TY - JOUR

T1 - Shock formation patterns in transonic flow past an airfoil

AU - Kuz'min, Alexander

PY - 1996

Y1 - 1996

N2 - Transonic flow with a local supersonic region (LSR) is studied numerically and analytically. The arising of shock waves is analyzed for small as well as large deviations of the airfoil shape from a shockless configuration. As shown, the coalescing of compression waves and formation of weak shocks are caused by either too small curvature of an airfoil portion, or the steepening of flow gradients due to accumulative phenomena in the LSR, or strong deceleration of the flow that occurs near the sonic line forestalling the development of the accumulative phenomena. In particular, wavy sonic line configurations obtained at off-design freestream Mach numbers in [9],[11] are accounted for by the interaction of the arising shocks with the sonic line.

AB - Transonic flow with a local supersonic region (LSR) is studied numerically and analytically. The arising of shock waves is analyzed for small as well as large deviations of the airfoil shape from a shockless configuration. As shown, the coalescing of compression waves and formation of weak shocks are caused by either too small curvature of an airfoil portion, or the steepening of flow gradients due to accumulative phenomena in the LSR, or strong deceleration of the flow that occurs near the sonic line forestalling the development of the accumulative phenomena. In particular, wavy sonic line configurations obtained at off-design freestream Mach numbers in [9],[11] are accounted for by the interaction of the arising shocks with the sonic line.

UR - http://www.scopus.com/inward/record.url?scp=33748731294&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33748731294

VL - 76

SP - 529

EP - 530

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - SUPPL. 4

ER -