Abstract

In this study, a Reynolds averaged Navier-Stokes solver is used for prediction of the propeller performance in open-water conditions at different Reynolds numbers ranging from 104 to 107. The k−ω SST turbulence model and the γ−R˜eθt correlation-based transition model are utilised and results compared for a conventional marine propeller. First, the selection of the turbulence inlet quantities for different flow regimes is discussed. Then, an analysis of the iterative and discretisation errors is made. This work is followed by an investigation of the predicted propeller flow at variable Reynolds numbers. Finally, the propeller scale-effects and the influence of the turbulence and transition models on the performance prediction are discussed. The variation of the flow regime showed an increase in thrust and decrease in torque for increasing Reynolds number. From the comparison between the turbulence model and the transition model, different flow solutions are obtained for the Reynolds numbers between 105 and 106, affecting the scale-effects prediction.

Highlights

  • Reynolds-averaged Navier-Stokes (RANS) EquationsThe flow simulation is based on the solution of the RANS equations. We introduce two reference frames: an inertial earth-fixed reference frame ( X, Y, Z ) or Xi with (i = 1, 2, 3), and a non-inertial propeller-fixed reference frame ( x, y, z) or xi , which is rotating with constant angular velocity Ω

  • MARETEC—Marine, Environment and Technology Centre, LARSyS, Instituto Superior Técnico, MARIN—Maritime Research Institute Netherlands, 2 Haagsteeg, 6708 PM Wageningen, The Netherlands; Abstract: In this study, a Reynolds averaged Navier-Stokes solver is used for prediction of the propeller performance in open-water conditions at different Reynolds numbers ranging from 104 to

  • In this paper viscous flow calculations using a Reynolds-averaged Navier-Stokes (RANS) code are presented for a marine propeller in open-water conditions at different Reynolds numbers ranging from 104 to

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Summary

RANS Equations

The flow simulation is based on the solution of the RANS equations. We introduce two reference frames: an inertial earth-fixed reference frame ( X, Y, Z ) or Xi with (i = 1, 2, 3), and a non-inertial propeller-fixed reference frame ( x, y, z) or xi , which is rotating with constant angular velocity Ω. The γ − Reθt correlation-based transition model proposed by Langtry and Menter [19] is selected for transition prediction This transition model contains two transport equations and accounts for transition due to free-stream turbulence intensity, pressure gradients and separation. We note that the definitions of production and dissipation terms of the k-equation, and the blending function F1 change due to the coupling with the γ − Reθt transition model. To understand the influence of the non Galilean invariant terms in the prediction of transitional flows, the solution of the RANS equations written in the propeller-fixed reference frame have been compared with the solution of the RANS equations written in a earth-fixed reference frame. The effect of cross-flow instability as a transition mechanism is not taken into account in the RANS predictions, since the various proposed models [43,44,45] are not Galilean invariants due to the explicit use of the velocity vector

Inflow Turbulence Quantities
Solver
Propeller Geometry
Grid Sets
Computational Domain and Boundary Conditions
General
Estimation of Numerical Errors
Influence of Inlet Turbulence Quantities
Flow Analysis
Performance Prediction
Conclusions

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