Exploring Fluid Resistance of Disk Rotor Based on Boundary Layer Theory
-
摘要: 基于边界层理论分析了盘形转子在液体中旋转运动受到的摩擦阻力,参考Prandtl-Schlichting公式设计了旋转转子的摩擦阻力系数,利用雷诺定律得到了转子单位面积上受到的摩擦阻力,并通过积分得到了转子受到的阻力矩计算公式。设计了盘形转子的流体阻力试验,利用试验数据对阻力矩公式中的待定系数进行了最小二乘法拟合。将拟合结果代入计算公式,得到的阻力矩计算结果与不同直径、不同厚度的转子在不同转速下的试验数据均能很好的吻合,说明所设计的转子摩擦阻力系数公式与获得的待定系数用以计算盘形转子的流体摩擦阻力矩是可行的。Abstract: The fluid resistance of a disk rotor rotating in a viscous flow field was analyzed based on the boundary layer theory. The friction resistance coefficient of the rotational rotor was obtained with the Prandtl-Schlichting formulas. The friction resistance per unit area was obtained with the Reynolds law and the formula for calculating the disk rotor's resistance moment was derived by computing its integral. The experiment on the disk rotor's fluid resistance was designed. The fluid resistance coefficients to be undetermined with the least squares method's curve fitting with the data were calculated with the formula, and the friction resistance moment calculation results agree well with the fluid resistance experimental data of all disk rotors that have different diameters, thicknesses and rotational speeds. The experimental results show that the friction resistance coefficient calculated with the formula derived and the fluid resistance coefficients for computing the disk rotor's resistance moment are feasible.
-
Key words:
- boundary layer theory /
- boundary layers /
- calculations
-
[1] 王曰义.海水冷却系统的腐蚀及其控制[M]. 北京:化学工业出版社,2006 Wang Y Y. The corrosion and control of seawater cooling system[M]. Beijing:Chemistry Industry Press, 2006(in Chinese) [2] 刘兴玉,段明德,李伦.旋转式冲刷腐蚀试验装置流场数值研究[J]. 机床与液压,2010,38(23):122-124 Liu X Y, Duan M D, Li L. Numerical simulation of the flow field in revolving erosion-corrosion test device[J]. Machine Tool & Hydraulics, 2010,38(23):122-124(in Chinese) [3] 陈斌,郭烈锦,杨晓刚.圆柱绕流的离散涡数值模拟[J]. 自然科学进展,2002,12(9):964-969 Chen B, Guo L J, Yang X G. Numerical simulation of the discrete vortex in flow around cylinder[J]. Progress in Natural Science, 2002,12(9):964-969(in Chinese) [4] Salaheldin T M, Imran J, Chaudhry M H. Numerical modeling of three-dimensional flow field around circular piers[J]. Journal of Hydraulic Engineering, 2004,130(2):91-100 [5] 袁寿其,朱兴业,李红,等.全射流喷头内部流场计算流体动力学数值模拟[J]. 农业机械学报,2005,36(10):46-49 Yuan S Q, Zhu X Y, Li H, et al. Numerical simulation of inner flow for complete fluidic sprinkler using computational fluid dynamics[J]. Transactions of the Chinese Society for Agricultural Machinery, 2005,36(10):46-49(in Chinese) [6] Duan Q. On the dynamics of Navier-Stokes equations for a shallow water model[J]. Journal of Differential Equations, 2011,250(6):2687-2714 [7] Karabelas S J, Koumroglou B C, Argyropoulos C D, et al. High Reynolds number turbulent flow past a rotating cylinder[J]. Applied Mathematical Modelling, 2012,36(1):379-398 [8] 董双岭,吴颂平.圆柱绕流尾迹中涡的特征分析[J]. 北京航空航天大学学报,2009,35(6):758-761 Dong S L, Wu S P. Characteristic analysis of the vortex in the flow past a circular cylinder[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009,35(6):758-761(in Chinese) [9] Zhang C, Pan C, Wang J J. Evolution of vortex structure in boundary layer transition induced by roughness elements[J]. Experiments in Fluids, 2011,51(5):1343-1352 [10] 陈国钧,曾凡明.现代舰船轮机工程[M]. 长沙:国防科技大学出版社,2001 Chen G J, Zeng F M. Modern marine engineering[M]. Changsha:National University of Defense Technology Press, 2001(in Chinese) [11] 应业炬.船舶快速性[M]. 北京:人民交通出版社,2007 Ying Y J. Shipping rapidity[M]. Beijing:China Communications Press, 2007(in Chinese) [12] 庞佑霞,刘厚才,郭源君.考虑边界层的水泵叶片冲蚀磨损机理研究[J]. 机械工程学报,2002,38(6):123-126 Pang Y X, Liu H C, Guo Y J. Study on the mechanism of erosion wear of the pump blade considering boundary layer[J]. Chinese Journal of Mechanical Engineering, 2002,38(6):123-126(in Chinese) [13] 郭维东.流体力学[M]. 北京:中国农业出版社,2009 Guo W D. Fluid mechanics[M]. Beijing:China Agriculture Press, 2009(in Chinese) [14] 史里希廷 H. 边界层理论-上册[M]. 徐燕侯译.北京:科学出版社,1988 Schlichting H. Boundary-layer theory Vol.1[M]. Translated by Xu Y H. Beijing:Science Press, 1988(in Chinese) [15] 史里希廷 H. 边界层理论-下册[M]. 徐燕侯译.北京:科学出版社,1991 Schlichting H. Boundary-layer theory Vol.2[M]. Translated by Xu Y H. Beijing:Science Press, 1991(in Chinese) [16] 张德丰,周燕.详解MATLAB在统计与工程数据分析中的应用[M]. 北京:电子工业出版社,2010 Zhang D F, Zhou Y. Detailed explain MATLAB using in statistics and engineering data analysis[M]. Beijing:Publishing House of Electronics Industry, 2010(in Chinese)
点击查看大图
计量
- 文章访问数: 153
- HTML全文浏览量: 22
- PDF下载量: 8
- 被引次数: 0