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 引用本文: 王睿, 熊鹰, 王展智. 混合式CRP面元法计算对比[J]. 力学学报, 2016, 48(6): 1425-1436.
Wang Rui, Xiong Ying, Wang Zhanzhi. COMPARATIVE STUDY ON SURFACE PANEL METHOD FOR THE HYDRODYNAMIC ANALYSIS OF HYBRID CONTRA-ROTATING SHAFT POD PROPULSOR[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1425-1436.
 Citation: Wang Rui, Xiong Ying, Wang Zhanzhi. COMPARATIVE STUDY ON SURFACE PANEL METHOD FOR THE HYDRODYNAMIC ANALYSIS OF HYBRID CONTRA-ROTATING SHAFT POD PROPULSOR[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(6): 1425-1436.

## COMPARATIVE STUDY ON SURFACE PANEL METHOD FOR THE HYDRODYNAMIC ANALYSIS OF HYBRID CONTRA-ROTATING SHAFT POD PROPULSOR

• 摘要: 目前，对于混合式CRP（contra-rotating propeller）的数值研究大部分是基于黏流方法，这主要是由于混合式CRP组成构件较多，运用势流方法求解存在一定的困难.但势流方法求解效率较高，在混合式CRP的设计方面，具有独特的优势.为建立混合式CRP的高效数值分析方法，从而为混合式CRP的设计工作奠定基础，研究首先将混合式CRP分成前桨和吊舱推进器两部分，以单个螺旋桨面元法和吊舱推进器整体面元法为基础，建立了混合式CRP的迭代面元法.随后对混合式CRP的几何结构以及桨叶面元奇点强度的变化特点进行分析，提出了将混合式CRP各构件进行整体计算的面元法，推导了整体面元法的计算公式.编译完成迭代面元法以及整体面元法的计算程序，并对混合式CRP的敞水性能进行了计算分析，两种面元法的计算结果与试验值的对比表明：迭代面元法与整体面元法计算得到的推力、扭矩系数相对误差均能控制在5%以内，但整体面元法的计算时间比迭代面元法节约1/3左右，同时整体面元法省去了迭代步骤，适宜于混合式CRP的设计.最后对研究中所建立的整体面元法的理论误差进行了分析.

Abstract: The present numerical study for the performance analysis of HCRSP (hybrid contra-rotating shaft pod) propulsor is based on the viscous flow method due to the structure complexity and the lacking of effectively potential flow method. In order to developing an effcient numerical method for the performance analysis of HCRSP propulsor, the HCRSP propulsor was divided into two parts, a single forward propeller and an aft podded propulsor. Then an iterative surface panel method was presented based on the single propeller surface panel method and podded propulsor integral panel method. The geometry characteristic and panel singularity strength of HCRSP propulsor were then analyzed, and an integral panel method was presented to treat HCRSP propulsor as a unit. The control equations of the integral panel method were derived in detail, and numerical solution program was developed. Based on these studies, the open water performance of an HCRSP propulsor was analyzed by iterative panel method and integral panel method. Numerical results were compared with experimental data and show that the relative result error of the two surface panel method are all within 5%, but the calculation time of integral panel method is about two thirds of that of iterative method. The integral panel method is more suitable in the design of HCRSP propulsor due to its calculation without iterative process. In the last, the error sources of integral panel method were discussed.

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