Transonic Flow past the Two-Dimensional Wedge with Detached Shock Wave-Part I
The so-called Tricomi's equation for the stream function is solved analytically, subject to the boundary conditions prescribed along the axis of the symmetry, the surface of the wedge, the sonic line and the shock polar in the small disturbance plane. The system of the linear equations for the...
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| Published in | 日本航空学会誌 Vol. 4; no. 25-26; pp. 38 - 44 |
|---|---|
| Format | Journal Article |
| Language | Japanese |
| Published |
一般社団法人 日本航空宇宙学会
1956
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| Online Access | Get full text |
| ISSN | 0021-4663 2432-3039 |
| DOI | 10.2322/jjsass1953.4.38 |
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| Abstract | The so-called Tricomi's equation for the stream function is solved analytically, subject to the boundary conditions prescribed along the axis of the symmetry, the surface of the wedge, the sonic line and the shock polar in the small disturbance plane. The system of the linear equations for the unknown coefficients of the solution is reduced from the boundary conditions along the sonic line and the shock polar. Solving these linear equations, the solution is determined and the flow patterns in the physical plane are obtained from the hodograph plane. In the analysis the wedge angle and the free stream Mach number are not involved separately but the solutions are represented by the transonic similarity parameter only. |
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| AbstractList | The so-called Tricomi's equation for the stream function is solved analytically, subject to the boundary conditions prescribed along the axis of the symmetry, the surface of the wedge, the sonic line and the shock polar in the small disturbance plane. The system of the linear equations for the unknown coefficients of the solution is reduced from the boundary conditions along the sonic line and the shock polar. Solving these linear equations, the solution is determined and the flow patterns in the physical plane are obtained from the hodograph plane. In the analysis the wedge angle and the free stream Mach number are not involved separately but the solutions are represented by the transonic similarity parameter only. |
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| DOI | 10.2322/jjsass1953.4.38 |
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| References | 1) Vincenti, G.W. and Wagoner, C.B.: Transonic Flow past a Wedge Profile with Detached Bow Wave, N.A.C.A. Tech. Rep. 1095, 1952. 3) Guderley. G. and Yoshihara, H.: The Flow over a Wedge Profile at Mach Number 1, Journ. Aero. Sci., Vol. 17, No.11. Nov. 1950. 2) Vincenti, W.G. and Wagoner, C.B.: Theoretical Study of the Transonic Lift of a Double-Wedge Profile with Detached Bow Wave, N.A.C.A. Tech. Rep. 1180. 1954. |
| References_xml | – reference: 1) Vincenti, G.W. and Wagoner, C.B.: Transonic Flow past a Wedge Profile with Detached Bow Wave, N.A.C.A. Tech. Rep. 1095, 1952. – reference: 2) Vincenti, W.G. and Wagoner, C.B.: Theoretical Study of the Transonic Lift of a Double-Wedge Profile with Detached Bow Wave, N.A.C.A. Tech. Rep. 1180. 1954. – reference: 3) Guderley. G. and Yoshihara, H.: The Flow over a Wedge Profile at Mach Number 1, Journ. Aero. Sci., Vol. 17, No.11. Nov. 1950. |
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| Snippet | The so-called Tricomi's equation for the stream function is solved analytically, subject to the boundary conditions prescribed along the axis of the symmetry,... |
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| Title | Transonic Flow past the Two-Dimensional Wedge with Detached Shock Wave-Part I |
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