TY - JOUR

T1 - Cumulative and non-linear phenomena in the local supersonic region

AU - Kuz'min, A. G.

PY - 1994

Y1 - 1994

N2 - Transonic gas flow in a channel of variable cross-section is considered. On the lower wall of the channel there is a smooth bump, simulating an aerodynamic profile, around which a local region of supersonic flow forms. The full velocity potential equation is used as the basis for a numerical investigation of the structure of the flow field when the shape of the bump is slightly or very different from shockless form. The increase in the perturbation amplitude in the narrower part of the supersonic region due to the cumulative effect is followed, and the development of non-linear effects, leading to the formation of a shock wave, is noticed. Methods of controlling the flow by perforating the surface of the wall, thus reducing the intensity of the shock wave, are proposed.

AB - Transonic gas flow in a channel of variable cross-section is considered. On the lower wall of the channel there is a smooth bump, simulating an aerodynamic profile, around which a local region of supersonic flow forms. The full velocity potential equation is used as the basis for a numerical investigation of the structure of the flow field when the shape of the bump is slightly or very different from shockless form. The increase in the perturbation amplitude in the narrower part of the supersonic region due to the cumulative effect is followed, and the development of non-linear effects, leading to the formation of a shock wave, is noticed. Methods of controlling the flow by perforating the surface of the wall, thus reducing the intensity of the shock wave, are proposed.

UR - http://www.scopus.com/inward/record.url?scp=0346775993&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0346775993

VL - 34

SP - 1091

EP - 1101

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8-9

ER -