Potential Function and Vector Algebraic Integral Method of Additional Pressure Drops in Arbitrary Pipes under Ocean Conditions
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摘要: 在海洋条件下,由于管道平移和摇摆运动会引入附加的体积力作用而产生附加压降。为了获得具有普遍适用性和便于应用的附加压降理论计算结果,从非惯性坐标系下流体动力学动量方程出发,将管道运动划分为平移和摇摆运动方式,应用流体力学势函数分析方法分别获得平移运动和摇摆运动离心力产生的附加压降计算关系式。根据附加压降物理定义,将管道摇摆运动划分为正交摇摆、平行摇摆2种基本方式,采用矢量代数积分方法获得摇摆运动切向力产生的附加压降计算关系式,并讨论了这些关系式的适用性。理论分析结果表明,海洋条件下任意管道内各项附加压降都可得到精确求解。Abstract: Pipe parallel and rolling motions will result in additional pressure drops because of the intro-duction of additional body forces under ocean conditions.To obtain universal and convenient analytical solu-tions to additional pressure drops,this paper starts with the hydrodynamic momentum equation in the non-inertial frame.The pipe motion is divided into parallel motion and rolling motion.The analytical solu-tions to additional pressure drops respectively induced by parallel motion and rolling centrifugal force are achieved by means of hydrodynamics potential function analysis.This paper also starts with mathematical and physical definitions of additional pressure drops.The pipe rolling motion is divided into vertical rolling and parallel rolling.The analytical solution to additional pressure drops induced by rolling tangential force is achieved by using the vector algebraic integral method.Finally,the applicability of these solutions is dis-cussed.The analytical results show that each additional pressure drop in an arbitrary pipe under ocean condi-tions can be resolved accurately.
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