An investigation is conducted on radiation of a submerged hollow sphere with an opening hole in finite water depth in this article. Based on the linear theory, the method of multipole expansions is used to obtain the fluid velocity potential in the form of double series of the associated Legendre functions with the unknown coefficients of an infinite set. In terms of the body surface boundary condition and the matching condition between the inner and outer flows at the hole, the complex matrix equations for the coefficients of the series are established. The infinite sets of matrix equations are solved by truncating the series at a finite number. Subsequently, the added mass and radiation damping, associated with the periodic heave motion of a submerged sphere, are evaluated numerically.
Dong, Man-sheng; Miao, Guo-ping; Fan, Ju; and Zhu, Ren-chuan
"SEMI-ANALYTICAL SOLUTION FOR RADIATION OF A HOLLOW SPHERE WITH AN OPENING HOLE IN FINITE DEPTH,"
Journal of Marine Science and Technology: Vol. 20:
1, Article 10.
Available at: https://jmstt.ntou.edu.tw/journal/vol20/iss1/10