There is a paper on Added mass co-efficient for a 2D floating body in heave motion [Reference: Grim. O "Die Schwingungen Von Schwimmender Zweidimensionalen", korpern, HSVA, Report 171,1959] but sorry to say that is in 'German language'.

So that will be nice of you if you help me to find another article or any theoretical source.

(Thanks)

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