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收缩喷嘴中的湍流Ⅰ——边界层解
引用本文:R·马达核安,B·法哈涅,B·费入扎巴迪,吴承平.收缩喷嘴中的湍流Ⅰ——边界层解[J].应用数学和力学,2011,32(5).
作者姓名:R·马达核安  B·法哈涅  B·费入扎巴迪  吴承平
作者单位:沙力夫理工大学机械工程学院能源转换中心,P.O.Box 11365-9567,德黑兰,伊朗
摘    要:应用边界层积分法,研究锥形喷嘴入口区域中湍动涡流的发展.球面坐标系中的控制方程,通过边界层的假定得到简化,并对边界层进行了积分.应用4阶Adams预测校正法求解该微分方程组.入口区域的切向和轴向速度,分别应用自由涡流和均匀速度分布来表示.由于缺乏收缩喷嘴中涡流的实验数据,需要用数值模拟对该发展模式进行逆向验证.数值模拟的结果证明,该解析模型在预测边界层参数中的能力,例如边界层的生长、剪切率和边界层厚度,以及不同锥度角时的涡流强度衰减率等.为所提出的方法引进一个简明而有效的程序,用以研究几何形状收缩设备内的边界层参数.

关 键 词:涡流  收缩喷嘴  涡流强度衰减率  边界层积分法  解析解  

Turbulent Flow in Converging Nozzles Part(Ⅰ)-Boundary Layer Solution
Reza Maddahian,Bijan Farhanieh,Bahar Firoozabadi.Turbulent Flow in Converging Nozzles Part(Ⅰ)-Boundary Layer Solution[J].Applied Mathematics and Mechanics,2011,32(5).
Authors:Reza Maddahian  Bijan Farhanieh  Bahar Firoozabadi
Institution:Reza Maddahian,Bijan Farhanieh,Bahar Firoozabadi(Center of Excellence in Energy Conversion,School of Mechanical Engineering,Sharif University of Technology,Tehran,P.O.Box: 11365-9567,Iran)
Abstract:In this research the boundary layer integral method was used to investigate the development of turbulent swirling flow at the entrance region of a conical nozzle.The governing equations in the spherical coordinate system were simplified with the boundary layer assumptions and integrated through the boundary layer.The resulting sets of differential equations were then solved by the forth-order Adams predictor-corrector method.The free vortex and uniform velocity profiles were applied for tangential and axial...
Keywords:swirling flow  converging nozzle  swirl intensity decay rate  boundary layer integral method  analytical solution  
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