Abstract
The objective of the paper is to propose the empirical formulas of the entrained water effect based on numerical method to estimate the virtual mass and the virtual moment of inertia for tandem propellers. The fluid-solid interaction of combined propellers in the flow field has been taken into consideration in the calculation. The axial added mass and the added moment of inertia of the entrained water are calculated for a single propeller using the finite element method and the existing empirical formulas to verify the feasibility and accuracy of numerical method. Consequently, the numerical calculation of tandem propellers is conducted to obtain the novel empirical formulas of entrained water properties, which are available to evaluate the influence of the blade diameter, the expanded area ratio and the pitch/diameter ratio. The corresponding correction coefficients in the empirical formulas considering the entrained water effect of tandem propellers are given. The empirical formulas are beneficial to relevant practical engineering calculation of entrained water properties for combined propellers.
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