɬɫɹ ɦɟɬɨɞɨɦ ɪɚɡɞɟɥɟɧɢɹ

ɩɟɪɟɦɟɧɧɵɯ [1, 8].

Ɋɟɡɭɥɶɬɚɬɵ ɱɢɫɥɟɧɧɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ ɬɟɱɟɧɢɹ ɜ ɋȼɁ.

ɑɢɫ-

ɥɟɧɧɨɟ ɦɨɞɟɥɢɪɨɜɚɧɢɟ ɝɚɡɨɞɢɧɚɦɢɤɢ ɜ ɤɚɧɚɥɟ ɋȼɁ ɨɫɭɳɟɫɬɜɥɹɥɨɫɶ ɫ

ɩɨɦɨɳɶɸ ɩɪɨɝɪɚɦɦɧɨɝɨ ɤɨɦɩɥɟɤɫɚ Sigma, ɪɚɡɪɚɛɨɬɚɧɧɨɝɨ ɧɚ ɤɚɮɟɞ-

ɪɟ Ɏɇ-11 ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. Ʉɨɦɩɥɟɤɫ ɛɵɥ ɦɨɞɢɮɢɰɢɪɨɜɚɧ

ɞɥɹ ɪɟɚɥɢɡɚɰɢɢ ɨɩɢɫɚɧɧɨɝɨ ɜɵɲɟ ɱɢɫɥɟɧɧɨɝɨ ɚɥɝɨɪɢɬɦɚ ɪɟɲɟɧɢɹ ɡɚ-

ɞɚɱɢ ɨ ɬɪɟɯɦɟɪɧɨɦ ɩɨɝɪɚɧɢɱɧɨɦ ɫɥɨɟ. ɑɢɫɥɟɧɧɵɣ ɚɧɚɥɢɡ ɩɪɨɜɨɞɢɥɫɹ

ɧɚ ɩɪɢɦɟɪɟ ɡɚɞɚɱɢ ɨɛ ɨɫɟɫɢɦɦɟɬɪɢɱɧɨɦ ɬɟɱɟɧɢɢ ɜɨ ɜɯɨɞɧɨɣ ɱɚɫɬɢ

ɤɚɧɚɥɚ ɋȼɁ.

ɉɚɪɚɦɟɬɪɵ ɧɚɛɟɝɚɸɳɟɝɨ ɩɨɬɨɤɚ ɢ ɧɚɱɚɥɶɧɵɟ ɞɚɧɧɵɟ ɛɵɥɢ ɫɥɟ-

ɞɭɸɳɢɦɢ:

3

0

0,1946

ɤɝ ɦ ;

0;

900

ɦ c;

r

z

v v

v

U

f

3

0

12 084,5

ɉɚ;

0,1946

ɤɝ ɦ ;

90

ɦ c.

z

p p

v

U

f

ɑɢɫɥɨ ɭɡɥɨɜ ɫɟɬɤɢ ɜ ɨɛɥɚɫɬɢ

\

e

V V

ɪɚɜɧɨ 41 258, ɜ ɨɛɥɚɫɬɢ ɩɨ-

ɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ

e

V

— 87 031.

Ɍɨɥɳɢɧɚ

h

ɨɛɥɚɫɬɢ ɩɨɝɪɚɧɢɱɧɨɝɨ ɫɥɨɹ

ɫɨɫɬɚɜɥɹɥɚ 8 % ɬɨɥɳɢɧɵ ɨɛɥɚɫɬɢ ɤɚɧɚɥɚ.

Ȼɵɥɢ ɩɪɨɜɟɞɟɧɵ ɬɪɢ ɫɟɪɢɢ ɱɢɫɥɟɧɧɵɯ ɪɚɫɱɟɬɨɜ: 1) ɞɥɹ ɢɞɟɚɥɶɧɨ-

ɝɨ ɝɚɡɚ ɜɨ ɜɫɟɣ ɨɛɥɚɫɬɢ

V

ɨɛɬɟɤɚɧɢɹ; 2) ɞɥɹ ɜɹɡɤɨɝɨ ɝɚɡɚ ɜɨ ɜɫɟɣ ɨɛɥɚ-

ɫɬɢ

V

; 3)

ɞɥɹ ɦɨɞɟɥɢ ɫ ɬɪɟɯɦɟɪɧɵɦ ɩɨɝɪɚɧɢɱɧɵɦ ɫɥɨɟɦ. ɇɚ ɪɢɫ. 1 ɢ 2

ɩɪɟɞɫɬɚɜɥɟɧɵ ɧɟɤɨɬɨɪɵɟ ɪɟɡɭɥɶɬɚɬɵ ɱɢɫɥɟɧɧɨɝɨ ɦɨɞɟɥɢɪɨɜɚɧɢɹ.

Ɋɟɡɭɥɶɬɚɬɵ ɪɚɫɱɟɬɨɜ ɩɨɤɚɡɵɜɚɸɬ, ɱɬɨ ɪɟɲɟɧɢɟ ɭɪɚɜɧɟɧɢɣ ɇɚ-

ɜɶɟ—ɋɬɨɤɫɚ ɜɨ ɜɫɟɣ ɨɛɥɚɫɬɢ ɬɟɱɟɧɢɹ ɢɡ-ɡɚ ɝɪɚɧɢɱɧɨɝɨ ɭɫɥɨɜɢɹ ɩɪɢ-

ɥɢɩɚɧɢɹ ɫɢɥɶɧɨ ɢɫɤɚɠɚɟɬ ɫɢɫɬɟɦɭ ɫɤɚɱɤɨɜ ɜ ɤɚɧɚɥɟ ɜɨɡɞɭɯɨɡɚɛɨɪɧɢ-

ɤɚ, ɤɨɬɨɪɚɹ ɫɬɚɧɨɜɢɬɫɹ ɧɟɮɢɡɢɱɧɨɣ. ɗɬɨɝɨ ɧɟɞɨɫɬɚɬɤɚ ɥɢɲɟɧɚ ɦɨɞɟɥɶ

ɢɞɟɚɥɶɧɨɝɨ ɝɚɡɚ, ɞɚɸɳɚɹ ɜɨɡɦɨɠɧɨɫɬɶ ɫ ɜɵɫɨɤɢɦ ɤɚɱɟɫɬɜɨɦ ɜɨɫ-

ɩɪɨɢɡɜɟɫɬɢ ɜɫɸ ɫɢɫɬɟɦɭ ɫɤɚɱɤɨɜ ɜ ɤɚɧɚɥɟ ɋȼɁ. ȼ ɬɨ ɠɟ ɜɪɟɦɹ ɷɬɚ ɦɨ-

ɞɟɥɶ ɧɟ ɩɨɡɜɨɥɹɟɬ ɜɵɱɢɫɥɹɬɶ ɬɟɩɥɨɜɵɟ ɩɨɬɨɤɢ ɧɚ ɫɬɟɧɤɟ ɋȼɁ, ɚ ɬɚɤɠɟ