Wall Temperature and Rotation Rate Effects on the Magnus Force of a Spinning Rocket

Abstract

The current work focuses on wall temperature (300–1200 K), dimensionless spin rate (0–0.315) and angles of attack (0–10°) on Magnus effects for the 7-caliber Army-Navy Spinner Rocket (ANSR) using Reynolds-averaged Navier-Stokes methods. The Mach number and the Reynolds number, in terms of the free-stream velocity and the ANSR diameter, are 1.8 and 8.37 × 105. Different turbulence models are verified by a fully developed turbulent channel flow to ensure accurate prediction of the near-wall turbulence. The k-epsilon Yang-Shih model provides a favorable result in terms of the logarithmic velocity, turbulent kinetic energy, turbulent shear stress and dissipate rate. The ANSR simulations suggest that the Magnus force is approximately proportional to the dimensionless spin rate. Furthermore, the simulations provide a profound insight into the flow structure and reveal that the separation point moves forward with the increasing dimensionless spin rate. With the increase of angle of attack between 0–10°, the boundary layer thickness distortion increases, however the variation of the separation point is negligible. The current study also suggests that higher surface temperature has a positive effect on reducing the Magnus and drag forces, in the meantime, on increasing the lift force.