Numerical analysis of drag reduction of hydrofoil appendage for high-speed ship

Table 1. Main parameters of the ship model
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Table 1. Main parameters of the ship model
参数船模实船
水线间长L/m 5.72 142.0
排水量Δ/kg 549.0 8.636×10⁶
水线宽B/m 0.76 18.9
吃水T/m 0.248 6.16

Table 2. Grid schemes
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Table 2. Grid schemes
方案网格基础尺寸/m 网格数
1 0.141 4 132×10⁴
2 0.100 0 252×10⁴
3 0.070 7 536×10⁴

Table 3. Comparison of numerical results under three grid schemes

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Table 3. Comparison of numerical results under three grid schemes

Fr	航速/(m·s⁻¹)	总阻力/N			升沉/m			纵倾/(°)
Fr	航速/(m·s⁻¹)	方案1	方案2	方案3	方案1	方案2	方案3	方案1	方案2	方案3
0.30	2.247	65.23	54.61	54.01	0.002	−0.009	−0.010	0.018	0.015	0.016
0.41	3.071	153.13	142.83	141.74	−0.014	−0.012	−0.013	−0.409	−0.418	−0.408
0.45	3.371	209.00	199.44	201.03	−0.018	−0.017	−0.017	−0.858	−0.913	−0.924
0.494	3.700	271.58	260.19	262.55	−0.019	−0.018	−0.017	−1.366	−1.444	−1.480

Table 4. Results of convergence rate
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Table 4. Results of convergence rate
参数 ${\left\| {\varepsilon _{{\text{G}}21}^R} \right\|_2}$ ${\left\| {\varepsilon _{{\text{G}}32}^R} \right\|_2}$ ${R_{\text{G}}}$
总阻力 20.976 3.106 0.148
升沉 0.011 0.002 0.182
纵倾 0.096 0.039 0.406

Table 5. Comparison of ship model test and numerical calculation results

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Table 5. Comparison of ship model test and numerical calculation results

Fr	航速/(m·s⁻¹)	总阻力/N			升沉/m		纵倾/(°)
Fr	航速/(m·s⁻¹)	数值计算	船模试验	误差/%	数值计算	船模试验	数值计算	船模试验
0.30	2.247	54.61	51.26	6.54	−0.009	−0.010	0.015	0.018
0.41	3.071	142.83	134.40	6.27	−0.012	−0.010	−0.418	−0.373
0.45	3.371	199.44	198.68	0.38	−0.017	−0.017	−0.913	−0.723
0.494	3.700	260.19	259.29	0.35	−0.018	−0.019	−1.444	−1.380

Table 6. Changes of heave, trim and total drag after installing hydrofoil appendage BH-1

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Table 6. Changes of heave, trim and total drag after installing hydrofoil appendage BH-1

Fr	航速/(m·s⁻¹)	升沉/m			纵倾/(°)			总阻力/N
Fr	航速/(m·s⁻¹)	裸船体	BH-1	变化量	裸船体	BH-1	变化量	裸船体	BH-1	变化率/%
0.41	3.071	−0.012	−0.011	−0.001	−0.418	−0.592	0.174	142.83	138.22	−3.23
0.45	3.371	−0.017	−0.014	−0.003	−0.913	−1.127	0.214	199.44	190.24	−4.61
0.494	3.700	−0.018	−0.014	−0.004	−1.444	−1.698	0.254	260.19	245.44	−5.67

Table 7. Variation of heave, trim and total drag after installing hydrofoil appendage BH-2

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Table 7. Variation of heave, trim and total drag after installing hydrofoil appendage BH-2

Fr	航速/(m·s⁻¹)	升沉/m			纵倾/(°)			总阻力/N
Fr	航速/(m·s⁻¹)	裸船体	BH-2	变化量	裸船体	BH-2	变化量	裸船体	BH-2	变化率/%
0.41	3.071	−0.012	−0.010	−0.002	−0.418	−0.680	0.262	142.83	135.34	−5.24
0.45	3.371	−0.017	−0.012	−0.005	−0.913	−1.208	0.295	199.44	185.60	−6.94
0.494	3.700	−0.018	−0.012	−0.006	−1.444	−1.786	0.342	260.19	242.90	−6.65

Table 8. Influence of chord length change of hydrofoil appendage on drag reduction effect

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Table 8. Influence of chord length change of hydrofoil appendage on drag reduction effect

Fr	航速/(m·s⁻¹)	纵倾/(°)			总阻力/N
		裸船体	BH-3	BH-4	裸船体	BH-3		BH-4
		裸船体	BH-3	BH-4	裸船体	阻力	减阻率/%	阻力	减阻率/%
0.41	3.071	−0.418	−0.719	−0.587	142.83	135.06	−5.44	138.90	−2.75
0.45	3.371	−0.913	−1.251	−1.113	199.44	184.72	−7.38	192.48	−3.49
0.494	3.700	−1.444	−1.836	−1.690	260.19	242.44	−6.82	246.94	−5.09

Table 9. Influence of installation position change of hydrofoil appendage on drag reduction effect

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Table 9. Influence of installation position change of hydrofoil appendage on drag reduction effect

Fr	航速/(m·s⁻¹)	纵倾/(°)			总阻力/N
		裸船体	BH-5	BH-6	裸船体	BH-5		BH-6
		裸船体	BH-5	BH-6	裸船体	阻力	减阻率/%	阻力	减阻率/%
0.41	3.071	−0.418	−0.652	−0.612	142.83	135.38	−5.22	137.00	−4.08
0.45	3.371	−0.913	−1.189	−1.151	199.44	186.22	−6.63	187.90	−5.79
0.494	3.7	−1.444	−1.768	−1.735	260.19	243.62	−6.37	246.26	−5.35

Table 10. Variation of heave, trim and total drag after installing bow-and-stern combined hydrofoil appendage

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Table 10. Variation of heave, trim and total drag after installing bow-and-stern combined hydrofoil appendage

Fr	航速/(m·s⁻¹)	升沉/m			纵倾/(°)			总阻力/N
Fr	航速/(m·s⁻¹)	裸船体	组合附体	变化量	裸船体	组合附体	变化量	裸船体	组合附体	变化率/%
0.41	3.071	−0.012	−0.009	−0.003	−0.418	−0.345	−0.073	142.83	131.64	−7.83
0.45	3.371	−0.017	−0.011	−0.006	−0.913	−0.803	−0.110	199.44	180.80	−9.35
0.494	3.700	−0.018	−0.011	−0.007	−1.444	−1.270	−0.174	260.19	231.24	−11.13

Table 11. Comparison of heave, trim and total drag between combined appendage, bare hull and BH-5

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Table 11. Comparison of heave, trim and total drag between combined appendage, bare hull and BH-5

Fr	航速/(m·s⁻¹)	升沉/m			纵倾/(°)			总阻力/N
Fr	航速/(m·s⁻¹)	裸船体	BH-5	组合附体	裸船体	BH-5	组合附体	裸船体	BH-5	组合附体
0.41	3.071	−0.012	−0.010	−0.009	−0.418	−0.652	−0.345	142.83	135.38	131.64
0.45	3.371	−0.017	−0.012	−0.011	−0.913	−1.189	−0.803	199.44	186.22	180.80
0.494	3.700	−0.018	−0.012	−0.011	−1.444	−1.768	−1.270	260.19	243.62	231.24

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Qian CHEN, Zhihua LIU, Gangquan ZHAO, Wentao LIU. Numerical analysis of drag reduction of hydrofoil appendage for high-speed ship[J]. Chinese Journal of Ship Research, 2022, 17(3): 135

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Paper Information

Category: Ship Design and Performance

Received: Jan. 4, 2022

Accepted: --

Published Online: Mar. 25, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.02753

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Main parameters of the ship model

Table 1. Main parameters of the ship model

Table 2. Grid schemes

Table 2. Grid schemes

Table 3. Comparison of numerical results under three grid schemes

Table 3. Comparison of numerical results under three grid schemes

Table 4. Results of convergence rate

Table 4. Results of convergence rate

Table 5. Comparison of ship model test and numerical calculation results

Table 5. Comparison of ship model test and numerical calculation results

Table 6. Changes of heave, trim and total drag after installing hydrofoil appendage BH-1

Table 6. Changes of heave, trim and total drag after installing hydrofoil appendage BH-1

Table 7. Variation of heave, trim and total drag after installing hydrofoil appendage BH-2

Table 7. Variation of heave, trim and total drag after installing hydrofoil appendage BH-2

Table 8. Influence of chord length change of hydrofoil appendage on drag reduction effect

Table 8. Influence of chord length change of hydrofoil appendage on drag reduction effect

Table 9. Influence of installation position change of hydrofoil appendage on drag reduction effect

Table 9. Influence of installation position change of hydrofoil appendage on drag reduction effect

Table 10. Variation of heave, trim and total drag after installing bow-and-stern combined hydrofoil appendage

Table 10. Variation of heave, trim and total drag after installing bow-and-stern combined hydrofoil appendage

Table 11. Comparison of heave, trim and total drag between combined appendage, bare hull and BH-5

Table 11. Comparison of heave, trim and total drag between combined appendage, bare hull and BH-5