CN116142371A - Multifunctional tail wing for middle-high speed ship and design method thereof - Google Patents

Multifunctional tail wing for middle-high speed ship and design method thereof Download PDF

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Publication number
CN116142371A
CN116142371A CN202211534270.1A CN202211534270A CN116142371A CN 116142371 A CN116142371 A CN 116142371A CN 202211534270 A CN202211534270 A CN 202211534270A CN 116142371 A CN116142371 A CN 116142371A
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Prior art keywords
ship
bracket
wing plate
high speed
wing
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CN202211534270.1A
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Chinese (zh)
Inventor
苏甲
邹姝妍
陈京普
胡世良
万熠璟
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702th Research Institute of CSIC
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B1/00Hydrodynamic or hydrostatic features of hulls or of hydrofoils
    • B63B1/16Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving additional lift from hydrodynamic forces
    • B63B1/24Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving additional lift from hydrodynamic forces of hydrofoil type
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B1/00Hydrodynamic or hydrostatic features of hulls or of hydrofoils
    • B63B1/16Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving additional lift from hydrodynamic forces
    • B63B1/24Hydrodynamic or hydrostatic features of hulls or of hydrofoils deriving additional lift from hydrodynamic forces of hydrofoil type
    • B63B1/248Shape, hydrodynamic features, construction of the foil
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B1/00Hydrodynamic or hydrostatic features of hulls or of hydrofoils
    • B63B1/32Other means for varying the inherent hydrodynamic characteristics of hulls
    • B63B1/40Other means for varying the inherent hydrodynamic characteristics of hulls by diminishing wave resistance
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B71/00Designing vessels; Predicting their performance
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B63SHIPS OR OTHER WATERBORNE VESSELS; RELATED EQUIPMENT
    • B63BSHIPS OR OTHER WATERBORNE VESSELS; EQUIPMENT FOR SHIPPING 
    • B63B71/00Designing vessels; Predicting their performance
    • B63B71/10Designing vessels; Predicting their performance using computer simulation, e.g. finite element method [FEM] or computational fluid dynamics [CFD]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T70/00Maritime or waterways transport
    • Y02T70/10Measures concerning design or construction of watercraft hulls

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  • Physics & Mathematics (AREA)
  • Fluid Mechanics (AREA)
  • Engineering & Computer Science (AREA)
  • Chemical & Material Sciences (AREA)
  • Combustion & Propulsion (AREA)
  • Mechanical Engineering (AREA)
  • Ocean & Marine Engineering (AREA)
  • General Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Aerodynamic Tests, Hydrodynamic Tests, Wind Tunnels, And Water Tanks (AREA)

Abstract

The invention relates to a multifunctional tail fin for a middle-high speed ship, a design method thereof and a design method thereof; the multifunctional tail fin is arranged at the stern and extends along the oblique underwater direction deviating from the ship body; the ship comprises a bracket led out from a ship body and a wing plate connected to the bracket, wherein the tail of the ship is provided with a multifunctional tail wing, so that the resistance of the ship is reduced, the energy-saving effect of the ship is achieved, the EEDI of the ship is reduced, and the economic performance of the ship in the shipping process is improved; the roll, pitch and heave of the ship during sailing are reduced, so that the safety performance of the ship is improved, and the comfort of crews and passengers is improved.

Description

Multifunctional tail wing for middle-high speed ship and design method thereof
Technical Field
The invention relates to the technical field of ship empennages, in particular to a multifunctional empennage for a middle-high speed ship and a design method thereof.
Background
In recent years, the requirements of people on the rapid performance and the safety performance of ships are increasing.
The good hydrodynamic performance of the ship not only can increase the safety and comfort of the ship navigation, but also can greatly improve the energy conservation and economy of the ship. The new ship can ensure better hydrodynamic performance by designing a better ship type scheme, but for the old ship which is put into operation, improving the hydrodynamic performance of the new ship cannot affect the overall structure of the ship, and the new ship is usually realized by adding an externally hung hydrodynamic device.
Disclosure of Invention
Aiming at the defects in the prior art, the applicant provides a multifunctional tail wing with reasonable structure for a middle-high speed ship and a design method thereof, which can effectively utilize the flow characteristics of the surrounding flow field, which are beneficial to the hydrodynamic performance of the ship, so as to achieve the effect of improving the hydrodynamic performance of the whole ship; meanwhile, forward thrust can be generated, wave making at the stern of the ship is restrained, running resistance is overcome, and the problems of rolling, pitching and heave of the ship are relieved.
The technical scheme adopted by the invention is as follows:
the multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body; comprises a bracket led out from a ship body and a wing plate connected to the bracket,
the bracket comprises:
the middle bracket is led out from the stern and symmetrically arranged by the longitudinal section of the ship body,
the side brackets are positioned at two sides of the middle bracket and are arranged in parallel with the middle bracket,
the wing plate comprises:
parallel wings connected to the middle support on the side far away from the ship body,
the sweepback wings are positioned at two sides of the parallel wings and are connected with the side brackets.
As a further improvement of the above technical scheme:
the side of the wing plate facing the water is a pressure surface, and the tail end of the side bracket is arranged beyond the pressure surface of the wing plate.
Outside the parallel wings, the leading edge of the ship body is swept back along the trailing edge direction, and forms a constant sweep angle alpha with the trailing edge, wherein the range of alpha is 0-60 degrees.
The pressure surface of the wing plate forms an attack angle beta with the horizontal plane, and the range of the attack angle beta is 0-15 degrees.
The distance between the leading edge and the trailing edge of the ship body is defined as the chord length D of the wing plate, the extension length of the wing plate is L1, the extension length of the parallel wing is L2, the extension length of the sweepback wing is L3, and the following relations are satisfied by L1, L2 and L3:
L1=L2+2×L3,
l1 and L2 are smaller than the ship shape width, L3 is smaller than the ship shape width of 1/2, and D is in the range of 1/400 ship total length-1/30 ship total length.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body; comprises a bracket led out from a ship body and a wing plate connected to the bracket,
the bracket adopts a middle bracket led out from the ship body, the middle bracket is positioned on the longitudinal section of the ship body, the two sides of the middle bracket are symmetrically provided with side brackets,
the wing plate comprises parallel wings connected with the middle bracket and sweepback wings which are positioned at the two ends of the wing tips of the parallel wings and connected with the side brackets.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body; comprises a bracket led out from a ship body and a wing plate connected to the bracket,
the bracket adopts two middle brackets which are symmetrically arranged by taking the longitudinal section of the ship body as a reference,
the wing plate adopts two parallel wings which are respectively connected with the two middle brackets.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body; comprises a bracket led out from a ship body and a wing plate connected to the bracket,
the bracket adopts two side brackets which are symmetrically arranged by taking the longitudinal section of the ship body as a reference,
the wing plate adopts two sweepback wings which are respectively connected with the two side brackets.
A design method for the multifunctional tail wing of middle-high speed ship features that the flow field around the ship is simulated, the total resistance of ship and the total resistance of ship with multifunctional tail wing are calculated, and the scheme with minimum total resistance is chosen.
A design method of a multifunctional tail wing of a middle-high speed ship adopts a rapid model test method, a model test is carried out in a towing tank, a resistance model test is carried out on a ship model with the multifunctional tail wing and a ship model without the multifunctional tail wing respectively, and a model scheme with minimum total resistance is selected.
The beneficial effects of the invention are as follows:
the invention has compact and reasonable structure and convenient operation, and reduces the resistance of the ship by arranging the multifunctional tail wing at the stern, thereby achieving the effect of saving energy of the ship, reducing the EEDI of the ship and improving the economic performance in the shipping process of the ship; the roll, pitch and heave of the ship during sailing are reduced, so that the safety performance of the ship is improved, and the comfort of crews and passengers is improved.
According to the fluid mechanics principle, for the multifunctional tail section of the invention, when the multifunctional tail section is installed in a ship tail flow field, the pressure of water flow received by a pressure surface and a suction surface is different. Normally the pressure of the pressure side is greater, which creates a pressure difference between the pressure side and the suction side. For the present invention, the pressure difference generates forward component force due to the attack angle of the multifunctional empennage, so that forward resultant force is generated, and the resultant force acts on the ship body through the bracket of the multifunctional empennage, so that the resistance of the whole ship can be reduced.
The flow field detail of the stern of the ship is obtained by carrying out numerical simulation or model test research on the stern flow field, and the scale and the position of the multifunctional tail wing are specially designed aiming at the flow field detail, so that the vertical velocity component of fluid can be reduced, and the wave making of the stern of the ship is stabilized.
Different attack angles and positions of the multifunctional tail wing can cause different pitching in the sailing process, and a numerical simulation and model test research is carried out on the flow field to find a multifunctional tail wing scheme capable of achieving a specific pitching angle, so that a ship can achieve expected sailing pitching.
When the ship body is to generate heave in water, a pressure difference opposite to the heave trend direction is generated on the upper surface and the lower surface of the multifunctional tail wing, so that the effect of reducing heave amplitude is achieved. Also, when the hull is intended to produce pitching or rolling in the water, a moment is produced which is opposite to the movement tendency, thereby weakening the pitching or rolling. Particularly has obvious effect for reducing pitching.
Drawings
FIG. 1 is a schematic view of the overall structure of a wing and bracket of the present invention.
Fig. 2 is a front view of the multifunctional tail wing of the present invention.
Fig. 3 is a bottom view of the multifunctional tail wing of the stern of the present invention.
Fig. 4 is a bottom view of a single multi-functional tail of the present invention.
Fig. 5 is a front view of the multifunctional tail wing of the present invention for embodying the sweep angle.
Wherein: 1. a hull; 2. a middle bracket; 3. a side bracket; 4. a wing plate; 5. a suction surface; 6. carrying out edge following; 7. a pressure surface; 8. edge guiding;
401. parallel wings; 402. and (5) sweepback wings.
Detailed Description
The following describes specific embodiments of the present invention with reference to the drawings.
As shown in fig. 1 to 5, the multifunctional tail fin for a middle-high speed ship of the present embodiment is installed at the stern and extends in an oblique underwater direction away from the hull 1; comprises a bracket led out from a ship body 1 and a wing plate 4 connected to the bracket,
the support includes:
the middle bracket 2 is led out from the stern and symmetrically arranged with the longitudinal section of the hull 1,
side brackets 3 which are positioned at two sides of the middle bracket 2 and are arranged in parallel with the middle bracket 2,
the wing 4 includes:
parallel wings 401, connected to the side of the middle frame 2 facing away from the hull 1,
the sweepback wings 402 are positioned at two sides of the parallel wings 401 and are connected with the side brackets 3.
The side of the wing plate 4 facing the water is provided with a pressure surface 7, and the tail end of the side bracket 3 is arranged beyond the pressure surface 7 of the wing plate 4.
Outside the parallel wings 401 the leading edge 8 of the hull 1 is swept back in the direction of the trailing edge 6, forming a constant sweep angle α with the trailing edge 6 in the range of 0-60 °.
The pressure surface 7 of the wing plate 4 forms an angle of attack beta with the horizontal plane in the range of 0-15 deg..
The distance between the leading edge 8 and the trailing edge 6 of the ship body 1 is defined as the chord length D of the wing plate 4, the span length of the wing plate 4 is L1, the span length of the parallel wing 401 is L2, the span length of the sweepback wing 402 is L3, and the following relations are satisfied by L1, L2 and L3:
L1=L2+2×L3,
l1 and L2 are smaller than the ship shape width, L3 is smaller than the ship shape width of 1/2, and D is in the range of 1/400 ship total length-1/30 ship total length.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body 1; comprises a bracket led out from a ship body 1 and a wing plate 4 connected to the bracket,
the bracket adopts a middle bracket 2 led out from the ship body 1, the middle bracket 2 is positioned on the longitudinal section of the ship body 1, the two sides of the middle bracket 2 are symmetrically provided with side brackets 3,
the wing plate 4 comprises a parallel wing 401 connected with the middle bracket 2 and a sweepback wing 402 which is positioned at the two ends of the wing tip of the parallel wing 401 and is connected with the side bracket 3.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body 1; comprises a bracket led out from a ship body 1 and a wing plate 4 connected to the bracket,
the bracket adopts two middle brackets 2, the two middle brackets 2 are symmetrically arranged by taking the longitudinal section of the ship body 1 as a reference,
the wing plate 4 adopts two parallel wings 401 which are respectively connected with the two middle brackets 2.
The multifunctional tail fin for the middle-high speed ship is arranged at the stern and extends along the oblique underwater direction deviating from the ship body 1; comprises a bracket led out from a ship body 1 and a wing plate 4 connected to the bracket,
the bracket adopts two side brackets 3, the two side brackets 3 are symmetrically arranged by taking the longitudinal section of the ship body 1 as a reference,
the wing plate 4 adopts two sweepback wings 402, which are respectively connected with the two side brackets 3.
The design method of the multifunctional empennage of the medium-high speed ship adopts a computational fluid mechanics numerical calculation method, firstly simulates a flow field around the ship, calculates the total resistance born by the ship and the total resistance when the ship is provided with the multifunctional empennage with various sizes at the designed navigational speed, and selects the scheme with the minimum total resistance.
According to the design method of the multifunctional tail wing of the middle-high speed ship, a rapid model test method is adopted, model tests are conducted in a towing tank, resistance model tests are conducted on a ship model with the multifunctional tail wing and a ship model without the multifunctional tail wing respectively, and a model scheme with the minimum total resistance is selected.
The invention has the following specific structure and principle:
as shown in fig. 1-2, in one embodiment of the invention, the wings 4 are symmetrically arranged along the middle longitudinal section of the vessel. And is installed behind the rudder, below the stern or behind the stern, and is connected with the stern by the middle bracket 2 and the side brackets 3. The side bracket 3 is connected with the wing tip of the tail wing, and the tail end of the side bracket 3 slightly exceeds the pressure surface 7 so as to facilitate eliminating the tip vortex of the multifunctional tail wing. The lower surface is typically a pressure surface 7 and the upper surface is a suction surface 5, as shown in fig. 2.
With reference to fig. 3, the leading edge 8 is in the direction of the bow of the wing plate 4 and the trailing edge 6 is in the direction of the stern. Typically, leading edge 8 is lower than trailing edge 6. On the section cut by the symmetrical plane, the distance between the leading edge 8 and the trailing edge 6 is defined as the chord length D of the multifunctional tail wing; the trailing edge 6 is vertical to the middle longitudinal section of the ship, and the length L1 of the trailing edge is the extension length of the multifunctional tail wing. The spanwise length of the swept back wing 402 is set to L3. In the middle part of the tail wing, the leading edge 8 is perpendicular to the middle longitudinal section of the ship, defines the section as a parallel wing 401 of the multifunctional tail wing, and the extension length of the parallel wing 401 is defined as L2;
at a distance L2/2 from the middle longitudinal section, i.e. outside the parallel wings 401, the leading edge 8 will sweep back towards the trailing edge 6 and form a constant angle α with the trailing edge 6, defining this section as swept back wing 402 of the multifunctional tail, the angle α being the swept back angle, the angle of the pressure surface 7 of the multifunctional tail with the horizontal plane, i.e. the angle of attack of the tail being defined as β.
In the flow field, a pressure difference is formed between the pressure surface 7 of the tail and the suction surface 5, and when this angle of attack is present, the pressure difference has a forward component of the magnitude Δp×sin β, which component causes the ship to generate a forward thrust during sailing. P is pressure, which represents the surface pressure of the tail, and ΔP is the pressure difference between the pressure side and the suction side.
The relationship of the overall lengths of the parallel wings 401, swept wings 402 and the wing plates 4 satisfies the following equation:
L1=L2+2×L3。
the range of angular dimensions is shown in the following table:
Figure BDA0003976954060000051
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Figure BDA0003976954060000061
as one embodiment of the present invention, the wing plates 4 are all composed of parallel wings 401, and in this case, if there is no swept-back wing 402, l3=0.
As another embodiment of the present invention, the wing panel 4 is composed of two swept wings 402, in which case there is no parallel wing 401, and l2=0.
When the overall span L1 of the multifunctional tail wing is short or the swept-back wing 402 is not long, the tail can be connected with the stern by only two side brackets 3 or two middle brackets 2.
Therefore, the bracket combination mode of the multifunctional tail wing has 4 kinds as follows:
2 middle brackets 2+2 side brackets 3, now with 2 parallel wings 4012 swept wings 402;
1 middle bracket 2+2 side brackets 3, now with 2 parallel wings 4012 swept wings 402;
2 middle brackets 2, now with 2 parallel wings 401;
2 side brackets 3, now with 2 swept wings 402.
The characteristic size, angle and specific installation position of the multifunctional tail wing are determined in advance through numerical calculation or model test according to the flow field and the design navigational speed of the ship. The determination method comprises the following two steps:
the numerical value calculation method comprises the following steps: adopting a computational fluid dynamics method to simulate the flow field around the ship, calculating the total resistance born by the ship at the designed navigational speed and the total resistance when the ship is provided with the multifunctional tail wing with different characteristic sizes, and selecting a scheme with the minimum total resistance;
model test method: and (3) performing model tests in a towing tank, and respectively performing resistance model tests on schemes with and without the multifunctional tail wing to find the multifunctional tail wing scheme with the minimum total resistance. ) So as to achieve the best energy-saving or safe and comfortable effects.
The invention adopts the multifunctional tail wing, so that the wave making of the stern can be improved in navigation; the resistance of the whole ship is reduced; the wave resistance is improved, and further, the boarding experience of crews and passengers is improved.
The above description is intended to illustrate the invention and not to limit it, the scope of which is defined by the claims, and any modifications can be made within the scope of the invention.

Claims (10)

1. A multi-functional fin for middle-high speed boats and ships, its characterized in that: is arranged at the stern and extends along the oblique underwater direction deviating from the hull (1); comprises a bracket led out from a ship body (1) and a wing plate (4) connected to the bracket,
the bracket comprises:
the middle bracket (2) is led out from the stern and symmetrically arranged by the longitudinal section of the ship body (1),
the side brackets (3) are positioned at two sides of the middle bracket (2) and are arranged in parallel with the middle bracket (2),
the wing plate (4) comprises:
parallel wings (401) connected to the side of the middle bracket (2) facing away from the hull (1),
the sweepback wings (402) are positioned at two sides of the parallel wings (401) and are connected with the side brackets (3).
2. The multi-functional tail for a medium and high speed ship according to claim 1, wherein: the side of the wing plate (4) facing the water is provided with a pressure surface (7), and the tail end of the side bracket (3) is arranged beyond the pressure surface (7) of the wing plate (4).
3. The multi-functional tail for a medium and high speed ship according to claim 1, wherein: outside the parallel wings (401), the leading edge (8) of the ship body (1) is swept back along the direction of the trailing edge (6), and forms a constant sweep angle alpha with the trailing edge (6), wherein the range of alpha is 0-60 degrees.
4. A multi-functional tail for a medium and high speed marine vessel according to claim 3, wherein: an angle of attack beta is formed between the pressure surface (7) of the wing plate (4) and the horizontal plane, and the range of beta is 0-15 degrees.
5. The multi-functional tail for a medium and high speed ship according to claim 1, wherein: the distance between the leading edge (8) and the trailing edge (6) of the ship body (1) is defined as the chord length D of the wing plate (4), the extension length of the wing plate (4) is L1, the extension length of the parallel wings (401) is L2, the extension length of the sweepback wings (402) is L3, and the following relations are satisfied by the L1, L2 and L3:
L1=L2+2×L3,
l1 and L2 are smaller than the ship shape width, L3 is smaller than the ship shape width of 1/2, and D is in the range of 1/400 ship total length-1/30 ship total length.
6. A multi-functional fin for middle-high speed boats and ships, its characterized in that: is arranged at the stern and extends along the oblique underwater direction deviating from the hull (1); comprises a bracket led out from a ship body (1) and a wing plate (4) connected to the bracket,
the bracket adopts a middle bracket (2) led out from the hull (1), the middle bracket (2) is positioned on the longitudinal section of the hull (1), the two sides of the middle bracket (2) are symmetrically provided with side brackets (3),
the wing plate (4) comprises a parallel wing (401) connected with the middle bracket (2) and a sweepback wing (402) which is positioned at the slightly two ends of the parallel wing (401) and connected with the side bracket (3).
7. A multi-functional fin for middle-high speed boats and ships, its characterized in that: is arranged at the stern and extends along the oblique underwater direction deviating from the hull (1); comprises a bracket led out from a ship body (1) and a wing plate (4) connected to the bracket,
the bracket adopts two middle brackets (2), the two middle brackets (2) are symmetrically arranged by taking the longitudinal section of the ship body (1) as a reference,
the wing plate (4) adopts two parallel wings (401) which are respectively connected with the two middle brackets (2).
8. A multi-functional fin for middle-high speed boats and ships, its characterized in that: is arranged at the stern and extends along the oblique underwater direction deviating from the hull (1); comprises a bracket led out from a ship body (1) and a wing plate (4) connected to the bracket,
the bracket adopts two side brackets (3), the two side brackets (3) are symmetrically arranged by taking the longitudinal section of the ship body (1) as a reference,
the wing plate (4) adopts two sweepback wings (402) which are respectively connected with the two side brackets (3).
9. The method for designing the multifunctional empennage of the medium-high speed ship according to claim 1, wherein a computational fluid dynamics numerical calculation method is adopted, a flow field around the ship is firstly simulated, the total resistance born by the ship and the total resistance when the ship is provided with the multifunctional empennage with various sizes are calculated at the designed navigational speed, and a scheme with the minimum total resistance is selected.
10. The method for designing the multifunctional empennage of the medium-high speed ship according to claim 1, wherein a rapid model test method is adopted, model tests are carried out in a towing tank, resistance model tests are carried out on a ship model with the multifunctional empennage and a ship model without the multifunctional empennage respectively, and a model scheme with minimum total resistance is selected.
CN202211534270.1A 2022-12-02 2022-12-02 Multifunctional tail wing for middle-high speed ship and design method thereof Pending CN116142371A (en)

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Application Number Priority Date Filing Date Title
CN202211534270.1A CN116142371A (en) 2022-12-02 2022-12-02 Multifunctional tail wing for middle-high speed ship and design method thereof

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CN116142371A true CN116142371A (en) 2023-05-23

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