A note on added mass of a group of sections in confined fluid: a general conclusion

The added mass of a group of circular sections in a confined fluid has been studied in many references. This note revisits this problem and aims to reveal some essential results that have not been well studied previously but indicate a general conclusion of the added mass coefficients. The sum of the added mass coefficients of one section caused by all boundaries’ motions along the same direction is equal to the constant value \(-1\); however, the sum of the coefficients perpendicular to the motion direction is the constant value 0. Given this conclusion, this present study extends the previous models to a group of arbitrary sections in a confined fluid for a more general analysis. The conclusion mentioned above is still available for the present modeling and shows generality. According to the principle of superposition, this paper gives concise and strict proof of this conclusion. This general conclusion of fluid added mass can serve as an essential reference for other studies of such a problem.