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Optimal matching investigation of marine contra-rotating propellers for energy consumption minimization

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Abstract

To minimize the energy consumption of contra-rotating propellers (CRPs), the optimal matched rotational speeds of the forward propeller (FP) and rear propeller (RP) of CRP are investigated based on the potential-based panel method. The optimal matching problem of a set of CRP405 is investigated. The open-water hydrodynamic performances of CRP405 with the FP and RP having the same rotational speed are calculated and the method is validated. The hydrodynamic characteristics of CRP405 with changing FP and RP rotational speeds are investigated. The cubic spline interpolation method is used to determine the equal thrust line at which CRP405 generates the target thrust while keeping the inflow velocity constant. A series of equal thrust points on the equal thrust line is selected for the analysis of the delivered power. The rotational speeds of the FP and RP corresponding to the minimal delivered power are the optimal matched rotational speeds of CRP405. The optimal matching calculations are carried out at different inflow velocities. The results show that, under the condition of a low inflow velocity, properly increasing the rotational speed of the FP and decreasing the rotational speed of the RP are the most direct and efficient ways to reduce the energy consumption and avoid the negative effect of the net torque of the CRP on the transverse stability.

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Abbreviations

\(\rho\) :

Water density

\(V_{0}\) :

Inflow velocity

\(D_{F}\) :

Diameter of the FP

\(D_{R}\) :

Diameter of the RP

\(n_{F}\) :

Rotational speed of the FP

\(n_{R}\) :

Rotational speed of the RP

\(Q_{F}\) :

Torque of the FP

\(Q_{R}\) :

Torque of the RP

\(T_{F}\) :

Thrust of the FP

\(T_{R}\) :

Thrust of the RP

\(T_{S} = T_{F} + T_{R}\) :

Total thrust of CRP

\(P_{{{\text{d}}F}} = 2\pi Q_{F} \cdot n_{F}\) :

Delivered power of the FP

\(P_{{{\text{d}}R}} = 2\pi Q_{R} \cdot n_{R}\) :

Delivered power of the RP

\(P_{{{\text{d}}S}} = P_{{{\text{d}}F}} + P_{{{\text{d}}R}}\) :

Total delivered power of CRP

\(K_{TF} = \frac{{T_{F} }}{{\rho n_{F}^{2} D_{F}^{4} }}\) :

Thrust coefficient of the FP

\(K_{TR} = \frac{{T_{R} }}{{\rho n_{F}^{2} D_{F}^{4} }}\) :

Thrust coefficient of the RP

\(K_{QF} = \frac{{Q_{F} }}{{\rho n_{F}^{2} D_{F}^{5} }}\) :

Torque coefficient of the FP

\(K_{QR} = \frac{{Q_{R} }}{{\rho n_{F}^{2} D_{F}^{5} }}\) :

Torque coefficient of the RP

\(J = \frac{{V_{0} }}{{n_{F} D_{F} }}\) :

Advance coefficient

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Acknowledgement

This research is financially supported by the Liaoning Provincial Natural Science Foundation of China (Grant No. 2019ZD0161).

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Authors and Affiliations

  1. School of Naval Architecture and Ocean Engineering, Dalian Maritime University, Dalian, Liaoning, China

    Lixun Hou, Linlin Yin, Ankang Hu, Xin Chang & Shun Wang

  2. Design Management Department, CNNP Oceanic Nuclear Power Development Co., Ltd, Shanghai, 200233, China

    Yi Lin

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  1. Lixun Hou
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  2. Linlin Yin
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  4. Xin Chang
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Correspondence to Lixun Hou.

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Hou, L., Yin, L., Hu, A. et al. Optimal matching investigation of marine contra-rotating propellers for energy consumption minimization. J Mar Sci Technol 26, 1184–1197 (2021). https://doi.org/10.1007/s00773-021-00809-x

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