3.1 Scene construction of the physical models
3.1.1 Establishment of the blade and the flow field model
The wind turbine blade is modeled with the help of profile airfoil data software in ANSYS[21]. The blade length is set as 1.5m, the width on both sides is 0.270m at the widest part and 0.070m at the narrowest part respectively, and the thickest part of the blade is 0.055m. At 30cm away from the blade tip, the wear damage is assigned to the blade by the method of Fixed damage depth. In addition, in the real environment, the working fluid field of the fan blade should be infinite, but this paper belongs to the simulation environment, so we can not set up infinite, so we need to set up a boundary flow field model.In this paper, the blade is taken as the center to set up 2m×2m×5 m, as shown in Fig. 5, the fluid type is wet air, and the air velocity and humidity are the experimental data.The blades are placed horizontally in the fluid domain to simulate the wind field environment of a single blade.
3.1.2 Material properties
The physical parameters of the wind turbine blade test blade body and the damage parts are shown in Table 1[22]. Meanwhile, wet air material is added in the flow field.
Table 1
Physical parameters of specimen of wind turbine blade
region
|
density (kg·m− 3)
|
thermal conductivity (W·m− 1·K− 1)
|
specific heat (J·kg− 1·K− 1)
|
Wind turbine blade body
|
1800
|
0.52
|
535
|
polyurethane
|
2500
|
0.1
|
1300
|
damage
|
2000
|
0.5
|
1260
|
3.1.3 Physical field conditions
1) Physical field of solid fluid heat transfer
Solid selection blade model, fluid selection of 2 * 2 * 5 size fluid domain, fluid attribute is wet air, air humidity value is the experimental measurement data, the initial temperature value is the temperature of each time of the experiment. Define the boundary heat source, in this experiment, the blade was placed outdoors, so only the upper surface of the blade was exposed to sunlight,The measured radiation rate on the blade surface is taken as the measured solar radiation intensity on the blade surface.
2) Physical field of fluid flow
This paper adopts K-\({\epsilon }\) The turbulence model is used to simulate the surface flow field of wind turbine blade. During the simulation process, the inlet and outlet should be defined and their boundary conditions should be given according to the environmental parameters measured in the experiment. The positions of the two are shown in Fig. 5. The wind speed, turbulence intensity and turbulence length are defined at the air inlet, and the wind speed is the data measured in the experimental environment,The turbulence intensity selection software defines the medium intensity turbulence intensity, and its value is 0.1. The turbulence length selection is based on the model. As the name implies, the length value of the fluid model is the defined turbulence length value.The pressure condition is defined at the air outlet, and the pressure value at the outlet is 0.
3) Physical field of solid mechanics
In order to study the influence of wind speed on the stress and strain at the site of blade damage, it is necessary to add a solid mechanical physical field, and then the results of blade surface temperature and wind pressure obtained by solid and fluid heat transfer are added to the solid mechanical physical field for fluid-heat-solid coupling analysis.In the physical field of solid mechanics, it is also necessary to define the fixed constraint and add gravity. According to the idea of cantilever beam, the fixed constraint is added at the root of the blade. At the same time, all domains are selected and gravity acceleration is applied in - Z direction.
3.1.4 multi physical field coupling
1)Non isothermal flow
Non isothermal flow is a multi physical field formed by the coupling of fluid flow physical field and heat transfer physical field-\({\epsilon }\)Solid and fluid heat transfer is selected at the heat transfer interface.
2)Thermal expansion
Thermal expansion is a multi physical field formed by coupling the physical field of heat transfer and the physical field of statics when solving the thermal stress.
3.1.5 Mesh generation
The fluid domain in the model and the mesh generation of the fan blade are all tetrahedral division method. The fluid domain is not the key research object of this paper, so the conventional of the software customization is selected for dividing the size, and the surface temperature and stress changes of the fan blade are the research focus of this paper. Therefore, the mesh size is refined by the software customization, and the mesh division is shown in Fig. 6.
3.2 result analysis
3.2.1 damage detection and analysis
The experimental results at 10:30, 12:30, 14:30 and 16:30 are selected to verify the simulation results, and the results are compared with those of previous physical simulation results using convective heat transfer coefficient instead of wind speed. The results are shown in Fig. 7. From left to right, each group of figures are the experimental results, the physical simulation results using convective heat transfer coefficient instead of wind speed, and the simulation results of fluid thermal solid coupling considering wind speed and air humidity.
Figure 8 show that the simulation results considering wind speed and air humidity are closer to the experimental results than the simulation results using natural convection heat transfer coefficient instead of wind speed.The error values of simulation results and experimental results considering wind speed and air humidity are 1.73%, 0.46%, 0.86% and 1.18%, respectively, while the errors of simulation results and experimental results using natural convection heat transfer coefficient instead of wind speed are 3.46%, 5.24%, 7.76% and 8.64%, respectively, and the accuracy is improved by 1.73%, 4.78%, 6.81% and 7.46%, respectively.Because the natural convection heat transfer coefficient obtained by predecessors' experience is not representative in fact, when the wind speed increases or decreases sharply, and the environmental climate changes, if the natural convection heat transfer coefficient obtained by experience is used to replace the wind speed, although the calculation amount can be reduced to a certain extent, but it will inevitably cause large error.
3.2.2 Influence of wind speed on thermal effect
In order to study the influence of wind speed on blade surface temperature, wind pressure and stress, on the premise that air humidity, ambient temperature and light intensity are the same, ten different wind speeds of 1m/s-10m/s are given to the turbulent inlet respectively, and the relationship between wind speed and blade surface temperature, wind pressure and stress is obtained by numerical model, as shown in Fig. 9.
Figure 9 show that with the increase of wind speed, the temperature of blade surface gradually decreases, the wind pressure increases gradually, and the stress decreases gradually.Because the numerical simulation is based on the infrared nondestructive testing experiment, the blade is flat on the ground, and the wind only blows horizontally on the surface of the blade, so the pressure on the blade is small, that is, the wind speed has little impact on the wind pressure of the blade lying on the ground;With the increase of wind speed, the decrease trend of blade surface temperature is more obvious.The change of stress is mainly affected by temperature and wind pressure. In the experimental situation, the effect of temperature on stress is greater than that of wind pressure, so the stress decreases with the increase of wind speed.
Figure 10 show that the relationship between blade surface temperature and wind speed is power function, and the correlation coefficient between them is 0.99862 after fitting.In heat transfer, wind speed often affects the value of convective heat transfer coefficient, and a large number of studies on the relationship between wind speed and convective heat transfer coefficient show that the relationship between wind speed and heat transfer coefficient is power function. The convective heat transfer coefficient increases gradually with the increase of wind speed. The greater the convective heat transfer coefficient is, the faster the heat transfer between blade surface and air is, and the greater the heat dissipation is, so the temperature gradually decreases,In addition, the relationship between the blade surface temperature and wind speed is also a power function, which is in line with the heat transfer theory.The relationship between temperature and wind speed is expressed as follows
$$T=48.9234{v}^{-0.09945}$$
1
Figure 11 show that the pressure on the blade surface has a power function relationship with the wind speed, and the correlation coefficient is 0.99994 after fitting.The pressure increases with the increase of wind speed.The relationship between pressure and wind speed is expressed as follows
$$\text{P}=0.01118{\text{v}}^{1.98448}$$
3
Figure 12 show that the stress corresponding to the highest temperature point on the blade surface is exponentially related to the wind speed, and the correlation coefficient between the two is 0.98896 after fitting. since the blade is flat on the ground, the wind pressure produced by the wind on the blade surface is very small, and the wind speed has a more obvious effect on the change of temperature, so the influence of temperature on stress is greater than that of wind pressure, so that the stress tends to decrease gradually with the increase of wind speed. The relationship between stress and wind speed is expressed as follows:
$${\sigma }=10.79833-0.57243v+0.0211{v}^{2}$$
3
3.2.3 Influence of wind direction on thermal effect
The simulation results are compared with the experimental results, and they are in good agreement, which can verify the rationality of the fluid-heat-solid coupling physical model. At the same time, in practical engineering application, the wind turbine blade is often connected with the tower wind frame vertically, so the influence of wind direction on it should not be underestimated. Next, the influence of risk on blade surface temperature, wind pressure and stress is studied through two cases of side wind and head wind.
For the sake of the safety of the inspector, the wind turbine must be in the shutdown state during the field infrared nondestructive testing of wind turbine blades. Therefore, in the simulation study, it is not necessary to apply the rotation domain to make the blade rotate, but only to change the position of the air inlet and outlet. At the same time, in order to simplify the calculation, the single blade is still used for the research. The simulation model is shown in Fig. 13.
Figure 14 show that in the case of downwind and headwind wind pressure, the effect of downwind direction on blade surface temperature is greater than that of headwind direction on blade surface temperature, so the temperature of blade under downwind pressure is generally lower than that under adverse wind pressure.In both cases, the temperature of wind turbine blade surface decreases with the increase of wind speed, and the temperature decreases faster when the wind speed is small. When the wind speed increases gradually, the decreasing speed gradually tends to be flat.
Figure 15 show that the force on the surface of the wind turbine blade increases with the increase of the wind speed, regardless of whether the wind turbine blade is subjected to the downwind or the headwind. Moreover, under the same wind speed, the force exerted by the downwind direction on the damaged surface of the wind turbine blade is pressure, and the force exerted by the headwind direction is tensile force, and the value of the force exerted by the downwind direction on the blade surface is obviously greater than that exerted by the headwind direction on the blade surface.
Figure 16 show that under the same wind speed, the stress at the blade damage under the downwind pressure is lower than that at the blade damage under the adverse wind pressure. In both cases, the stress at the damaged part of the fan blade shows a downward trend with the increase of the wind speed, and the downward trend is consistent with the change trend of the temperature with the wind speed. When the wind speed is small, the stress decreases rapidly,The rate of descent gradually flattened.The results show that the influence of temperature on stress is greater than that of wind pressure in the range of measured wind speed.