CN106949095B - The optimization method of Low-pressure axial fan impeller blade - Google Patents
The optimization method of Low-pressure axial fan impeller blade Download PDFInfo
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
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Abstract
本发明公开了低压轴流式通风机叶轮叶片的优化方法。低压轴流式通风机应用广泛,但存在全压低,风量大,叶轮效率低的问题。本发明在待优化叶轮模型的一枚叶片上沿着叶轮径向分成n个截面,得到n个截面的弦长bi、出口几何角β2A(i)及进口气流角β1(i)。绘制草图,草图包括第一线段、第二线段、第三线段、第四线段、第五线段、第六线段、第一圆弧、第二圆弧、第七线段和第八线段。第一圆弧和第二圆弧组成新型线。根据新型线得到n个新的截面,根据n个新的截面得到优化后的叶轮模型。本发明只需知道待优化叶片截面的弦长、进口气流角和出口几何角,就能够对低压轴流式通风机的性能进行优化,大缩短了设计时间和成本。
The invention discloses an optimization method for impeller blades of a low-pressure axial flow fan. Low-pressure axial flow fans are widely used, but there are problems of low total pressure, large air volume, and low impeller efficiency. In the present invention, a blade of the impeller model to be optimized is divided into n sections along the radial direction of the impeller, and the chord length b i , the outlet geometric angle β 2A(i) and the inlet airflow angle β 1(i) of the n sections are obtained. Draw a sketch, the sketch includes the first line segment, the second line segment, the third line segment, the fourth line segment, the fifth line segment, the sixth line segment, the first arc, the second arc, the seventh line segment and the eighth line segment. The first arc and the second arc form a new type of line. According to the new line, n new sections are obtained, and the optimized impeller model is obtained according to the n new sections. The present invention can optimize the performance of the low-pressure axial flow fan only by knowing the chord length of the blade section to be optimized, the inlet flow angle and the outlet geometric angle, greatly reducing the design time and cost.
Description
技术领域technical field
本发明属于通风机叶轮技术领域,具体涉及一种低压轴流式通风机叶轮叶片的优化方法。The invention belongs to the technical field of fan impellers, and in particular relates to an optimization method for blades of a low-pressure axial flow fan impeller.
背景技术Background technique
低压轴流式通风机作为通风、暖通、冷却、空调和输运等工业设备和家用电器的主要动力,得到广泛应用。轴流风机的气动特点是全压低,风量大,叶轮效率低,原因是其叶片和管道之间有间隙,叶顶有二次流,叶根与轮毂相连,分离流也很严重,叶根和叶顶附近有大量的漩涡,甚至回流,造成很大的流动损失。Low-pressure axial flow fans are widely used as the main power of industrial equipment and household appliances such as ventilation, HVAC, cooling, air conditioning and transportation. The aerodynamic characteristics of the axial flow fan are low total pressure, large air volume, and low impeller efficiency. The reason is that there is a gap between the blade and the pipe, there is a secondary flow at the top of the blade, the blade root is connected to the hub, and the separation flow is also serious. There are a large number of vortices near the tip of the blade, and even backflow, causing a large flow loss.
在轴流通风机中,气流经过叶片时的压力损失是非常复杂的,沿叶片高度的压力损失分布是不均匀的。在叶片平均半径处,压力损失比较小,而且压力损失主要集中在叶片尾流中很窄的区域里;在靠近叶片平均半径的叶道中间部分,压力损失也都比较小,而且比较均匀;但在靠近轮毂和机壳附近,压力损失的区域扩大了,而且压力损失的数值也有所增加。那是由于当气流流过叶道时,气流与叶片间存在相对运动,于是它们之间有了作用力,而且叶片凹面的压力要大于叶片凸面的压力。因此,在相邻的两个叶片之间,从一个叶片的凹面到另一个叶片的凸面之间存在横向压力梯度,这个横向压力梯度随着升力系数的增加而增大。另一方面,气流是以曲线运动形式经过叶栅的,于是产生了离心力,该离心力的方向是从一个叶片的凸面指向相邻叶片的凹面。在沿着叶片高度的中间部分,相邻叶片之间的横向压力梯度与气流的离心力所平衡,所以气流不会产生横向方向的流动。但是在叶片根部和顶端情况则不同。例如,在叶片根部,轮毂表面附面层里的气流压力与附面层外面的气流压力是相同的,而附面层里面的气流速度随着向轮毂表面的接近而降低,并且趋向于零。因而在附面层里面存在着横向压力梯度,但是却没有或者很少有气流的离心力,于是附面层的横向梯度压力不能被平衡,附面层内的气体会出现从一个叶片的凹面流向相邻叶片的凸面的横向流动,在叶片凹面附近的附面层里的压力有所降低,而在相邻叶片的凸面附近,压力却有所增加,于是形成了漩涡。这些漩涡被主气流所带走,在叶片尾端的后面,这些漩涡逐渐转变为热能损耗掉,这种损失在叶片根部和顶端都有。所以轴流风机的设计和优化的目标就是要减小径向速度,使轴向速度更加均匀,提升轮毂和轮盖处的轴向速度,并提升叶片的做功能力等,从而使风机效率和全压得到提升。In an axial flow fan, the pressure loss when the airflow passes through the blades is very complicated, and the pressure loss distribution along the height of the blades is uneven. At the average radius of the blade, the pressure loss is relatively small, and the pressure loss is mainly concentrated in a very narrow area in the wake of the blade; in the middle part of the blade path close to the average radius of the blade, the pressure loss is relatively small and relatively uniform; but Near the hub and casing, the area of pressure loss is enlarged, and the value of pressure loss also increases. That is because when the airflow flows through the blade passage, there is relative motion between the airflow and the blade, so there is a force between them, and the pressure on the concave surface of the blade is greater than the pressure on the convex surface of the blade. Therefore, between two adjacent blades, there is a lateral pressure gradient from the concave surface of one blade to the convex surface of the other blade, and this lateral pressure gradient increases with the increase of the lift coefficient. On the other hand, the airflow passes through the cascades in a curvilinear motion, which creates a centrifugal force directed from the convex surface of one blade to the concave surface of the adjacent blade. In the mid-section along the height of the blades, the lateral pressure gradient between adjacent blades is balanced by the centrifugal force of the airflow, so that the airflow does not flow in a lateral direction. However, the situation is different at the root and tip of the blade. For example, at the blade root, the airflow pressure in the boundary layer on the hub surface is the same as the airflow pressure outside the boundary layer, while the airflow velocity inside the boundary layer decreases as it approaches the hub surface and tends to zero. Therefore, there is a transverse pressure gradient in the boundary layer, but there is no or very little centrifugal force of the airflow, so the transverse gradient pressure in the boundary layer cannot be balanced, and the gas in the boundary layer will flow from the concave surface of one blade to the other. The lateral flow of the convex surface adjacent to the blade reduces the pressure in the boundary layer near the concave surface of the blade, while the pressure increases near the convex surface of the adjacent blade, thus forming a vortex. These eddies are carried away by the main air flow, and behind the blade tip, these eddies are gradually converted into heat energy loss, which occurs at the root and tip of the blade. Therefore, the design and optimization goal of the axial flow fan is to reduce the radial speed, make the axial speed more uniform, increase the axial speed at the hub and wheel cover, and improve the working ability of the blades, etc., so that the fan efficiency and All-in pressure is boosted.
发明内容Contents of the invention
本发明的目的在于针对现有技术的不足,提供一种低压轴流式通风机叶轮叶片的优化方法。The object of the present invention is to provide an optimization method for the impeller blades of a low-pressure axial flow fan aiming at the deficiencies of the prior art.
本发明的步骤具体如下:The steps of the present invention are specifically as follows:
步骤一、建立待优化的叶轮模型。叶轮的轮毂侧壁与叶片外端的间距为n×s。在该模型的一枚叶片上取垂直叶轮径向的n个截面及该n个截面对应的型线,相邻两个截面间距均为s,最内侧的截面与轮毂侧壁相切,3≤n≤20。分别测出n个截面的弦长bi,i=1,2,3,...,n,及出口几何角β2A(i),i=1,2,3,...,n。去除模型中所有的倒角及圆角,得到简化模型。用网格划分软件对简化模型进行网格划分及数值模拟计算,得到待优化叶轮模型的全压及n个截面进口处的三个速度分量;根据三个速度分量画出速度三角形,从而得到n个截面的进口气流角β1(i),i=1,2,3,...,n。将该模型的全压值赋值给Z1。Step 1: Establish the impeller model to be optimized. The distance between the hub side wall of the impeller and the outer end of the blade is n×s. Take n sections perpendicular to the radial direction of the impeller on one blade of the model and the corresponding profiles of the n sections, the distance between two adjacent sections is s, and the innermost section is tangent to the hub side wall, 3≤ n≤20. Measure the chord length b i of n sections, i=1, 2, 3,..., n, and the outlet geometric angle β 2A(i) , i=1, 2, 3,..., n. Remove all chamfers and rounded corners in the model to obtain a simplified model. Use meshing software to mesh the simplified model and perform numerical simulation calculations to obtain the total pressure of the impeller model to be optimized and the three velocity components at the inlet of n sections; draw the velocity triangle according to the three velocity components to obtain n Inlet airflow angle β 1(i) of each section, i=1, 2, 3, . . . , n. Assign the full pressure value of the model to Z1.
步骤二、将1赋值给i。Step 2. Assign 1 to i.
步骤三、绘制草图,草图包括第一线段、第二线段、第三线段、第四线段、第五线段、第六线段、第一圆弧、第二圆弧、第七线段和第八线段。第一线段与第二线段互为平行线,第三线段的两端端点分别在第一线段和第二线段上,第三线段的长度为bi。第四线段与第六线段分别设置在第五线段的两侧,第四线段、第六线段的一端端点与第三线段的两端端点分别重合。第四线段的另一端端点在第五线段上。第六线段的另一端端点与第五线段的一端端点重合,且第六线段与第五线段等长。第五线段与第三线段相交。第一圆弧的圆心为第四线段与第五线段的交点,两端点分别为第四线段与第五线段的不重合端点。第二圆弧的圆心为第五线段与第六线段的交点,两端点分别为第五线段与第六线段的不重合端点。第一圆弧在第二圆弧的顺时针方向上。第七线段与第一圆弧在第四线段端点上的切线重合,第七线段与第一线段的夹角为β1(i),第八线段与第二圆弧在第六线段端点上的切线重合,第八线段与第二线段的夹角为β2A(i)。第七线段与第八线段的夹角为θc,求得θc=β2A(i)-β1(i)。第四线段与第五线段的夹角为α1,取α1=0.6θc;第六线段与第五线段的夹角为α2,取α2=0.4θc。第三线段与第七线段的夹角为α1,第三线段与第八线段的夹角为α2。Step 3. Draw a sketch, the sketch includes the first line segment, the second line segment, the third line segment, the fourth line segment, the fifth line segment, the sixth line segment, the first arc, the second arc, the seventh line segment and the eighth line segment . The first line segment and the second line segment are parallel to each other, the endpoints of the third line segment are on the first line segment and the second line segment respectively, and the length of the third line segment is b i . The fourth line segment and the sixth line segment are respectively arranged on both sides of the fifth line segment, and the end points of one end of the fourth line segment and the sixth line segment coincide with the end points of both ends of the third line segment respectively. The other end point of the fourth line segment is on the fifth line segment. The other endpoint of the sixth line segment coincides with the one end point of the fifth line segment, and the sixth line segment and the fifth line segment have the same length. The fifth line segment intersects the third line segment. The center of the first arc is the intersection point of the fourth line segment and the fifth line segment, and the two end points are non-coincident end points of the fourth line segment and the fifth line segment respectively. The center of the second circular arc is the intersection point of the fifth line segment and the sixth line segment, and the two end points are non-coincident end points of the fifth line segment and the sixth line segment respectively. The first arc is in the clockwise direction of the second arc. The seventh line segment coincides with the tangent of the first arc at the end point of the fourth line segment, the angle between the seventh line segment and the first line segment is β 1(i) , and the eighth line segment and the second arc are at the end point of the sixth line segment The tangents of are coincident, and the angle between the eighth line segment and the second line segment is β 2A(i) . The included angle between the seventh line segment and the eighth line segment is θ c , and θ c = β 2A(i) - β 1(i) is obtained. The angle between the fourth line segment and the fifth line segment is α 1 , and α 1 =0.6θ c ; the angle between the sixth line segment and the fifth line segment is α 2 , and α 2 =0.4θ c . The included angle between the third line segment and the seventh line segment is α 1 , and the included angle between the third line segment and the eighth line segment is α 2 .
步骤四、第一圆弧和第二圆弧组成新型线。对新型线叠加厚度值a,1mm≤a≤6mm,得到圆弧形截面;或在翼型数据库选取一种翼型,得到翼型截面的厚度分布,翼型截面的厚度分布结合新型线得到翼型截面。将所得的圆弧形截面或翼型截面记录为第i个截面。Step 4: The first arc and the second arc form a new type of line. Superimpose the thickness value a of the new line, 1mm≤a≤6mm, to obtain a circular arc section; or select an airfoil from the airfoil database to obtain the thickness distribution of the airfoil section, and combine the thickness distribution of the airfoil section with the new line to obtain the airfoil type section. Record the resulting arc-shaped section or airfoil section as the i-th section.
步骤五、i增大1,若i≤n,重复步骤三和四,重复过程中步骤四所得截面均为圆弧形截面或均为翼型截面。否则,进入下一步骤。Step 5, increase i by 1, if i≤n, repeat steps 3 and 4, the sections obtained in step 4 during the repetition process are all arc-shaped sections or airfoil sections. Otherwise, go to the next step.
步骤六、将所得的n个截面每相邻两个截面间距s平行设置,并放入两个同轴且半径差为n×s的圆柱面之间。n个截面的几何中心均在一条垂直于n个截面的直线上,且该直线垂直相交于两圆柱面的轴线。n个截面根据弦长大小依次排布,且弦长最长的截面位于最内侧。弦长最长的截面与直径较小圆柱面相切。n个截面的第一线段相互平行,并与两圆柱面的轴线垂直。n个截面的第一线段位于同一侧。根据n个截面得到叶片雏形。延伸叶片雏形的两端,使得叶片雏形的外端完全穿过直径较大圆柱面,叶片雏形的内端完全穿过直径较小圆柱面。两圆柱面之间的叶片雏形即为优化后叶片。以两圆柱面轴线为阵列中心,沿圆周均布阵列出m枚叶片,4≤m≤10。为m枚叶片绘制轮毂,得到优化后的叶轮模型。Step 6: Arranging the obtained n sections in parallel with a distance s between two adjacent sections, and placing them between two coaxial cylindrical surfaces with a radius difference of n×s. The geometric centers of the n sections are all on a straight line perpendicular to the n sections, and the straight line perpendicularly intersects the axes of the two cylindrical surfaces. The n sections are arranged in sequence according to the chord length, and the section with the longest chord length is located on the innermost side. The section with the longest chord is tangent to the cylindrical surface with the smaller diameter. The first line segments of the n sections are parallel to each other and perpendicular to the axes of the two cylindrical surfaces. The first line segments of the n sections are on the same side. Obtain the prototype of the blade according to the n sections. The two ends of the blade rudiment are extended so that the outer end of the blade rudiment completely passes through the larger-diameter cylindrical surface, and the inner end of the blade rudiment completely passes through the smaller-diameter cylindrical surface. The prototype of the blade between the two cylindrical surfaces is the optimized blade. Taking the axes of the two cylindrical surfaces as the array center, m blades are evenly distributed along the circumference, and 4≤m≤10. Draw the hub for m blades to obtain the optimized impeller model.
步骤七、在步骤六所建模型的一枚叶片上取垂直叶轮径向的n个截面及该n个截面对应的型线,相邻截面间距均为s,最内侧的截面与轮毂侧壁相切。分别测出n个截面的弦长bi,i=1,2,3,...,n,及出口几何角β2A(i),i=1,2,3,...,n。去除步骤六所建模型中所有的倒角及圆角,得到新简化模型。用网格划分软件对新简化模型网格划分,并进行数值模拟计算,得到步骤六所建模型的全压及n个截面进口处的三个速度分量;根据三个速度分量画出速度三角形,从而得到n个截面的进口气流角β1(i),i=1,2,3,...,n。将该模型的全压值赋值给Z2。Step 7. On a blade of the model built in step 6, take n sections perpendicular to the radial direction of the impeller and the corresponding molding lines of the n sections. cut. Measure the chord length b i of n sections, i=1, 2, 3,..., n, and the outlet geometric angle β 2A(i) , i=1, 2, 3,..., n. Remove all chamfers and rounded corners in the model built in step 6 to obtain a new simplified model. Use meshing software to mesh the new simplified model, and perform numerical simulation calculations to obtain the total pressure of the model built in step 6 and the three velocity components at the entrance of n sections; draw a velocity triangle according to the three velocity components, Thus, the inlet airflow angle β 1(i) of n sections is obtained, i=1, 2, 3, . . . , n. Assign the full pressure value of the model to Z2.
步骤八、若Z2减去Z1所得值大于k,3Pa≤k≤8Pa,将Z2的值赋值给Z1,并重复步骤二、三、四、五、六和七。否则,优化结束。Step 8. If the value obtained by subtracting Z1 from Z2 is greater than k, and 3Pa≤k≤8Pa, assign the value of Z2 to Z1, and repeat steps 2, 3, 4, 5, 6 and 7. Otherwise, optimization ends.
步骤六中得到叶片雏形的方法如下:将n个截面的轮廓线在solidworks中进行“放样曲面”操作,平滑过渡生成叶片雏形。The method of obtaining the prototype of the blade in step 6 is as follows: perform the "lofting surface" operation on the contour lines of n sections in solidworks, and generate the prototype of the blade with a smooth transition.
步骤六中延伸叶片雏形两端的方法如下:将叶片雏形在solidworks中进行“曲面延伸”操作。The method of extending both ends of the blade prototype in step six is as follows: perform the "surface extension" operation on the blade prototype in solidworks.
步骤四中选取的翼型为NACA0012。The airfoil selected in step 4 is NACA0012.
步骤八中k的值为5Pa。The value of k in step 8 is 5Pa.
本发明具有的有益效果是:The beneficial effects that the present invention has are:
1、本发明结合流体机械、三维建模和CFD,通过叶片截面的弦长、进口气流角和出口几何角,就能够对低压轴流式通风机的性能进行优化,大大缩短了设计时间和成本。1. The present invention combines fluid machinery, three-dimensional modeling and CFD, and can optimize the performance of the low-pressure axial flow fan through the chord length of the blade section, the inlet airflow angle and the outlet geometric angle, which greatly shortens the design time and cost .
2、本发明具有重复的优化步骤单元,重复执行优化步骤单元,即可完成对低压轴流式通风机性能的多次优化。2. The present invention has repeated optimization step units, and repeated execution of the optimization step units can complete multiple optimizations of the performance of the low-pressure axial flow fan.
3、本发明第一次执行优化步骤单元,低压轴流式通风机的全压大幅提升,但效率略有下降;执行后续优化步骤单元,低压轴流式通风机的效率基本保持不变,全压会持续提升。3. When the present invention executes the optimization step unit for the first time, the total pressure of the low-pressure axial flow fan is greatly improved, but the efficiency is slightly reduced; when the follow-up optimization step unit is executed, the efficiency of the low-pressure axial flow fan remains basically unchanged, and the overall The pressure will continue to increase.
附图说明Description of drawings
图1为待优化叶轮模型的立体图;Fig. 1 is the perspective view of impeller model to be optimized;
图2为本发明中绘制叶片截面型线的草图。Fig. 2 is a sketch for drawing blade cross-section molding lines in the present invention.
具体实施方式Detailed ways
以下结合附图对本发明作进一步说明。The present invention will be further described below in conjunction with accompanying drawing.
低压轴流式通风机叶轮叶片的优化方法的具体步骤如下:The specific steps of the optimization method for the impeller blades of the low-pressure axial flow fan are as follows:
步骤一、建立待优化的叶轮模型如图1所示,叶轮的轮毂侧壁与叶片外端的间距为8s。在该模型的一枚叶片上取垂直叶轮径向的八个截面及该八个截面对应的型线,相邻截面间距均为s,最内侧的截面与轮毂侧壁相切。分别测出八个截面的弦长bi,i=1,2,3,…,8,及出口几何角β2A(i),i=1,2,3,…,8。去除模型中所有的倒角及圆角,得到简化模型。用网格划分软件对简化模型进行网格划分及数值模拟计算,得到待优化叶轮模型的全压及八个截面进口处的三个速度分量;根据三个速度分量画出速度三角形,从而得到八个截面的进口气流角β1(i),i=1,2,3,…,8。将待优化叶轮模型的全压值赋值给Z1。Step 1: Establishing the impeller model to be optimized As shown in Figure 1, the distance between the hub side wall of the impeller and the outer end of the blade is 8s. On one blade of the model, eight sections vertical to the radial direction of the impeller and the corresponding molding lines of the eight sections are taken. The distance between adjacent sections is s, and the innermost section is tangent to the side wall of the hub. The chord lengths b i of the eight sections are respectively measured, i=1, 2, 3,...,8, and the outlet geometric angle β 2A(i) , i=1, 2, 3,...,8. Remove all chamfers and rounded corners in the model to obtain a simplified model. The simplified model is meshed and numerically simulated by the meshing software, and the total pressure of the impeller model to be optimized and the three velocity components at the inlet of the eight sections are obtained; the velocity triangle is drawn according to the three velocity components, and the eight Inlet airflow angle β 1(i) of each section, i=1, 2, 3, . . . , 8. Assign the total pressure value of the impeller model to be optimized to Z1.
步骤二、将1赋值给i。Step 2. Assign 1 to i.
步骤三、如图2所示,绘制草图,草图包括第一线段1、第二线段2、第三线段3、第四线段4、第五线段5、第六线段6、第一圆弧7-1、第二圆弧7-2、第七线段8和第八线段9。第一线段1与第二线段2互为平行线,第三线段3的两端端点分别在第一线段1和第二线段2上,第三线段3的长度为bi。第四线段4与第六线段6分别设置在第五线段5的两侧,第四线段4、第六线段6的一端端点与第三线段3的两端端点分别重合。第四线段4的另一端端点在第五线段5上。第六线段6的另一端端点与第五线段5的一端端点重合,且第六线段6与第五线段5等长。第五线段5与第三线段3相交。第一圆弧7-1的圆心为第四线段4与第五线段5的交点,两端点分别为第四线段4与第五线段5的不重合端点。第二圆弧7-2的圆心为第五线段5与第六线段6的交点,两端点分别为第五线段5与第六线段6的不重合端点。第一圆弧7-1在第二圆弧7-2的顺时针方向上。第七线段8与第一圆弧7-1在第四线段4端点上的切线重合,第七线段8与第一线段1的夹角为β1(i),第八线段9与第二圆弧7-2在第六线段6端点上的切线重合,第八线段9与第二线段2的夹角为β2A(i)。第七线段8与第八线段9的夹角为θc,求得θc=β2A(i)-β1(i)。第四线段4与第五线段5的夹角为α1,取α1=0.6θc;第六线段6与第五线段5的夹角为α2,取α2=0.4θc。第三线段3与第七线段8的夹角为α1,第三线段3与第八线段9的夹角为α2。Step 3, as shown in Figure 2, draw a sketch, the sketch includes the first line segment 1, the second line segment 2, the third line segment 3, the fourth line segment 4, the fifth line segment 5, the sixth line segment 6, and the first arc 7 -1, the second arc 7-2, the seventh line segment 8 and the eighth line segment 9. The first line segment 1 and the second line segment 2 are parallel lines to each other, the endpoints of the third line segment 3 are on the first line segment 1 and the second line segment 2 respectively, and the length of the third line segment 3 is b i . The fourth line segment 4 and the sixth line segment 6 are arranged on both sides of the fifth line segment 5 respectively, and one end point of the fourth line segment 4 and sixth line segment 6 coincides with two end points of the third line segment 3 respectively. The other end point of the fourth line segment 4 is on the fifth line segment 5 . The other end point of the sixth line segment 6 coincides with one end point of the fifth line segment 5 , and the sixth line segment 6 is equal in length to the fifth line segment 5 . The fifth line segment 5 intersects the third line segment 3 . The center of the first arc 7 - 1 is the intersection point of the fourth line segment 4 and the fifth line segment 5 , and the two ends are the non-coincident endpoints of the fourth line segment 4 and the fifth line segment 5 respectively. The center of the second arc 7 - 2 is the intersection point of the fifth line segment 5 and the sixth line segment 6 , and the two ends are the non-overlapping endpoints of the fifth line segment 5 and the sixth line segment 6 respectively. The first arc 7-1 is in the clockwise direction of the second arc 7-2. The seventh line segment 8 coincides with the tangent of the first arc 7-1 on the end point of the fourth line segment 4, the angle between the seventh line segment 8 and the first line segment 1 is β 1(i) , the eighth line segment 9 and the second The tangents of the arc 7-2 on the endpoint of the sixth line segment 6 coincide, and the included angle between the eighth line segment 9 and the second line segment 2 is β 2A(i) . The included angle between the seventh line segment 8 and the eighth line segment 9 is θ c , and θ c = β 2A(i) - β 1(i) is obtained. The angle between the fourth line segment 4 and the fifth line segment 5 is α 1 , which is α 1 =0.6θ c ; the angle between the sixth line segment 6 and the fifth line segment 5 is α 2 , and α 2 =0.4θ c . The included angle between the third line segment 3 and the seventh line segment 8 is α 1 , and the included angle between the third line segment 3 and the eighth line segment 9 is α 2 .
步骤四、第一圆弧7-1和第二圆弧7-2组成新型线。对新型线叠加厚度值a,a的值取4mm,得到圆弧形截面;或在翼型数据库选取一种翼型,选取的翼型为NACA0012,得到翼型截面的厚度分布,翼型截面的厚度分布结合新型线得到翼型截面,将所得的圆弧形截面或翼型截面记录为第i个截面。Step 4, the first circular arc 7-1 and the second circular arc 7-2 form a new type of line. For the new line superimposed thickness value a, the value of a is 4mm to obtain a circular arc section; or select an airfoil in the airfoil database, and the selected airfoil is NACA0012 to obtain the thickness distribution of the airfoil section, and the airfoil section The airfoil section is obtained by combining the thickness distribution with the novel line, and the obtained arc-shaped section or airfoil section is recorded as the i-th section.
步骤五、i增大1,若i≤8,重复步骤三和四,重复过程中步骤四所得截面均为圆弧形截面或均为翼型截面。否则,进入下一步骤。Step 5, increase i by 1, if i≤8, repeat steps 3 and 4, the sections obtained in step 4 during the repetition process are all arc-shaped sections or airfoil sections. Otherwise, go to the next step.
步骤六、将所得的八个截面每相邻两个截面间距s平行设置,并放入两个同轴且半径差为8s的圆柱面之间。八个截面的几何中心均在一条垂直于八个截面的直线上,且该直线垂直相交于两圆柱面的轴线。八个截面根据弦长大小依次排布,且弦长最长的截面位于最内侧。弦长最长的截面与直径较小的圆柱面相切。八个截面的第一线段1相互平行,并与两圆柱面的轴线垂直。八个截面的第一线段1均位于同一侧。将八个截面的轮廓线在solidworks中进行“放样曲面”操作,平滑过渡生成叶片雏形。将叶片雏形在solidworks中进行“曲面延伸”操作,使得叶片雏形的外端完全穿过直径较大圆柱面,叶片雏形的内端完全穿过直径较小圆柱面。两圆柱面之间的叶片雏形即为优化后叶片。以两圆柱面轴线为阵列中心,60°为阵列角度,圆周阵列出六枚叶片。为六枚叶片绘制轮毂,得到优化后的叶轮模型。叶片截面型线的第一圆弧靠近叶轮模型的进口,第二圆弧靠近叶轮模型的出口。Step 6: Arrange the obtained eight cross-sections in parallel with the distance s between two adjacent cross-sections, and place them between two coaxial cylindrical surfaces with a radius difference of 8s. The geometric centers of the eight sections are all on a straight line perpendicular to the eight sections, and the straight line perpendicularly intersects the axes of the two cylindrical surfaces. The eight sections are arranged in sequence according to the chord length, and the section with the longest chord length is located on the innermost side. The section with the longest chord is tangent to the cylindrical surface with the smaller diameter. The first line segments 1 of the eight sections are parallel to each other and perpendicular to the axes of the two cylindrical surfaces. The first line segments 1 of the eight sections are all located on the same side. Perform the "lofting surface" operation on the contour lines of the eight sections in solidworks, and make a smooth transition to generate the prototype of the blade. Perform the "surface extension" operation on the blade prototype in solidworks, so that the outer end of the blade prototype completely passes through the larger-diameter cylindrical surface, and the inner end of the blade prototype completely passes through the smaller-diameter cylindrical surface. The prototype of the blade between the two cylindrical surfaces is the optimized blade. With the axes of the two cylinders as the array center and 60° as the array angle, six blades are arrayed in a circle. Draw the hub for six blades to get the optimized impeller model. The first circular arc of the blade section profile is close to the inlet of the impeller model, and the second circular arc is close to the outlet of the impeller model.
步骤七、在步骤六所建模型的一枚叶片上取垂直叶轮径向的八个截面及该八个截面对应的型线,相邻两个截面间距均为s,最内侧的截面与轮毂侧壁相切。分别测出八个截面的弦长bi,i=1,2,3,…,8,及出口几何角β2A(i),i=1,2,3,…,8。去除步骤六所建模型中所有的倒角及圆角,得到新简化模型。用网格划分软件对新简化模型网格划分,并进行数值模拟计算,得到步骤六所建模型的全压及八个截面进口处的三个速度分量;根据三个速度分量画出速度三角形,从而得到八个截面的进口气流角β1(i),i=1,2,3,…,8。将步骤六所建模型的全压值赋值给Z2。Step 7. On a blade of the model built in step 6, take eight sections perpendicular to the radial direction of the impeller and the corresponding molding lines of the eight sections. The distance between two adjacent sections is s, and the innermost section and the hub side wall tangent. The chord lengths b i of the eight sections are respectively measured, i=1, 2, 3,...,8, and the outlet geometric angle β 2A(i) , i=1, 2, 3,...,8. Remove all chamfers and rounded corners in the model built in step 6 to obtain a new simplified model. Use meshing software to mesh the new simplified model, and perform numerical simulation calculations to obtain the total pressure of the model built in step 6 and the three velocity components at the entrance of the eight sections; draw the velocity triangle according to the three velocity components, Thus, the inlet airflow angles β 1(i) of eight sections are obtained, i=1, 2, 3, . . . , 8. Assign the full pressure value of the model built in step 6 to Z2.
步骤八、若Z2减去Z1所得值大于5Pa,将Z2的值赋值给Z1,并重复执行步骤二、三、四、五、六和七。否则,优化结束。Step 8. If the value obtained by subtracting Z1 from Z2 is greater than 5Pa, assign the value of Z2 to Z1, and repeat steps 2, 3, 4, 5, 6 and 7. Otherwise, optimization ends.
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