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.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The grant support from the National Science Foundation of China (No. 12072027 and No. 11532002) is greatly acknowledged.

Notes on contributors

Kuiju Xue

Kuiju Xue is a Ph.D. student of Beijing Institute of Technology. He received his Bachelor's degree in flight vehicle design engineering from the North University of China. Currently, he is studying at the flight control department of the School of Aerospace Engineering. His research fields are numerical simulation of complex flows and flow control. He has published three papers in journals and conferences.

Liangyu Zhao

Liangyu Zhao is an Associate Professor of the School of Aerospace Engineering, Beijing Institute of Technology, Beijing, P. R. China. He received his Bachelor and Doctoral Degrees both from Beijing Institute of Technology in 2003 and 2008. His work focuses on flight vehicle design, flight dynamics and control, and aerodynamics. He has published more than 30 papers in journals and conferences.

Qinling Li

Qinling Li is a senior lecturer in the Department of Engineering and Mathematics, Sheffield Hallam University, UK. After receiving her Ph.D. in the School of Engineering & Science, University of Southampton, she worked as research associate on two EPSRC projects, one in Aeronautical and Automatics Engineering Department, Loughborough University (2003 - 2006), another one in the Department of Applied Mathematics and Theoretical Physics, University of Cambridge (2006 - 2009). Her main research fields are fundamentals of compressible turbulence, shock-waves boundary layer interaction, jet-in-cross flow & mixing enhancement, turbine/combustion chamber cooling effectiveness, fan broadband noise prediction, short take-off and vertical landing aircraft in the descending phase, high-order numerical methods used in DNS/LES, fluid-structure interaction, nanofluids and microscale fluid/heat transfer. She has published over 20 peer-reviewed publications (book/book chapters, journals and conferences).

Longyin Jiao

Longyin Jiao is a Ph.D. student at Beijing Institute of Technology. He received his Bachelor's degree in engineering from the Beijing Institute of Technology. He is currently studying at the flight control department of the School of Aerospace Engineering. His research field is flow control, with two papers published in conferences.