Abstract
To predict the effect of the uniform gradient stream, the hydrodynamic force acting on a translating solid is studied following the Newman method. Some new hydrodynamic force formulas that are valid in both two-dimensional and three-dimensional flow are proposed. A new and efficient velocity-vector based method is proposed to compute the added mass that is required in the new formulas. Abundant numerical examples are designed to check the correctness of the new formulas and the validity of the Newman hypothesis adopted during the proof. Comparison with classical results shows that the formula proposed by Taylor and Newman are only two special cases of the present study. Comparison with some recent studies are also studied and their rationality is analyzed.
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