题名

固體推進劑非均勻燃燒退化面的模擬計算

并列篇名

NUMERICAL SIMULATION OF NON-UNIFORM GRAIN REGRESSION FOR SOLID PROPELLANTS

作者

黃耀新(Yao-Hsin Hwang);江仲驊(Chung-Hua Chiang)

关键词

燃面退化 ; 最小距離法 ; 不均勻燃燒速率 ; 最小時間法 ; 內彈道分析 ; Surface tracking ; least distance method ; least time method ; fast marching ; internal ballistic analysis

期刊名称

技術學刊

卷期/出版年月

34卷4期(2019 / 12 / 01)

页次

203 - 215

内容语文

繁體中文

中文摘要

本文主要發展應用於固體火箭發動機推進劑退化燃面的模擬分析方法,運用最小距離法的特性,進一步發展適用於非均勻燃燒速率問題的最小時間法,經由數值分析與案例驗證,說明此方法確實可作為模擬固體火箭發動機內彈道性能及應用於多維燃燒室流場模擬分析的基礎工具。

英文摘要

In this study, the efficient numerical method has been proposed to simulate the internal ballistic of a solid rocket motor (SRM) with multiple propellants. The essential feature for this method is depicted by transforming the original initial-value-problem for the solid propellant surface regression into an associated boundary-value-problem which can be described by the Eikonal equation. A fixed mesh covering simulation domain is established. The solution variable is taken as the arrival time of the burning surface. At first, the arrival time is estimated from the initial burning surface which is then reconstructed with the updated arrival time as the simulation time evolves. Meanwhile, active / inactive regions can be distinguished from the existing burn surface to enhance computational efficiency. The flow-field in the solid-propellant combustor can be simultaneously solved with the proposed surface regression model in a coupled manner. By examining theoretical results from the physical model and computational results of the test problems, we are confident that the proposed numerical methodology can serve as an effective tool for the SRM grain design.

主题分类 工程學 > 工程學綜合
参考文献
  1. Davenas, A.(ed.)(1992).Solid Rocket Propulsion Technology.New York:Pergamon.
  2. Feynman, R. P.,Leighton, R. B.,Sands, M.(1989).The Feynman Lectures on Physics.New York:Addison-Wesley Publishing Co..
  3. Hartfield, R.,Jenkins, P.,Burkhalter, J.,Foster, W.(2003).A Review of Analytical Methods for Solid Rocket Motor Grain Analysis.Proceedings of 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
  4. Hartfield, R.,Jenkins, R.,Burkhalter, J.,Foster, W.(2004).Analytical Methods for Predicting Grain Regression in Tactical Solid-Rocket Motors.Journal of Spacecraft and Rockets,41(4),689-693.
  5. Hermsen, R. W.,Lamberty, J. T., Jr.,McCormick, R. E.(1987).Hermsen, R. W., J. T. Jr. Lamberty, and R. E. McCormick. 1987. Volume V: User’s Manual for the SPP Grain Design and Ballistics Modules. The Solid Propellant Rocket Motor Performance Computer Program (SPP) Version 6.0. Carson City: Software and Engineering Associates..
  6. Hirt, C. W.,Nichols, B. D.(1981).Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries.Journal of Computational Physics,39(1),201-225.
  7. Hwang, Y. H.,Chiang, C. H.(2015).Simple Surface-Tracking Methods for Grain Burnback Analysis.Journal of Propulsion and Power,31(5),1436-1444.
  8. LeVeque, R. J.,Li, Z.(1997).Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension.SIAM Journal of Scientific Computation,18(3),709-735.
  9. Qian, J.,Tryggvason, G.,Law, C. K.(1998).A Front Tracking Method for the Motion of Premixed Flames.Journal of Computational Physics,144(1),52-69.
  10. Sethian, J. A.(1999).Level Set Methods and Fast Marching Methods.Cambridge, England:Cambridge University Press.
  11. Sutton, G. P.(1992).Rocket Propulsion Elements: An Introduction to the Engineering of Rockets.New York:John Wiley & Sons.
  12. Udaykumar, H. S.,Mittal, R.,Shyy, W.(1999).Computation of Solid-Liquid Phase Fronts in the Sharp Interface Limit on Fixed Grid.Journal of Computational Physics,153(2),535-574.
  13. Willcox, M. A.,Brewster, M. Q.,Tang, K. C.,Stewart, D. C.(2007).Solid Propellant Grain Design and Burnback Simulation Using a Minimum Distance Function.Journal of Propulsion and Power,23(2),465-475.
  14. Willcox, M. A.,Brewster, M. Q.,Tang, K. C.,Stewart, D. C.,Kuznetsov, I.(2007).Solid Rocket Motor Internal Ballistics Simulation Using Three-Dimensional Grain Burnback.Journal of Propulsion and Power,23(3),575-584.
  15. Yildirim, C.,Aksel, M. H.(2005).Numerical Simulation of the Grain Burnback in Solid Propellant Rocket Motor.Proceedings of 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit