CN117332710A - Novel resistance decomposition-based quick forecasting method for Fang Weichuan resistance at medium and low navigational speeds - Google Patents
Novel resistance decomposition-based quick forecasting method for Fang Weichuan resistance at medium and low navigational speeds Download PDFInfo
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Abstract
The invention relates to a novel resistance decomposition-based method for rapidly forecasting Fang Weichuan resistance in medium and low navigational speeds, which comprises the step of adding a total resistance coefficient C of a ship body according to wet surface areas of different parts of the ship body and different hydrodynamic components t Decomposed into coefficient of friction resistance C f Coefficient of dynamic pressure resistance on ship sideDynamic pressure drag coefficient of sternStatic pressure resistance coefficient of dry stern seal plateStatic pressure resistance coefficient of wet stern seal platePredicting each resistance component by using an existing empirical formula or theoretical calculation method; the total resistance is predicted by summing the resistance components. The invention separates the components of square stern transom seal plate resistance which is greatly influenced by turbulence, side transom resistance which is less influenced by turbulence and the like, finds out the static pressure resistance of the wet transom seal plate which is neglected in the past, and respectively describes the influence of a vortex area on the dynamic pressure resistance of the stern and the dynamic pressure resistance of the side transom at medium and low navigational speeds by introducing blunt body resistance coefficient and square transom wave making parameters and correcting the existing Neumann-Michell theory, thereby realizing the rapid and accurate forecast of the total resistance of the square transom.
Description
Technical Field
The invention belongs to the technical field of ship hydrodynamic force, and particularly relates to a method capable of rapidly and accurately forecasting Fang Weichuan total resistance at medium and low navigational speeds.
Background
Currently, the resistance calculation method of the square stern ship is a CFD calculation method and a potential flow calculation method. CFD calculation methods require a large amount of computational resources to be consumed, and are costly and slow. The potential flow calculation method is high in efficiency, however, the influence of the square stern is difficult to accurately consider at medium and low navigational speeds. At high navigational speed, a full circulation area is formed behind the square stern, the Fang Weichuan tail sealing plate is in non-contact with water and becomes a dry surface, and at the moment, the existing method usually adopts a warehouse tower condition and the like to improve the potential flow method of the Rankine source, meets the continuous condition of the streamline behind the square stern, and further predicts wave making resistance. However, at medium and low speeds, the tail seal plate of the square stern is partially immersed in the water body, a more remarkable vortex area is formed after the square stern, and at this time, the total resistance of the square stern is difficult to forecast. The influence of the vortex area is difficult to accurately describe by a common virtual length method and a conventional tower condition method, and the influence of the hydrodynamic pressure on the stern transom is often ignored when the hydrodynamic pressure is calculated by the conventional method. Thus, there is a need for a method that can rapidly and accurately predict the total drag of Fang Weichuan at medium and low speeds.
Disclosure of Invention
Aiming at the defect that the prior art is difficult to quickly and accurately calculate the Fang Weichuan resistance at middle and low speeds, the invention provides a novel resistance decomposition-based Fang Weichuan resistance quick forecasting method at middle and low speeds, which comprises a novel resistance decomposition method, a resistance component forecasting method and a total resistance forecasting method; according to the novel resistance decomposition method, the total resistance is decomposed into five different components according to different surface areas and different pressure components of the ship body, so that the influence of the square stern is better reflected; the forecasting method of each resistance component can forecast each resistance component according to an empirical formula or simpler theoretical calculation; according to the resistance decomposition method and the resistance component forecasting method, the total resistance of the ship body can be forecasted, so that the total resistance of the stern ship can be forecasted rapidly and accurately.
The technical scheme adopted by the invention for solving the technical problems is as follows:
a novel resistance decomposition-based quick prediction method for Fang Weichuan resistance in medium and low navigational speeds comprises the following steps:
s1, decomposing the square stern ship resistance by adopting a novel resistance decomposition method: according to the wet surface areas of different parts of the ship body and different hydrodynamic components, the total resistance coefficient C of the ship body t Decomposed into coefficient of friction resistance C f Coefficient of dynamic pressure resistance on ship sideDynamic pressure resistance coefficient of stern->Static pressure resistance coefficient of dry stern seal plate>Static pressure resistance coefficient of wet stern seal plate>Total drag coefficient C of hull t The expression of (2) is as follows:
wherein: friction resistance C f Representing the frictional resistance of the hull surface; c (C) p Representing the compressive resistance; ship side dynamic pressure resistanceGauge for indicating hydrodynamic pressure on ship sideIntegration over a face; dynamic pressure resistance of stern->Representing the integral of the hydrodynamic pressure on the stern transom plate surface; static pressure resistance of dry stern seal plate>Representing the hydrostatic resistance associated with the surface of the dry stern transom due to the lowering of the free liquid level after the transom; static pressure resistance of wet stern seal plate>Representing the hydrostatic resistance associated with the wet stern transom surface due to the lowering of the free liquid surface after the square tail.
S2, practical calculation of each resistance component: and forecasting each resistance component by using an existing empirical formula or theoretical calculation method. Wherein:
friction resistance C f Calculated by adopting an ITTC1957 flat plate friction formula
Wherein: s is S s The wet surface area of the side camber of the ship, re is the reynolds number expressed as re=v s L s V, wherein the kinematic viscosity coefficient of water is taken as v=1.14x10 -6 m 2 /s，V S Indicating speed of navigation, L s Representing the captain.
Static pressure resistance of dry stern seal plateThe expression is as follows:
wherein:representing the Froude number, V s Indicating speed of navigation, L s Representing the ship length, (x, y, z) representing the coordinates of the curved surface of the ship body, (n) x ，n y ，n z ) Representing a normal vector of a curved surface of the ship body; da represents the area of the hull curved discrete units; />Indicating that the aft fluid movement of the square stern vessel causes the water surface to drop and form the dry surface of the tail seal plate.
Static pressure resistance of wet tail sealing plateObtained according to the pressure decomposition method, expressed as:
wherein:represents the surface, eta of the wet tail sealing plate dry The height eta of the dry tail sealing plate is expressed dry The method is calculated by adopting the existing empirical formula:
wherein: c (C) 1 ＝0.08057，C 2 ＝2.831，t r For dimensionless square stern draft, T r Is the actual square stern draft.
Dynamic pressure drag coefficient of sternAccording to the resistance coefficient C of the blunt body d The expression is as follows:
wherein:represents wet tail sealing plate->Surface area of blunt body resistance coefficient C d Simply select C as d ≈0.04。
Coefficient of dynamic pressure resistance on ship sideThe correction calculation is carried out on the Neumann-Michell potential flow theory to obtain:
wherein: p is p * Expressed as the hydrodynamic pressure on the side of the ship
Wherein:speed potential->X, y, z direction partial derivative of (2), velocity potential +.>To account for local nonlinearity of the free liquid level after square tail, the Neumann-Michell theory is corrected and calculated to be expressed as
Wherein:expressed as Hogner velocity potential
Wherein: g is a Green function;
expressed as the free liquid surface velocity potential
Wherein:
where the subscripts x, y, z denote the corresponding partial derivatives, phi denotes the source point velocity potential,represents the free liquid level of the concave rear part of the square tail, sigma F Representing a flatAll free liquid level, eta 0 The free liquid level shape after square tail is expressed as eta 0 /η dry ≈-1-(x+0.5)/l h
with -0.5-l h <x<-0.5，|y|<b s (12)
Wherein b s Represents the stern width, l h Representing the length of the wake depression after the boat, taken as l h ≈b s ，
Represents NM speed potential expressed as
Wherein N is node Representing the number of discrete bin nodes, A ij Representing a configuration matrix related to the navigational speed and the geometric shape of the ship body, consistent with the traditional Neumann-Michell theory calculation method, j represents the number of unit nodes and phi j Representing the velocity potential at the j-th node.
S3, forecasting total resistance: the total resistance is predicted by summing the resistance components.
The invention has the beneficial effects that:
the invention separates the components such as the square stern transom plate resistance with larger influence of turbulence and the side resistance with smaller influence of turbulence by a novel resistance decomposition method, and discovers the neglected static pressure resistance of the wet transom plateBy introducing the resistance coefficient C of the bluff body d Modifying the existing Neumann-Michell theory to respectively describe the dynamic pressure resistance of the vortex region to the stern during medium and low navigational speeds>Ship side dynamic pressure resistance ++>Thereby realizing the rapid and accurate forecast of the total resistance of the opposite stern vessel.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a schematic representation of the significance of the parameters in the method of the present invention;
FIG. 2 is a graph showing the total resistance of NPL-3b and NPL-4a Fang Weichuan predicted by the method of this invention in comparison with the experimental measurements in the examples of this invention;
FIG. 3 is a schematic representation of a CFD computational fluid domain for verifying the correctness of the method of the present invention;
FIG. 4 is a CFD computational meshing used to verify the correctness of the method of the present invention;
FIG. 5 is a comparative graph of the verification of the hydrodynamic pressure distribution of NPL-4a ship predicted by the method of the present invention in the examples of the present invention.
Detailed Description
For a clearer understanding of technical features, objects and effects of the present invention, a detailed description of embodiments of the present invention will be made with reference to the accompanying drawings.
According to the novel resistance decomposition-based quick prediction method for the Fang Weichuan resistance in medium and low navigational speeds, which is provided by the invention, the specific implementation steps are as follows:
the first step is to adopt the captain to dimensionless the geometric shape of the ship body according to the given ship shape.
Second step, according to the given navigational speed V s Actual ship length L s Dimensionless ship side wet surface area S s Calculating the friction resistance coefficient C by adopting the formula (2) f 。
Third step, according to the draft t of the tail of the dimensionless ship r Number F of Froude of ship r The height eta of the dry tail sealing plate is calculated by adopting a formula (5) dry . And further obtain the wet tail sealing plate area
Fourth step, according to the area of the wet tail sealing plateBy adopting the formula (6), the stern dynamic pressure resistance coefficient +.>
Fifthly, according to the obtained height eta of the dry tail sealing plate dry Respectively adopting formulas (3) and (4) to calculate and obtain the static pressure resistance of the dry stern transom plateStatic pressure resistance of wet tail sealing plate->
The sixth step, discretizing the geometric shape of the ship body, and calculating Neumann-Michell potential flow according to formulas (7) - (12) to obtain the hydrodynamic resistance of the ship side
Seventh step, the coefficient of friction C obtained from the above steps f Dynamic pressure drag coefficient of sternStatic pressure resistance of dry stern seal plate>Static pressure resistance of wet tail sealing plate->Ship side dynamic pressure resistance ++>Summing to obtain a total drag coefficient C t 。
In the embodiment, the method of the invention is adopted to forecast the total resistance of the ship type NPL-3b and NPL-4a and giveComparison with test or CFD calculation, see FIG. 2, where abscissa F r The Froude number and the ordinate is the total drag coefficient C t . The solid line (method of the invention) is generally close to the circle (test measurement value) and the broken line (CFD calculation value), which indicates that the total resistance result predicted by the method of the invention is generally consistent with the test measurement value and the CFD calculation result.
FIG. 3 is a schematic representation of a CFD computational fluid domain for verifying the correctness of the method of the present invention. CFD calculations were simulated using StarCCM + commercial software for the flow field. The control equation adopts a SIMPLE algorithm, the free liquid level is captured by adopting a VOF method, and the range of a flow field (X, Y, Z) is 2.5ls < X < -4ls,0< Y <2ls, -2ls < Z <1.5ls. The y+ range in the boundary layer is 30< y+ <100, and the time step is 0.005s. Specific grid details as shown in fig. 4, the computational grid is approximately 196 tens of thousands.
The patent further adopts NPL-4a ship type to verify the hydrodynamic pressure p forecasted by the method * Referring to fig. 5, it can be seen from the graph that the modified Neumann-Michell theory predicts a hydrodynamic pressure distribution that is more consistent with the CFD prediction results.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other.
The embodiments of the present invention have been described above with reference to the accompanying drawings, but the present invention is not limited to the above-described embodiments, which are merely illustrative and not restrictive, and many forms may be made by those having ordinary skill in the art without departing from the spirit of the present invention and the scope of the claims, which are to be protected by the present invention.
Claims (7)
1. The Fang Weichuan resistance quick forecasting method based on novel resistance decomposition at medium and low navigational speeds is characterized by comprising the following steps of:
s1, decomposing the square stern ship resistance by adopting a novel resistance decomposition method: according toThe wet surface areas of different parts of the ship body and different hydrodynamic components, the total resistance coefficient C of the ship body t Decomposed into coefficient of friction resistance C f Coefficient of dynamic pressure resistance on ship sideDynamic pressure resistance coefficient of stern->Static pressure resistance coefficient of dry stern seal plate>Static pressure resistance coefficient of wet stern seal plate>
S2, practical calculation of each resistance component: predicting each resistance component by using an existing empirical formula or theoretical calculation method;
s3, forecasting total resistance: the total resistance is predicted by summing the resistance components.
2. The method for rapidly predicting the resistance of the ship according to claim 1 at medium and low speeds Fang Weichuan based on novel resistance decomposition, wherein in step S1, the total resistance coefficient C of the ship is t The expression of (2) is as follows:
wherein: friction resistance C f Representing the frictional resistance of the hull surface; c (C) p Representing the compressive resistance; ship side dynamic pressure resistanceRepresenting the integral of hydrodynamic pressure on the side surface of the ship; dynamic pressure resistance of stern->Representing the integral of the hydrodynamic pressure on the stern transom plate surface; static pressure resistance of dry stern seal plate>Representing the hydrostatic resistance associated with the surface of the dry stern transom due to the lowering of the free liquid level after the transom; static pressure resistance of wet stern seal plate>Representing the hydrostatic resistance associated with the wet stern transom surface due to the lowering of the free liquid surface after the square tail.
3. The method for rapidly predicting the resistance of Fang Weichuan at medium and low speeds based on novel resistance decomposition according to claim 1, wherein in step S2, the friction resistance C f Calculated by adopting an ITTC1957 flat plate friction formula
Wherein: s is S s The wet surface area of the side camber of the ship, re is the reynolds number expressed as re=v s L s V, wherein the kinematic viscosity coefficient of water is taken as v=1.14x10 -6 m 2 /s，V s Indicating speed of navigation, L s Representing the captain.
4. The method for rapidly forecasting Fang Weichuan resistance at medium and low speeds based on novel resistance decomposition according to claim 1, wherein in step S2, static pressure resistance of dry stern transom is measuredThe expression is as follows:
wherein:representing the Froude number, V s Indicating speed of navigation, L s Representing the ship length, (x, y, z) representing the coordinates of the curved surface of the hull, ">Representing a normal vector of a curved surface of the ship body; da represents the area of the hull curved discrete units; />Indicating the lowering of the water surface caused by the fluid movement behind the square stern vessel, and forming the dry surface of the tail seal plate;
static pressure resistance of wet tail sealing plateObtained according to the pressure decomposition method, expressed as:
wherein:represents the surface, eta of the wet tail sealing plate dry Indicating the height of the dry tail seal plate.
5. The method for rapidly forecasting the resistance of Fang Weichuan at medium and low speeds based on novel resistance decomposition according to claim 4, wherein the height η of the dry tail sealing plate is dry The method is calculated by adopting the existing empirical formula:
wherein->
Wherein: c (C) 1 ＝0.08057，C 2 ＝2.831，t r For dimensionless square stern draft, T r Is the actual square stern draft.
6. The method for rapid prediction of Fang Weichuan drag force at low and medium speeds based on novel drag force resolution as claimed in claim 4, wherein in step S2, the dynamic drag force coefficient of stern isAccording to the resistance coefficient C of the blunt body d The expression is as follows:
wherein:represents wet tail sealing plate->Surface area of blunt body resistance coefficient C d Simply select C as d ≈0.04。
7. The method for rapid prediction of Fang Weichuan drag force at low and medium speeds based on novel drag force resolution as claimed in claim 4, wherein in step S2, the dynamic drag force coefficient of the ship sideThe correction calculation is carried out on the Neumann-Michell potential flow theory to obtain:
wherein: p is p * Expressed as the hydrodynamic pressure on the side of the ship
Wherein:speed potential->X, y, z direction partial derivative of (2), velocity potential +.>To account for local nonlinearity of the free liquid level after square tail, the Neumann-Michell theory is corrected and calculated to be expressed as
Wherein:expressed as Hogner velocity potential
Wherein: g is a Green function;
expressed as the free liquid surface velocity potential
Wherein:
where the subscripts x, y, z denote the corresponding partial derivatives, phi denotes the source point velocity potential,represents the free liquid level of the concave rear part of the square tail, sigma F Mean free liquid level, eta 0 The free liquid level shape after square tail is expressed as
Wherein b s Represents the stern width, l h Representing the length of the wake depression after the boat, taken as l h ≈b s ，
Representing NM speedDegree potential expressed as
Wherein N is node Representing the number of discrete bin nodes, A ij Representing a configuration matrix related to the navigational speed and the geometric shape of the ship body, consistent with the traditional Neumann-Michell theory calculation method, j represents the number of unit nodes and phi j Representing the velocity potential at the j-th node.
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| JP2001138981A (en) * | 1999-11-18 | 2001-05-22 | Nkk Corp | Viscous resistance estimating method and design method for enlarged ship, and enlarged ship |
| CN104875845A (en) * | 2015-05-08 | 2015-09-02 | 上海佳豪船舶工程设计股份有限公司 | Forecasting method of total resistance of actual ship |
| CN105243203A (en) * | 2015-09-28 | 2016-01-13 | 上海凌耀船舶工程有限公司 | CFD calculation method for forecasting ship resistance |
| CN110110352A (en) * | 2019-03-20 | 2019-08-09 | 浙江海洋大学 | A kind of ship longitudinal direction boat state and Resistance Prediction method based on overlapping grid |
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| 余建伟;朱仁传;缪国平;倪崇本;: "渔政船的阻力计算与预报研究", 水动力学研究与进展A辑, no. 02, 30 March 2011 (2011-03-30) * |
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