URANS COMPUTATION OF CAVITATING FLOWS AROUND SKEWED PROPELLERS

Cavitating flows around skewed propellers are investigated numerically by means of the unsteady Reynolds Averaged Navier-Stokes (RANS) Equation method. The standard k-ε turbulence and the modified Z-G-B cavitation models are employed. A measured nominal wake is used for the inlet velocity boundary condition. Predicted cavitating evolution processes and tip cavity patterns are compared with experimental observations. In addition, the influence of the skew angles on the cavitation and unsteadiness performances of propellers operating in a non-uniform wake is also studied. Results show that the modified Z-G-B cavitation model performs better to simulate the cavitating flow cases studied in this paper. Comparisons demonstrate that the skewed propeller with a skew angle of 20 o is the best choice for a given stern wake with a assigned thrust and the minimum force fluctuations.     

拖式吊舱螺旋桨定常性能理论计算

本文提出拖式吊舱螺旋桨(螺旋桨位于吊舱首部)定常水动力性能的势流理论计算方法。螺旋桨采用升力面理论涡格法、吊舱采用面元法分析计算，二者的相互干扰通过叠代计算来处理。考虑吊舱的影响，修改了尾涡模型。应用本方法，计算了拖式吊舱螺旋桨的定常性能，并与空泡水筒试验结果进行了比较，计算与试验吻合良好。     

非均匀进流对螺旋桨空化水动力性能的影响

以全附体SUBOFF潜艇桨盘面处标称伴流作为七叶大侧斜桨的非均匀进流,分析了对空化引起的推力和力矩崩溃性能以及叶背梢涡空化初生的影响,描述了非均匀进流条件下空化时推力和力矩的脉动特征、桨叶空化面积和空化形态随周向位置的变化,并给出了伴流中螺旋桨是否出现叶面片空化的区间划分。空化模拟时采用改进Sauer空化模型和修正SST湍流模型。梢涡空化初生依据作者提出的当σ>σi时,叶截面压力系数分布不再改变的相对准则来判定。结果表明,伴流能够有效延迟该桨叶面片空化初生,但同时会使叶背片空化初生提前且空化范围明显增加;在对应敞水效率最高的工况点,伴流使得该桨因空化引起的推力下降起始点较均匀来流时提前量大于7.1%,且叶背梢涡空化初生提前量大于6.7%;即使在空化较为严重的情况下,该桨在伴流场中的推力和力矩脉动幅值也很小;由于桨叶旋向的影响,一周内桨叶空化面积对于艇尾左右舷空间并不完全对称。研究结果可用于分析大侧斜使艇尾桨空化初始航速提高一定程度的现象。     

NUMERICAL PREDICTION OF BLADE FREQUENCY NOISE OF CAVITA- TING PROPELLER

The blade frequency noise of a cavitating propeller in a uniform flow is analyzed in the time domain. The unsteady loading (of a dipole source) and the sheet cavity volume (of a monopole source) on the propeller surface are calculated by a potential-based surface panel method. Then the time-dependent pressure and the cavity volume data are used as the input for the Fowcs Williams-Hawkings formulation to predict the acoustics pressure. The integration of the noise source is performed over the true blade surface rather than the ideal blade surface without thickness. The noise characteristics of the cavitating propeller are discussed. With the sheet cavitation, the thickness (cavitation) noise is larger than the loading noise and is the dominant noise source.The noise directivity is not as clear as that of the noise under a non-cavitation condition. The cavitation noise is attenuated mores lowly than the non-cavitation noise.     

Numerical simulation of hull/propeller interaction of submarine in submergence and near surface conditions简

Hull/propeller interaction is of great importance for powering performance prediction. The features of hull/propeller interaction of a submarine model with a high-skew five blade propeller in submergence and near surface conditions are numerically simulated. The effect of propeller rotation is simulated by the sliding mesh technique. Free surface is captured by the volume of fluid （VOF） method. Computed results including resistance, thrust, torque and self-propulsion factor are compared with experimental data. It shows fairly good agreement. The resistance and wave pattern of the model at different depths of submergence are computed. And the thrust, torque and self-propulsion factor of the model in submergence and near surface condition are compared to analyze the effect of free surface on self-propulsion performance. The results indicate that free surface has more influence on resistance than that on self-propulsion factors.     

PREDICTION OF UNSTEADY CAVITATION OF PROPELLER USING SURFACE-PANEL METHOD

This paper has predicted the range and volume of unsteady sheet cavitation of a propeller by using the surface panel method. The linearization in cavity thickness is adopted to reduce the computing time and storage space. The iteration scheme between chordwise strips has been used because the range and volume of cavitation are both unknown. The propeller cavitation range determined by the calculation method presented in this paper agrees with the observation results of cavity image at cavitation tunnel very well, and this proves the practicability of the method.     

Marine propellers performance and flow-field prediction by a free-wake panel method

A Boundary Element Method （BEM） hydrodynamics combined with a flow-alignment technique to evaluate blades shed vorticity is presented and applied to a marine propeller in open water. Potentialities and drawbacks of this approach in capturing propeller performance, slipstream velocities, blade pressure distribution and pressure disturbance in the flow-field are highlighted by comparisons with available experiments and RANSE results. In particular, correlations between the shape of the convected vortex- sheet and the accuracy of BEM results are discussed throughout the paper. To this aim, the analysis of propeller thrust and torque is the starting point towards a detailed discussion on the capability of a 3-D free-wake BEM hydrodynamic approach to describe the local features of the flow-field behind the propeller disk, in view of applications to propulsive configurations where the shed wake plays a dominant role.     

NUMERICAL PREDICTION OF PROPELLER EXCITED ACOUSTIC RESPONSE OF SUBMARINE STRUCTURE BASED ON CFD,FEM AND BEM

A mesh-less Refined Integral Algorithm (RIA) of Boundary Element Method (BEM) is proposed to accurately solve the Helmholtz Integral Equation (HIE).The convergence behavior and the practicability of the method are validated.Computational Fluid Dynamics (CFD),Finite Element Method (FEM) and RIA are used to predict the propeller excited underwater noise of the submarine hull structure.Firstly the propeller and submarine’s flows are independently validated,then the self propulsion of the "submarine+propeller" system is simulated via CFD and the balanced point of the system is determined as well as the self propulsion factors.Secondly,the transient response of the "submarine+ propeller" system is analyzed at the balanced point,and the propeller thrust and torque excitations are calculated.Thirdly the thrust and the torque excitations of the propeller are loaded on the submarine,respectively,to calculate the acoustic response,and the sound power and the main peak frequencies are obtained.Results show that:(1) the thrust mainly excites the submarine axial mode and the high frequency area appears at the two conical-type ends,while the torque mainly excites the circumferential mode and the high frequency area appears at the broadside of the cylindrical section,but with rather smaller sound power and radiation efficiency than the former,(2) the main sound source appears at BPF and 2BPF and comes from the harmonic propeller excitations.So,the main attention should be paid on the thrust excitation control for the sound reduction of the propeller excited submarine structure.     

EXPERIMENTAL STUDY OF EFFECTS OF AIR CONTENT ON CAVITATION AND PRESSURE FLUCTUATIONS

This article studies the effects of air content on propeller cavitation and pressure fluctuations. The cavitation is observed while the pressure fluctuations on the hull are measured. When adjusting the air content, the sheet cavitation range does not change distinctly, but the pressure fluctuations see obvious differences. The amplitudes of the pressure fluctuations increase with the decrease of the air content. The results indicate that the air content has little effect on the sheet cavitation range but has an important effect on the bubble cavitation and the tip vortex cavitation. When the air content decreases, the water tensile force increases, which results in the instability of the bubble cavitation and the tip vortex cavitation and the increase of the pressure fluctuations. To minimize the scale effects, the experiments should be run at a high Reynolds number with a high nuclei content. The high Reynolds number is often realized by increasing the flow velocity and the propeller rotation speed, and the high nuclei content is often made by increasing the dissolved air content.     

ON THE RELATION BETWEEN CAVITATION INCEPTION AND FLOW PATTERN ON PROPELLER BLADES

Oil flow visuallization on the model propellers with and without tripping devices atthe leading edge is revealed in this paper. Roughing leading edge with sand blasting was to simu-late the flow at full-scale condition. The observations of cavitation inception and the detection ofcavitation erosion were made in uniform and non-uniform flow respectively so as to consider theeffects of flow pattern on cavitation inception and to investigate the causes of difference in thelocations of cavitation erosion between model propeller and prototype. In addition, calculationsof the pressure distributions and the behaviour of boundary layer on the propeller blade were alsodone by using theoretical method. It is necessary to gain a better understanding of cavitation in-ception of the propeller.     

An integral calculation approach for numerical simulation of cavitating flow around a marine propeller behind the ship hull

In this paper, the unsteady cavitating turbulent flow around a marine propeller is simulated based on the unsteady Reynolds averaged Navier-Stokes(URANS) with emphasis on the hull-propeller interaction by an integral calculation approach, which means the propeller and hull are treated as a whole when the cavitating flow is calculated. The whole calculational domain is split to an inner rotating domain containing a propeller and an outer domain containing a hull. And the two split sections are connected together in ANSYS CFX by using the GGI interfaces and the transient rotor stator frame change/mixing model. The alternate rotation model is employed for the advection term in the momentum equations in order to reduce the numerical error. Comparison of predictions with measurements shows that the propeller thrust coefficient can be predicted satisfactorily. The unsteady cavitating flow around the propeller behind the ship hull wake shows quasi-periodic features including cavity inception, growth and shrinking. These features are effectively reproduced in the simulations which compare well to available experimental data. In addition, significant pressure fluctuations on the ship hull surface induced by the unsteady propeller cavitation are compared with experimental data at monitoring points on the hull surface. The predicted amplitudes of the first components corresponding to the first blade passing frequencies match well with the experimental data. The maximum error between the predictions and the experimental data for the pressure pulsations is around 8%, which is acceptable in most engineering applications.     

PREDICTION OF PODDED PROPELLER CAVITATION USING AN UNSTEADY SURFACE PANEL METHOD

The unsteady sheet cavitation of podded propeller was predicted by using a surface panel method. The interaction between propeller and pod was treated with the iterative calculation of induced velocity potential, and the method of induced velocity potential can save a great deal of storage and computation time compared to the method of induced velocity. The induced velocity potential of unit singularity on every pod panel to every key blade panel and of unit singularity on every key blade panel and its wake panel to every pod panel were calculated when the key blade is at every angle position. Based on the wake model of the conventional single propeller, a new wake model of podded propeller was constructed. The propeller is analyzed only on the key blade in order to save computation time and memory space. The method can be used to calculate the hydrodynamics performance and cavitation of propeller in uniform and non-uniform inflows. It can give the unsteady force and cavitation shape of propeller. The propeller cavitation range determined by the present method agrees with the observation results of cavity image given in cavitation tunnel well, and this proves the practicability of the method.     

大型集装箱船上大侧斜螺旋桨模型脉动压力的比较试验研究

对一艘大型集装箱船，按图谱方法设计了一个常规桨，在相同的设计条件下按升力面方法设计了两个不同侧斜角的大侧斜桨。三个桨模在中国船舶科学研究中心大型空泡水筒中用假船尾加网格模拟的伴流场中进行了脉动压力测量。测量结果表明：大侧斜桨与常规桨比较可以明显地降低螺旋桨对船体诱导的脉动压力，下降幅度达３０％左右。     

VISCOUS SCALE EFFECTS ON PROPELLER TIP VORTEX CAVITATION

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带自由液面的艇/桨干扰特性数值模拟与验证研究

带自由液面的艇/桨干扰特性研究是水动力学领域的重点与难点.此文采用数值模拟方法研究了潜艇近水面航行时的艇/桨干扰特性.首先介绍了计算方法:流场采用RANS方法结合RNGk -ε湍流模型求解;自由液面捕捉采用VOF方法;螺旋桨运转采用滑移网格方法;带螺旋桨潜艇表面与计算域内全部采用结构化网格进行离散.然后,对于SUBOFF潜艇模型在不同浸深下的阻力特性进行了数值模拟,分析了自由液面对于模型阻力的定量影响.最后,对于带螺旋桨的SUBOFF潜艇模型在深潜与近水面状态下的艇后推力、扭矩进行了数值模拟,分析了自航因子,研究了艇/桨干扰特性.计算结果与试验结果进行了详细的对比分析,验证了计算方法与计算结果的可靠性.本文的工作可为将来构建数值拖曳水池提供技术支撑.     

螺旋桨非定常力的黏性数值分析

基于黏流的数值模拟技术在非均匀来流情况下对DTMB P4119桨所受的非定常力进行了分析.该桨已在DTMB用给定的非均匀轴向进流场做过非定常水动力测量,故本文计算用该进流场作为进流条件并把该试验结果用来验证.计算过程分析了网格数的收敛性. 非定常力的计算的预报结果,明显地反映了1阶,2阶及3阶叶频的轴承力幅值与进流阶调的耦合效应.通过计算结果与试验结果的对比,不论是非定常力的演变特征还是脉动幅度都与试验结果吻合良好.通过简单定性分析认为通过计算得到的非定常力预报螺旋桨线谱噪声误差将在3dB以内,比较理想.     

The design of propeller and propeller boss cap fins (PBCF) by an integrative method

Generally, after a marine propeller design, the propeller boss cap fins (PBCF) design concerns with an optimal selection of model test results, without a due consideration of the interaction between the PBCF and the propeller. In this paper, the PBCF and the propeller are considered as a whole system with their design as an integrative process, in which the concept of the increased loading in the blade root is incorporated. The load distribution on the blade becomes well-proportioned due to the increased loading in the blade root, and it is advantageous to the reduction of the vibratory force and the blade tip vortex. The blade root area is stronger in withstanding forces, and is not easy to be vibrated, therefore, the increased loading there is beneficial to the noise reduction. The disadvantage of the increased loading in the blade root is the generation of the hub vortex behind the boss cap, but the hub vortex can be broken up by the energy saving hydrodynamic mechanism of the PBCF. The integrative design method introduced in this paper can provide a higher efficiency for propellers under the same design conditions. In this paper, an integrative propeller and PBCF design method including the theoretical design and the numerical optimization design is proposed, based on the potential flow theory, the CFD tools, the improved particle swarm optimization algorithm, and the model tests. A propeller with the PBCF is designed based on the method of integrated increased loading in the blade root for a cargo vessel in this paper. The cavitation tunnel model test results show that the propeller and the PBCF thus designed enjoys a higher efficiency, and the design method is effective, reliable and practical.     

高负荷螺旋桨水动力性能试验研究

以某大型集装箱船高负荷螺旋桨为研究对象,分别采用大侧斜、反弯扭叶片和毂帽鳍等技术进行螺旋桨优化设计,以改善螺旋桨的空泡和水动力性能.设计了5型螺旋桨,分别在空泡水筒进行了模拟伴流场中的空泡和激振力试验,并在拖曳水池进行了敞水试验.试验结果表明,采用大侧斜可有效减小螺旋桨诱导船艉激振力;反弯扭叶片螺旋桨空泡性能较好,有较低的螺旋桨诱导船艉激振力水平;桨毂帽鳍可改善毂涡空泡,模型试验状态下可提高推进效率2%左右.     

HYDRODYNAMIC DESIGN METHOD FOR HIGHLY SKEWED PROPELLER AND ITS VALIDATION

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THE NUMERICAL CALCULATION FOR THE STERN FLOW OF THREE DIMENSIONAL SURFACE SHIP WITH MULTI-PRO-PELLERS IN OPERATION

In this paper the complex structure and pattern of ship stern flow driven by multi-propellers is simulated numerically by using RANS equations with K-ε turbulence model and propeller lifting surface theory as essential research tool and coupling the computer code of ship stern flow to the computer code of propeller performance prediction through the medium of body force.A ship model with four propellers is selected as the numerical example.Detailed computational results are presented graphically and the qualitative and quantitative analysis is made. Finally,the comparison between the calculated result and the available experimental data is made.The agreement between them is satisfactory.