Numerical simulation of side loads in an ideal truncated nozzle

The side loads induced by unsymmetrical and unsteady separation of the flow taking place in the nozzle extension during launch are a very important limiting factor for the performance of a rocket engine. The onset of suchloads is not yet a fully understood phenomenon because only a limited amount of experimental data is available due to test difficulties. A numerical study of the three-dimensional overexpanded nozzle flow during stationary operations has been undertaken to try to understand the origin of this phenomenon. The flow separation in an truncated ideal contoured nozzle is investigated together with the resulting side loads. Comparisons with experimental data are given. The numerical simulation relies on the resolution of the three-dimensional unsteady Reynolds-averaged Navier-Stokes equations. An algebraic turbulence model based on Baldwin-Lomax and Goldberg's backflow correction has been implemented in a three-zone formulation adapted to the flow topology of interest. The main features of the flowfield, side-loads mean value, and the separation point location are well estimated. With regard to the separation point location, the proposed method gives better results than the most commonly used semi-empirical criteria. Unsteady characteristics of the flowfield are presented.

[1]  R. H. Schmucker Status of flow separation prediction in liquid propellant rocket nozzles , 1974 .

[2]  Gerald Hagemann,et al.  Flow Separation and Side-Load Behavior of the Vulcain Engine , 1999 .

[3]  Jan Ostlund,et al.  Assessment of turbulence models in overexpanded rocket nozzle flow simulations , 1999 .

[4]  T. J. Goldberg,et al.  Turbulent-Flow Separation Criteria for Overexpanded Supersonic Nozzles , 1978 .

[5]  Eric Garnier,et al.  Turbulence modelling applied to space launcher configurations , 2002 .

[6]  S. Ramakrishnan,et al.  Numerical simulation of swept shock/boundary-layer interactions , 1990 .

[7]  Mikael Bigert,et al.  A Sub Scale Investigation on Side Loads in Sea Level Rocket Nozzles , 1999 .

[8]  P. Libby,et al.  Analysis of Turbulent Boundary Layers , 1974 .

[9]  G. Hagemann,et al.  Flow Separation and Side-Loads in Rocket Nozzles , 1999 .

[10]  G. Dumnov Unsteady side-loads acting on the nozzle with developed separation zone , 1996 .

[11]  G. Hagemann,et al.  Status of Low Separation Prediction in Rocket Nozzles. , 1998 .

[12]  S. Kalt,et al.  Conical rocket nozzle performance under flow- separated conditions , 1965 .

[13]  Roxan Cayzac,et al.  Magnus Effect over Finned Projectiles , 2001 .

[14]  J. Piquet Complex Effects in Turbulent Flows , 1999 .

[15]  M. Visbal,et al.  The Baldwin-Lomax Turbulence Model for Two-Dimensional Shock-Wave/Boundary-Layer Interactions , 1984 .

[16]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[17]  M. Onofri,et al.  The Physical Origins of Side Loads in Rocket Nozzles , 1999 .

[18]  E. Zukoski Turbulent Boundary-Layer Separation in Front of aForward-Facing Step , 1967 .

[19]  U. Goldberg,et al.  Separated flow treatment with a new turbulence model , 1986 .

[20]  E. R. V. Driest On Turbulent Flow Near a Wall , 1956 .

[21]  S. R. Chakravarthy,et al.  Numerical investigation of separated nozzle flows , 1994 .