Investigation of Navigation Performance and Jet Flow Characteristics of Water-jet Propulsion Vessel in Shallow Water

doi:10.12382/bgxb.2024.0847

Abstract

Abstract:

The effect of shallow water on the navigation performance and jet flow characteristics of water-jet propulsion vessel is investigated,The navigation state of water-jet propulsion vessel and the patterns and mechanisms of jet flow under the conditions of different water depths are analyzed through numerical simulation.A numerical simulation method for the self-propulsion characteristics of water-jet propelled vessel is established using the Reynolds-averaged Navier-Stokes(RANS)equations to study the effect of water depth on the flow field around the vessel,jet flow morphology,and turbulence energy distribution.A regression prediction model for predicting the vessel behavior and jet flow characteristics is developed based on numerical calculations of vessel behavior and nozzle flow rates in different water depths.Results indicate that the shallow water blocking effects intensify as water depth decreases,increasing the differential pressure beneath the vessel and the stern inclination angle,while also increasing the recirculation velocity and draft around the hull.Additionally,the bow wave system grows and interacts with the stern wave system,leading to increased energy dissipation.The intersection point of jet flow and stern waves shifts forward with the decrease jn water depth,thus increasing the radial diffusion and vorticity,and decreasing the propulsive power,while increasing turbulence energy and water disturbance.These findings provide a scientific basis for the practical application of water-jet propulsion technology in shallow water conditions to improve the efficiency and safety of water-jet propelsion vessels in complex aquatic environments.

Key words: Propulsion vessel, water-jet propulsion, shallow water condition, navigation performance, jet flow, numerical simulation

YANG Xi, FENG Yukun, CHEN Zuogang, ZHANG Yan. Investigation of Navigation Performance and Jet Flow Characteristics of Water-jet Propulsion Vessel in Shallow Water[J]. Acta Armamentarii, 2024, 45(S2): 123-132.

Figures/Tables 23

Fig.1 Geometric model of water-jet propulsion vessel

Fig.2 Geometric model of water-jet propulsor (left: impeller and diffuser;right:duct)

Fig.3 Computational domain and boundary conditions

Fig.4 Surfacegrid of flow channel

Fig.5 Surfacegrid of vessel

Fig.6 Computationaldomain grid

Table 1 Three sets of grid sizes and numbers

网格编号	基础尺寸/m	网格数目/10⁶	升沉/ ×10^-2m	纵倾/ ×10^-1(°)
1	0.512	28.16	-0.780	-0.946
2	0.640	19.41	-0.774	-0.970
3	0.800	13.50	-0.764	-1.006

Fig.7 Variation of navigation state with grid number

Fig.8 Distribution of y+on the surface of vessel model

Table 2 Comparison of navigation states under different water depth conditions

h/T	纵倾/(°)	升沉/m
10	-0.1165	-0.0104
8	-0.1230	-0.0125
6	-0.1558	-0.0160
5	-0.1406	-0.0200
4	-0.2267	-0.0268
3.5	-0.3397	-0.0292
3	-0.5434	-0.0478
2.8	-1.0776	-0.0569
2.7	-1.4282	-0.0586
2.66	-1.6075	-0.0603

Fig.9 Variation curves of navigation state parameters of a water-jet propulsion vessel with water depth

Fig.10 Distribution ofbottom pressure of water-jet propulsion vessel under various water depth conditions

Fig.11 Velocity distribution in the longitudinal section ofvessel bottom under various water depth conditions

Fig.12 Wave-making waveforms of water-jet propulsion vessel under various water depth conditions

Table 3 Numerical Calculation results of jet flow parameters of water-jet propulsor under different water depth conditions

h/T	$K Q 1$	$K Q 2$	α_air1×10⁵	α_air2×10⁵
10	0.3173	0.3173	0.8454	0.9197
8	0.3168	0.3168	1.5579	1.3455
6	0.3181	0.3181	3.9487	0.3831
5	0.3162	0.3162	0.3796	0.2368
4	0.3172	0.3172	0.7127	0.5714
3.5	0.3180	0.3180	0.5351	0.4410
3	0.3174	0.3174	1.8878	0.5918
2.8	0.3193	0.3193	1.4315	0.2050
2.7	0.3241	0.3241	1.5776	0.5538
2.66	0.3260	0.3260	0.5424	0.5692

Table 3 Numerical Calculation results of jet flow parameters of water-jet propulsor under different water depth conditions

h/T	$K Q 1$	$K Q 2$	α_air1×10⁵	α_air2×10⁵
10	0.3173	0.3173	0.8454	0.9197
8	0.3168	0.3168	1.5579	1.3455
6	0.3181	0.3181	3.9487	0.3831
5	0.3162	0.3162	0.3796	0.2368
4	0.3172	0.3172	0.7127	0.5714
3.5	0.3180	0.3180	0.5351	0.4410
3	0.3174	0.3174	1.8878	0.5918
2.8	0.3193	0.3193	1.4315	0.2050
2.7	0.3241	0.3241	1.5776	0.5538
2.66	0.3260	0.3260	0.5424	0.5692

Fig.13 Cross-sectional flow coefficient of water-jet propulsor nozzle as a function of water depth

Fig.14 Jetflow morphology of water-jet propulsor under various water depth conditions

Fig.15 Jetflow lines of water-jet propelsor under various water depth conditions

Fig.16 Turbulent kinetic energies of jet flows of water-jet propelsors under different water depth conditions (Left:inner-side propelsor;Right: outer-side propelsor)

Table 4 Comparison of R2 results obtained from regression fitting of different GPR kernel functions

核函数	纵倾	升沉	$K Q 1$	$K Q 2$
指数核函数	1.0000	1.0000	1.0000	1.0000
RBF核函数	0.9999	1.0000	1.0000	1.0000
Matern核函数	0.9999	1.0000	1.0000	1.0000

Table 4 Comparison of R2 results obtained from regression fitting of different GPR kernel functions

核函数	纵倾	升沉	$K Q 1$	$K Q 2$
指数核函数	1.0000	1.0000	1.0000	1.0000
RBF核函数	0.9999	1.0000	1.0000	1.0000
Matern核函数	0.9999	1.0000	1.0000	1.0000

Fig.17 Regression fitting using GPR exponential kernel function

Table 5 Comparisonof numerical results and predicted results

参数	h/T=2.9		误差 /100%	h/T=4.5		误差 /100%
参数	数值结果	预测结果	误差 /100%	数值结果	预测结果	误差 /100%
纵倾	-0.8170	-0.8107	0.77	-0.1936	-0.1867	3.57
升沉	-0.0542	-0.0524	3.38	-0.0224	-0.0234	-4.72
$K Q 1$	0.3173	0.3182	-0.27	0.0110	0.3163	0.18
$K Q 2$	0.3169	0.3178	-0.27	0.0109	0.3154	0.00

Table 5 Comparisonof numerical results and predicted results

参数	h/T=2.9		误差 /100%	h/T=4.5		误差 /100%
参数	数值结果	预测结果	误差 /100%	数值结果	预测结果	误差 /100%
纵倾	-0.8170	-0.8107	0.77	-0.1936	-0.1867	3.57
升沉	-0.0542	-0.0524	3.38	-0.0224	-0.0234	-4.72
$K Q 1$	0.3173	0.3182	-0.27	0.0110	0.3163	0.18
$K Q 2$	0.3169	0.3178	-0.27	0.0109	0.3154	0.00

Fig.18 Regression prediction program for the navigation state and nozzle flow rate of a water-jet propulsion vessel model

References 15

[1]	WANG J H, LIU X J, WAN D C, et al. Numerical prediction of KCS self-propulsion in shallow water[C]// Proceedings of the Twenty-sixth(2016)International Ocean and Polar Engineering Conference.Rhodes,Greece:International Society of Offshore and Polar Engineers, 2016.
[2]	孙帅, 王超, 常欣, 等. 浅水效应对船舶阻力及流场特性的影响分析[J]. 哈尔滨工程大学学报, 2017, 38(4):499-505.
	SUN S, WANG C, CHANG X, et al. Analysis of the effect of shallow water on ship resistance and flow field characteristics[J]. Journal of Harbin Engineering University, 2017, 38(4):499-505. (in Chinese)
[3]	邓辉, 王尔力, 易文彬, 等. 阻塞效应显著的限制水域船舶水压场数值模型构建与应用[J]. 兵工学报. 2022, 43(3):605-616. doi: 10.12382/bgxb.2021.0106
	DENG H, WANG E L, YI W B, et al. Numerical model construction and application of ship hydrodynamic pressure field in restricted waters with significant blockage effects[J]. Acta Armamentarii, 2022, 43(3):605-616. (in Chinese)
[4]	PARK W, JANG J H, CHUN H H, et al. Numerical flow and performance analysis of waterjet propulsion system[J]. Ocean Engineering, 2005, 32(14):1740-1761.
[5]	潘中永, 吴涛涛, 潘希伟, 等. 斜流式泵喷水推进器内部流动不稳定性分析[J]. 华中科技大学学报(自然科学版), 2012, 40(9):118-121.
	PAN Z Y, WU T T, PAN X W, et al. Analysis of internal flow instability in diagonal flow pump-jet propulsors[J]. Journal of Huazhong University of Science and Technology(Natural Science Edition), 2012, 40(9):118-121. (in Chinese)
[6]	李鑫. 高速艇喷水推进器流场特性数值模拟[D]. 镇江: 江苏科技大学, 2013.
	LI X. Numerical simulation of flow field characteristics of waterjet propulsors for high-speed boats[D]. Zhenjiang: Jiangsu University of Science and Technology, 2013. (in Chinese)
[7]	常书平, 王永生, 庞之洋, 等. 进速比对喷水推进器进水流道性能影响研究[J]. 武汉理工大学学报(交通科学与工程版). 2010, 34(4):721-724.
	CHANG S P, WANG Y S, PANG Z W, et al. Study on the influence of advance ratio on the performance of the inlet flow passage of waterjet propulsors[J]. Journal of Wuhan University of Technology(Transportation Science & Engineering Edition), 2010, 34(4):721-724. (in Chinese)
[8]	岑春海. 喷水推进器倒车水斗流动特性及优化设计研究[D]. 镇江: 江苏大学, 2019.
	CEN C H. Study on flow characteristics and optimization design of reversing bucket in waterjet propulsors[D]. Zhenjiang: Jiangsu University, 2019. (in Chinese)
[9]	刘月伟. 来流含气条件下船用喷水推进器内部流动特性研究[D]. 镇江: 江苏大学, 2021.
	LIU Y W. Study on internal flow characteristics of marine waterjet propulsors under aerated inflow conditions[D]. Zhenjiang: Jiangsu University, 2021. (in Chinese)
[10]	王野, 陈慧岩, 汪泰霖, 等. 矢量喷水推进两栖车航行姿态的数值及试验分析[J]. 兵工学报, 2022, 43(12):3172-3185.
	WANG Y, CHEN H Y, WANG T L, et al. Numerical and experimental analysis of navigation attitude for amphibious vehicles with vector waterjet propulsion[J]. Acta Armamentarii, 2022, 43(12):3172-3185. (in Chinese)
[11]	鲁航, 刘昊然, 陈泰然, 等. 喷水推进两栖车辆水面航行特性试验与数值计算研究[J]. 兵工学报, 2024, 45(8):2629-2645. doi: 10.12382/bgxb.2023.0620
	LU H, LIU H R, CHEN T R, et al. Experimental and numerical study on water surface navigation characteristics of amphibious vehicles with waterjet propulsion[J]. Acta Armamentarii, 2024, 45(8):2629-2645. (in Chinese)
[12]	RENOLDS O. On the dynamical theory of incompressible viscous fluids and the determination of the criterion(IV)[J]. Philosophical Transactions of the Royal Society of London, 1895, 186:123-164.
[13]	BOUSSINESQ J. Cours d’analyse infinitésimale:à l’usage des personnes qui étudient cette science en vue de ses applications mécaniques et physiques[M] Paris France: Gauthier-Villars, 1887.
[14]	MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal, 1994, 32(8):1598-1605.
[15]	刘占一, 宋保维, 黄桥高, 等. 基于CFD技术的泵喷推进器水动力性能仿真方法[J]. 西北工业大学学报, 2010, 28(5):724-729.
	LIU Z Y, SONG B W, HUANG Q G, et al. Applying CFD technique to calculating successfully hydrodynamic performance of water jet pump[J]. Journal of Northwestern Polytechnical University, 2010, 28(5):724-729. (in Chinese)