A design method for wake-adapted contra-rotating propellers (CRPs) with optimal circulation distribution was presented based on the vortex lattice model in lifting surface theory. The implicit relations of propeller thrust and torque with the radial circulation distributions of CRPs were modelled via neural network, where the input data for training of the neural network were yielded from an in-house vortex-lattice code. Subject to the requirements for total thrust and torque-balance, a genetic algorithm was employed to optimize the radial circulation distributions of the forward and aft propellers to maximize the total efficiency. Taking the optimal radial circulation distributions and a prescribed chordwise distribution of circulation as the objective, the camber surface geometries and pitch distributions of the forward and aft propellers were designed. Numerical example was presented with the CRPs for a high-speed underwater vehicle, and the design results were then validated in self-propulsion simulation by solving the unsteady RANS equations. While the efficiency and torque-balance of the designed CRPs are slightly improved against the prototype, the minimum pressure values on blade surfaces are significantly increased, which is favorable for retarding the inception of cavitation.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |