Potential Function and Vector Algebraic Integral Method of Additional Pressure Drops in Arbitrary Pipes under Ocean Conditions

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.