CN116467812A - A Non-linear Blade Tip Clearance Structure and Design Method of Centrifugal Compressor - Google Patents
A Non-linear Blade Tip Clearance Structure and Design Method of Centrifugal Compressor Download PDFInfo
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Abstract
本发明公开了一种离心压缩机非线性叶顶间隙结构及设计方法,属于离心式叶轮机械技术领域,包括:非线性叶顶间隙分布规律:C=15.71L5‑53.058L4+61.664L3‑26.422L2+1.433L+1.667,其中C为无量纲间隙高度,C=t/tT,t为叶顶间隙高度,tT为叶片尾缘轴向间隙高度;L为叶轮叶顶无量纲叶片弦长,L=l/l0,其中l为叶片叶顶任意点至前缘点弦线长度,l0为叶片叶顶弦线总长度,L∈[0,1],0代表叶片前缘,1代表叶片尾缘;其特征在于叶顶间隙高度沿叶片弦长非线性变化,叶轮流道弯折处叶片中点间隙高度最小,且叶片尾缘轴向间隙高度小于叶片前缘径向间隙高度。本发明提出的非线性叶顶间隙综合考虑了叶顶泄露流动和叶轮形变的问题,有针对性地抑制了间隙内部的回流和跨叶片横向泄露流动,同时保证了离心叶轮的安全运行。
本发明公开了一种离心压缩机非线性叶顶间隙结构及设计方法,属于离心式叶轮机械技术领域,包括:非线性叶顶间隙分布规律:C=15.71L 5 ‑53.058L 4 +61.664L 3 ‑26.422L 2 +1.433L+1.667,其中C为无量纲间隙高度,C=t/t T ,t为叶顶间隙高度,t T为叶片尾缘轴向间隙高度;L为叶轮叶顶无量纲叶片弦长,L=l/l 0 ,其中l为叶片叶顶任意点至前缘点弦线长度,l 0为叶片叶顶弦线总长度,L∈[0,1],0代表叶片前缘,1代表叶片尾缘;其特征在于叶顶间隙高度沿叶片弦长非线性变化,叶轮流道弯折处叶片中点间隙高度最小,且叶片尾缘轴向间隙高度小于叶片前缘径向间隙高度。 The non-linear blade tip clearance proposed by the present invention comprehensively considers the problems of blade tip leakage flow and impeller deformation, specifically suppresses backflow inside the gap and cross-blade lateral leakage flow, and at the same time ensures safe operation of the centrifugal impeller.
Description
技术领域technical field
本发明属于离心式叶轮机械技术领域,具体涉及一种离心压缩机非线性叶顶间隙结构及设计方法。The invention belongs to the technical field of centrifugal impeller machinery, and in particular relates to a nonlinear blade tip clearance structure and a design method of a centrifugal compressor.
背景技术Background technique
离心压缩机是一种常见的流体增压设备,其一般由转动元件(叶轮)和固定元件(扩压器和蜗壳)组成,由于压缩流体介质的不同,离心压缩机广泛应用于制冷、石油、化工等领域。Centrifugal compressor is a common fluid pressurization equipment, which is generally composed of rotating elements (impeller) and fixed elements (diffuser and volute). Due to the different compressed fluid media, centrifugal compressors are widely used in refrigeration, petroleum, chemical and other fields.
强度性能好、制造工艺难度小的半开式叶轮是离心压缩机常用的叶轮形式,但半开式叶轮与轮盖之间具有一定间隙,造成流道内部产生泄露。叶顶间隙产生的泄露损失是离心压缩机内损失的主要来源,危害压气机的稳定性和增压能力,合理的叶顶间隙结构设计有利于抑制叶顶泄露及其产生的相关流动损失,从而提高离心压缩机的效率。The semi-open impeller with good strength and low manufacturing process is a common impeller form for centrifugal compressors, but there is a certain gap between the semi-open impeller and the wheel cover, which causes leakage inside the flow channel. The leakage loss caused by the blade tip clearance is the main source of the internal loss of the centrifugal compressor, which endangers the stability and boosting capacity of the compressor. A reasonable blade tip clearance structure design is conducive to suppressing the blade tip leakage and related flow loss, thereby improving the efficiency of the centrifugal compressor.
常规的离心压缩机叶顶间隙设计包括均匀常数叶顶间隙和前缘至尾缘线性变化叶顶间隙,其只能通过调整间隙大小实现间隙泄露的控制。此外,现有关于叶顶泄露现象的解决方案主要包括两种:一种是在叶轮叶片叶顶和固定元件表面设置磨损涂层或密封结构;另一种是设计叶顶间隙高度调整机构控制叶顶间隙的变化。然而,现有方案需要采用成本较高的材料或者额外的系统结构,不仅对压缩机的结构强度和制造工艺提出了挑战,而且对整机运行的可靠性产生更高的要求。Conventional centrifugal compressor blade tip clearance design includes uniform constant blade tip clearance and linearly changing tip clearance from leading edge to trailing edge, which can only realize the control of clearance leakage by adjusting the size of the clearance. In addition, the existing solutions to the tip leakage phenomenon mainly include two types: one is to set wear coating or sealing structure on the surface of the impeller blade tip and the fixed element; the other is to design a tip clearance height adjustment mechanism to control the change of the tip clearance. However, the existing solutions require the use of high-cost materials or additional system structures, which not only poses challenges to the structural strength and manufacturing process of the compressor, but also creates higher requirements for the reliability of the overall machine operation.
发明内容Contents of the invention
针对现有技术的不足,本发明拟解决的技术问题是,提供一种离心压缩机非线性叶顶间隙结构及设计方法。所述设计方法从叶顶间隙结构本身出发,为非线性叶顶间隙,以抑制离心压缩机叶轮与固定元件之间的泄露流动,减少叶顶泄露流对离心压缩机压比、效率和稳定性的影响。Aiming at the deficiencies of the prior art, the technical problem to be solved by the present invention is to provide a non-linear blade tip clearance structure and design method of a centrifugal compressor. The design method starts from the blade tip clearance structure itself, which is a nonlinear blade tip clearance, so as to suppress the leakage flow between the impeller of the centrifugal compressor and the fixed element, and reduce the influence of the blade tip leakage flow on the pressure ratio, efficiency and stability of the centrifugal compressor.
为解决上述问题,本发明的技术方案是:For solving the problems referred to above, technical scheme of the present invention is:
第一方面,本发明提供一种离心压缩机非线性叶顶间隙结构,由蜗壳轮盖子午型线与叶片叶顶子午型线相互匹配构成非线性叶顶间隙,所述非线性叶顶间隙分布满足下述式子:In the first aspect, the present invention provides a non-linear blade tip clearance structure of a centrifugal compressor. The meridian line of the volute wheel cover and the meridian line of the blade tip match each other to form a nonlinear tip clearance. The distribution of the nonlinear tip clearance satisfies the following formula:
C=15.71L5-53.058L4+61.664L3-26.422L2+1.433L+1.667C=15.71L 5 -53.058L 4 +61.664L 3 -26.422L 2 +1.433L+1.667
其中,C为无量纲间隙高度,C=t/tT,t为叶顶间隙高度,tT为叶片尾缘轴向间隙高度;L为叶轮叶顶无量纲叶片弦长,L=l/l0,其中l为叶片叶顶任意点至前缘点弦线长度,l0为叶片叶顶弦线总长度,L∈[0,1],0代表叶片前缘,1代表叶片尾缘;Among them, C is the dimensionless clearance height, C=t/t T , t is the blade top clearance height, t T is the axial clearance height of the blade trailing edge; L is the dimensionless blade chord length of the impeller blade top, L=l/l 0 , where l is the length of the chord line from any point on the blade top to the leading edge point, l 0 is the total length of the blade top chord line, L∈[0,1], 0 represents the blade leading edge, and 1 represents the blade trailing edge;
此时的叶顶间隙高度指蜗壳轮盖子午型线与叶片叶顶子午型线二者之间对应位置的法向距离。The blade tip clearance height at this time refers to the normal distance between the corresponding positions between the meridian line of the volute wheel cover and the meridian line of the blade top.
离心压缩机非线性叶顶间隙结构包括叶片前缘径向间隙高度、叶片中点的叶顶间隙高度、叶片尾缘轴向间隙高度,其中在叶轮流道弯折处的所述叶片中点的叶顶间隙高度最小,且所述叶片尾缘轴向间隙小于所述叶片前缘径向间隙。The nonlinear blade tip clearance structure of the centrifugal compressor includes the radial clearance height of the leading edge of the blade, the height of the blade tip clearance at the midpoint of the blade, and the axial clearance height of the trailing edge of the blade, wherein the blade tip clearance height of the midpoint of the blade at the bend of the impeller flow path is the smallest, and the axial clearance of the trailing edge of the blade is smaller than the radial clearance of the leading edge of the blade.
基于离心压缩机所述叶片叶顶子午型线,并按照所述非线性叶顶间隙分布规律偏移得到所述蜗壳轮盖子午型线;或者基于离心压缩机所述蜗壳轮盖子午型线,并按照所述非线性叶顶间隙分布规律偏移得到所述叶片叶顶子午型线,实现离心压缩机非线性叶顶间隙。Based on the meridian line of the blade tip of the centrifugal compressor, and offset according to the distribution law of the nonlinear tip clearance to obtain the meridian line of the volute cover; or based on the meridian line of the volute cover of the centrifugal compressor, and offset according to the distribution law of the nonlinear tip clearance, the meridian line of the tip of the blade is obtained to realize the nonlinear tip clearance of the centrifugal compressor.
所述离心压缩机为半开式叶轮离心压缩机,优选为离心压气机。The centrifugal compressor is a semi-open impeller centrifugal compressor, preferably a centrifugal compressor.
第二方面,本发明提供一种离心压缩机非线性叶顶间隙结构设计方法,所述设计方法包括以下步骤:In a second aspect, the present invention provides a method for designing a nonlinear blade tip clearance structure of a centrifugal compressor, the design method comprising the following steps:
确定离心压缩机的种类及工况,蜗壳轮盖子午型线与叶片叶顶子午型线相互匹配构成非线性叶顶间隙,找到叶片前缘、叶片尾缘和叶片中点;Determine the type and working condition of the centrifugal compressor, the meridian line of the volute cover and the meridian line of the blade tip match each other to form a nonlinear tip clearance, and find the leading edge, trailing edge and midpoint of the blade;
根据离心压缩机的实际运行工况,确定叶片前缘、叶片尾缘和叶片中点的各自的法向偏移量;According to the actual operating conditions of the centrifugal compressor, determine the respective normal offsets of the leading edge of the blade, the trailing edge of the blade and the midpoint of the blade;
保持蜗壳轮盖子午型线不变改变叶片叶顶子午型线,在叶片前缘、叶片尾缘和叶片中点这三个点在法向方向按照各自的法向偏移量对蜗壳轮盖子午型线进行整体非线性偏移,得到偏移曲线;或者保持叶片叶顶子午型线不变改变蜗壳轮盖子午型线,在叶片前缘、叶片尾缘和叶片中点这三个点在法向方向按照各自的法向偏移量对叶片叶顶子午型线进行整体非线性偏移,得到偏移曲线;Keep the meridian line of the volute wheel cover unchanged and change the meridian line of the blade top. At the three points of the leading edge of the blade, the trailing edge of the blade and the midpoint of the blade, perform an overall nonlinear offset on the meridian line of the volute wheel cover in the normal direction according to their respective normal offsets to obtain the offset curve; or keep the meridian line of the blade top of the blade unchanged and change the meridian line of the volute wheel cover, and perform an overall nonlinear offset on the meridian line of the blade top in the normal direction at the three points of the leading edge of the blade, the trailing edge of the blade and the midpoint of the blade according to their respective normal offsets. , get the offset curve;
计算偏移曲线与不变子午型线之间的距离得到叶顶间隙高度,在前缘和尾缘之间取80-150个点,获得偏移曲线上每个点的叶顶间隙高度和离心叶轮叶片叶顶子午弦线长度,以叶顶间隙高度和离心叶轮叶片叶顶子午弦线长度分别进行无量纲化处理,之后以叶轮叶顶无量纲叶片弦长L为横坐标,以无量纲间隙高度C为纵坐标进行五次多项式非线性拟合,获得非线性叶顶间隙分布规律,根据非线性叶顶间隙分布规律确定非线性叶顶间隙结构;Calculate the distance between the offset curve and the constant meridian line to obtain the blade tip clearance height, take 80-150 points between the leading edge and the trailing edge, and obtain the blade tip clearance height and the length of the meridian line of the centrifugal impeller blade tip at each point on the offset curve, respectively carry out dimensionless processing on the blade tip clearance height and the length of the centrifugal impeller blade tip meridian line, and then use the dimensionless blade chord length L of the impeller blade top as the abscissa, and use the dimensionless clearance height C as the ordinate to perform quintic polynomial nonlinear fitting, and obtain Non-linear blade tip clearance distribution law, according to the nonlinear blade tip clearance distribution law to determine the nonlinear blade tip clearance structure;
所述无量纲化处理过程是:设定叶片尾缘轴向间隙高度tT,所述轴向为旋转轴的轴向,根据C=t/tT将不同位置处叶顶间隙高度t无量纲化,获得无量纲间隙高度C;The non-dimensionalization processing process is: setting the blade trailing edge axial clearance height t T , the axial direction being the axial direction of the rotating shaft, and dimensionless the blade tip clearance height t at different positions according to C=t/t T to obtain the dimensionless clearance height C;
获得叶片前缘到尾缘的离心叶轮叶片叶顶子午弦线长度,对离心叶轮叶片叶顶子午弦线长度无量纲化得到叶轮叶顶无量纲叶片弦长L,L=l/l0,其中l为叶片叶顶任意点至前缘点弦线长度,l0为叶片叶顶弦线总长度,L∈[0,1],0代表叶片前缘,1代表叶片尾缘。Obtain the meridian chord length of the blade top of the centrifugal impeller from the leading edge to the trailing edge of the blade. Dimensionless the meridian chord length of the blade top of the centrifugal impeller to obtain the dimensionless blade chord length L of the impeller blade.
所述非线性叶顶间隙分布规律为C=15.71L5-53.058L4+61.664L3-26.422L2+1.433L+1.667。The distribution law of the nonlinear tip clearance is C=15.71L 5 -53.058L 4 +61.664L 3 -26.422L 2 +1.433L+1.667.
叶轮流道弯折处的所述叶片中点的叶顶间隙高度最小,且所述叶片尾缘轴向间隙略小于所述叶片前缘径向间隙;叶片前缘、叶片尾缘和叶片中点的各自的法向偏移量分别为0.5个单位、0.3个单位、0.2个单位。The blade tip clearance height at the blade midpoint at the bend of the impeller channel is the smallest, and the blade trailing edge axial clearance is slightly smaller than the blade leading edge radial clearance; the respective normal offsets of the blade leading edge, blade trailing edge, and blade midpoint are 0.5 unit, 0.3 unit, and 0.2 unit, respectively.
对待设计的离心压缩机确定叶片尾缘轴向间隙高度tT,利用非线性叶顶间隙分布规律得到前缘到尾缘叶顶间隙高度t随L的变化形式,进而得到该离心压缩机的非线性叶顶间隙结构。Determine the blade trailing edge axial clearance height t T for the centrifugal compressor to be designed, use the nonlinear blade tip clearance distribution law to obtain the variation form of the leading edge to trailing edge blade tip clearance height t with L, and then obtain the nonlinear blade tip clearance structure of the centrifugal compressor.
与现有技术相比,本发明的有益效果如下:Compared with the prior art, the beneficial effects of the present invention are as follows:
1.本发明设计方法从叶顶间隙结构本身出发,从前缘至尾缘非线性变化的间隙形式,不需要额外的复杂机构和特殊材料,也可以达到较好的叶顶泄露控制效果,结构简单,设计和制造工艺成本低,适用于不同类型离心压缩机间隙设计且易于实现,同时本发明同时考虑离心压缩机的实际运行工况,具有较高的运行安全性和可靠性。1. The design method of the present invention starts from the blade tip clearance structure itself, and the clearance form that varies nonlinearly from the leading edge to the trailing edge does not require additional complicated mechanisms and special materials, and can also achieve a better blade tip leakage control effect. The structure is simple, and the design and manufacturing process costs are low. It is suitable for clearance design of different types of centrifugal compressors and is easy to implement. At the same time, the present invention also considers the actual operating conditions of centrifugal compressors, and has high operational safety and reliability.
2.本发明所述非线性叶顶间隙,通过叶顶间隙高度随叶轮叶顶无量纲叶片弦长的非线性变化,实现了对流道不同位置处间隙流动的控制,能够有效抑制叶顶间隙内的回流现象,提高离心压缩机的运行稳定性,同时减小泄露流在叶轮流道弯折处叶顶附近的摩擦损失和流动损失;有效削弱叶轮流道后段相邻流道间跨叶片间隙泄露流动强度,降低泄露流对叶顶流场二次流和涡流结构的影响,增加叶片载荷,提高离心压缩机的增压能力和整机效率。特别地,对于改善流通流量和叶片展弦比较小、叶顶间隙占比较大的低比转速叶轮离心压缩机内部泄露流动的影响效果较为明显。2. The non-linear blade tip clearance of the present invention realizes the control of the gap flow at different positions of the flow channel through the nonlinear change of the blade tip clearance height with the dimensionless blade chord length of the impeller tip, can effectively suppress the backflow phenomenon in the blade tip clearance, improve the operation stability of the centrifugal compressor, and simultaneously reduce the friction loss and flow loss of leakage flow near the blade tip at the bend of the impeller flow channel; effectively weaken the leakage flow intensity across the blade gap between adjacent flow channels in the rear section of the impeller flow channel, and reduce the impact of leakage flow on the secondary flow and vortex structure of the blade tip flow field. Increase the blade load, improve the supercharging capacity and overall efficiency of the centrifugal compressor. In particular, the effect on improving the circulation flow and the internal leakage flow of the low specific speed impeller centrifugal compressor with a small blade aspect ratio and a large proportion of blade tip clearance is more obvious.
3.本发明通过调整叶轮结构使叶片叶顶子午型线变化,或者通过仅改变蜗壳结构,使蜗壳轮盖子午型线变化,实现对叶顶间隙的非线性分布控制,将最优的非线性叶顶间隙应用于各种类型的离心压缩机中,尤其是低比转速离心压气机。3. The present invention changes the meridian line of the blade top by adjusting the structure of the impeller, or changes the meridian line of the volute wheel cover by only changing the structure of the volute, so as to realize the nonlinear distribution control of the tip clearance, and apply the optimal nonlinear tip clearance to various types of centrifugal compressors, especially low specific speed centrifugal compressors.
附图说明Description of drawings
图1是按照本发明设计方法的非线性间隙离心压气机部分结构示意图;Fig. 1 is a partial structural representation of a non-linear gap centrifugal compressor according to the design method of the present invention;
图2是非线性叶顶间隙结构局部放大图及非线性叶顶间隙分布规律,其中(a)为非线性叶顶间隙结构的局部放大图;(b)为非线性叶顶间隙分布规律图,从前缘到尾缘呈非线性变化。Figure 2 is a partial enlarged view of the nonlinear tip clearance structure and the distribution law of the nonlinear tip clearance. (a) is a partial enlarged view of the nonlinear tip clearance structure; (b) is a nonlinear tip clearance distribution diagram, which changes nonlinearly from the leading edge to the trailing edge.
图3是均匀常数叶顶间隙与非线性叶顶间隙的离心压气机性能对比图。Figure 3 is a performance comparison chart of a centrifugal compressor with a uniform constant blade tip clearance and a nonlinear blade tip clearance.
图中标记:10—蜗壳,11—蜗壳通道,12—无叶扩压器通道,13—蜗壳轮盖子午型线,20—背部法兰,30—旋转轴,40—离心叶轮,41—叶轮主叶片,42—叶轮分流叶片,43—叶片叶顶子午型线,50非线性叶顶间隙,tL—叶片前缘径向间隙高度,tM—叶片中点的叶顶间隙高度,tT—叶片尾缘轴向间隙高度。Marks in the figure: 10—volute, 11—volute channel, 12—vaneless diffuser channel, 13—volute wheel cover meridian, 20—back flange, 30—rotating shaft, 40—centrifugal impeller, 41—main blade of impeller, 42—splitter blade of impeller, 43—meridian line of blade top, 50 nonlinear blade tip clearance, t L -radial clearance height of blade leading edge, t M -blade tip clearance height of blade midpoint, t T -blade trailing edge axial clearance height.
具体实施方式Detailed ways
下面结合附图,对本发明作详细的说明。以下对本发明及其实施方式进行了描述,这种描述没有限制性,实际的实施方式并不局限于此。总而言之如果本领域的普通技术人员受其启示,在不脱离本发明创造宗旨的情况下,不经创造性的设计出与该技术方案相似的结构方式及实施例,均应属于本发明的保护范围。Below in conjunction with accompanying drawing, the present invention is described in detail. The present invention and its embodiments are described below, this description is not limiting, and the actual embodiments are not limited thereto. All in all, if a person of ordinary skill in the art is inspired by it, without departing from the inventive concept of the present invention, without creatively designing a structure and an embodiment similar to the technical solution, it shall fall within the scope of protection of the present invention.
本发明设计方法适用于离心压缩机,下面以离心压气机为例进行说明。The design method of the present invention is applicable to centrifugal compressors, and the centrifugal compressors are taken as an example below for description.
在综合考虑离心压气机叶轮运行安全、运行中的形变和针对叶轮叶片不同位置处叶顶泄露对流动影响程度的情况下,通过改变离心叶轮叶片叶顶子午型线或蜗壳轮盖子午型线,实现叶顶间隙结构的控制来达到前缘至尾缘非线性变化叶顶间隙的目的,获得提升压气机性能的最优的非线性叶顶间隙分布规律。Considering the operation safety of the centrifugal compressor impeller, the deformation during operation, and the impact of the tip leakage at different positions of the impeller blades on the flow, by changing the meridian line of the centrifugal impeller blade tip or the volute cover meridian line, the control of the tip clearance structure is realized to achieve the purpose of nonlinear change of the tip clearance from the leading edge to the trailing edge, and the optimal nonlinear tip clearance distribution law for improving the performance of the compressor is obtained.
本实施例离心压气机的非线性叶顶间隙设计基于:The non-linear tip clearance design of the centrifugal compressor in this embodiment is based on:
一方面,考虑到离心叶轮流道复杂的三维扭曲,流体在叶轮流道内压差的作用下,会产生沿间隙从叶片尾缘至前缘的径向回流和相邻流道间的跨叶片周向间隙流动,特别在叶片中部流道周向和轴向弯折处,间隙泄露流与机匣摩擦损失增加,另外间隙径向回流与周向间隙流动在弯折处作用加剧,加之哥氏力和粘性力的影响,泄露流动对叶顶流场二次流和涡流结构产生扰动,加剧流道内的流动损失,因此,减小叶片中部间隙高度有利于抑制间隙流动的相互作用及其对叶顶流场的扰动;On the one hand, considering the complex three-dimensional distortion of the centrifugal impeller channel, under the action of the pressure difference in the impeller channel, the fluid will produce radial backflow along the gap from the blade trailing edge to the leading edge and cross-blade circumferential gap flow between adjacent flow channels, especially at the circumferential and axial bends of the runner in the middle of the blade, the gap leakage flow and the friction loss of the casing will increase. The structure generates disturbance, which intensifies the flow loss in the flow channel. Therefore, reducing the clearance height in the middle of the blade is beneficial to suppress the interaction of the clearance flow and its disturbance to the flow field on the blade tip;
另一方面,离心压缩机实际运行时,由于离心力、气动压力和热载荷的作用,离心叶轮会产生一定程度的形变,同时考虑叶轮转动时轴系移动,进而造成叶顶间隙高度发生变化。关于离心叶轮流固耦合研究发现,实际运行中离心叶轮叶片前缘和尾缘处形变最大,因此结合叶轮运行安全裕度和可靠性,叶片前尾缘处间隙高度相对增加,此外,叶轮流道下游流体具有较大的周向速度,加剧了叶顶泄露流动,削弱叶轮后段叶片载荷和做功能力,所以,叶片尾缘轴向间隙高度设置应小于前缘径向间隙高度。On the other hand, during the actual operation of the centrifugal compressor, due to the centrifugal force, aerodynamic pressure and thermal load, the centrifugal impeller will be deformed to a certain extent. At the same time, the shafting will move when the impeller rotates, which will cause the tip clearance height to change. The research on the fluid-solid coupling of the centrifugal impeller found that the deformation of the leading and trailing edges of the centrifugal impeller blades is the largest in actual operation. Therefore, considering the safety margin and reliability of the impeller operation, the clearance height at the leading and trailing edges of the blades is relatively increased. In addition, the fluid downstream of the impeller flow channel has a large circumferential velocity, which intensifies the leakage flow of the blade tip and weakens the load and work ability of the blades in the rear section of the impeller. Therefore, the axial clearance height of the trailing edge of the blade should be set smaller than the radial clearance height of the leading edge.
所述非线性叶顶间隙分布规律,即为叶片叶顶子午型线与蜗壳轮盖子午型线之间间隙高度,基于叶片尾缘轴向间隙高度无量纲化后,随叶片弦长的变化规律,叶轮流道弯折处叶片中点的叶顶间隙高度最小,而叶片前缘径向间隙高度和叶片尾缘轴向间隙有所增加,且叶片尾缘轴向间隙高度小于叶片前缘径向间隙高度。The nonlinear blade tip clearance distribution law is the clearance height between the meridian line of the blade tip and the meridian line of the volute cover. Based on the non-dimensionalized axial clearance height of the trailing edge of the blade, the blade tip clearance height at the midpoint of the blade at the bend of the impeller channel is the smallest, while the radial clearance height of the leading edge of the blade and the axial clearance of the trailing edge of the blade increase, and the axial clearance height of the trailing edge of the blade is smaller than the radial clearance height of the leading edge of the blade.
在一些设计中,包括蜗壳和背部法兰,所述蜗壳和背部法兰与离心叶轮装配,构成离心压缩机增压空间,其中蜗壳轮盖子午型线与叶轮叶片叶顶子午型线相互匹配构成非线性叶顶间隙。In some designs, the volute and the back flange are included, and the volute and the back flange are assembled with the centrifugal impeller to form a booster space of the centrifugal compressor, wherein the meridian line of the volute wheel cover matches the meridian line of the impeller blade tip to form a non-linear tip clearance.
一种可能的设计方案,所述非线性叶顶间隙基于已知离心压缩机叶轮叶片叶顶子午型线,并按照所述非线性叶顶间隙分布规律偏移得到蜗壳轮盖子午型线;或者基于已知离心压缩机蜗壳轮盖子午型线,并按照所述非线性叶顶间隙分布规律偏移得到叶轮叶片叶顶子午型线,最后装配得到非线性叶顶间隙。In a possible design scheme, the nonlinear blade tip clearance is based on the known centrifugal compressor impeller blade tip meridian line, and is shifted according to the nonlinear blade tip clearance distribution law to obtain the volute cover meridian line; or is based on the known centrifugal compressor volute wheel cover meridian line, and is shifted according to the nonlinear blade tip clearance distribution law to obtain the impeller blade tip meridian line, and finally assembled to obtain the nonlinear blade tip clearance.
所述无量纲间隙高度C为不同位置处叶顶间隙高度基于叶片尾缘轴向间隙高度tT无量纲化得到,其表达为C=t/tT,其中t为叶顶间隙高度,tT为叶片尾缘轴向间隙高度;The dimensionless clearance height C is obtained by dimensionless the blade tip clearance height at different positions based on the blade trailing edge axial clearance height t T , which is expressed as C=t/t T , where t is the blade tip clearance height, and t T is the blade trailing edge axial clearance height;
所述叶轮叶顶无量纲叶片弦长L是对离心叶轮叶片叶顶子午弦线长度无量纲化得到的,L=l/l0,其中l为叶片叶顶任意点至前缘点弦线长度,l0为叶片叶顶弦线总长度,L∈[0,1],0代表叶片前缘,1代表叶片尾缘。The dimensionless blade chord length L of the impeller blade tip is obtained by dimensionless the length of the meridian chord line of the centrifugal impeller blade blade tip, L=l/l 0 , wherein l is the length of the chord line from any point on the blade tip to the leading edge point, l 0 is the total length of the blade tip chord line, L∈[0,1], 0 represents the leading edge of the blade, and 1 represents the trailing edge of the blade.
根据离心压气机的工况和种类确定叶片前缘、叶片尾缘和叶片中点的各自的法向偏移量,叶片前缘、叶片尾缘和叶片中点的各自的法向偏移量分别为0.5个单位、0.3个单位、0.2个单位;Determine the respective normal offsets of the blade leading edge, blade trailing edge, and blade midpoint according to the operating conditions and types of the centrifugal compressor, and the respective normal offsets of the blade leading edge, blade trailing edge, and blade midpoint are 0.5 units, 0.3 units, and 0.2 units;
保持蜗壳轮盖子午型线13不变改变叶片叶顶子午型线43,在叶片前缘、叶片尾缘和叶片中点这三个点在法向方向按照各自的法向偏移量对蜗壳轮盖子午型线13进行整体非线性偏移,得到偏移曲线;或者保持叶片叶顶子午型线43不变改变蜗壳轮盖子午型线13,在叶片前缘、叶片尾缘和叶片中点这三个点在法向方向按照各自的法向偏移量对叶片叶顶子午型线43进行整体非线性偏移,得到偏移曲线;Keep the meridian line 13 of the volute wheel cover unchanged and change the meridian line 43 of the blade tip, and carry out the overall nonlinear offset to the meridian line 13 of the volute wheel cover in the normal direction at the three points of the leading edge of the blade, the trailing edge of the blade and the midpoint of the blade according to the respective normal offsets to obtain the offset curve; The blade top meridian line 43 is overall nonlinearly offset to obtain an offset curve;
计算偏移曲线与不变子午型线之间的距离得到叶顶间隙高度,在前缘和尾缘之间取100个点,获得偏移曲线上每个点的叶顶间隙高度和离心叶轮叶片叶顶子午弦线长度,以叶顶间隙高度和离心叶轮叶片叶顶子午弦线长度分别进行无量纲化处理,之后以叶轮叶顶无量纲叶片弦长L为横坐标,以无量纲间隙高度C为纵坐标进行五次多项式非线性拟合,获得非线性叶顶间隙分布规律,根据非线性叶顶间隙分布规律确定非线性叶顶间隙结构;Calculate the distance between the offset curve and the constant meridian line to obtain the height of the blade tip clearance. Take 100 points between the leading edge and the trailing edge to obtain the blade tip clearance height and the length of the meridian line of the centrifugal impeller blade top at each point on the deviation curve. The blade tip clearance height and the length of the meridian line of the centrifugal impeller blade top meridian line are respectively used for dimensionless processing. After that, the dimensionless blade chord length L of the impeller blade top is used as the abscissa, and the dimensionless clearance height C is used as the ordinate to perform quintic polynomial nonlinear fitting to obtain a nonlinear blade tip Clearance distribution law, determine the nonlinear blade tip clearance structure according to the nonlinear blade tip clearance distribution law;
离心压缩机非线性叶顶间隙分布规律为:The distribution law of nonlinear blade tip clearance of centrifugal compressor is:
C=15.71L5-53.058L4+61.664L3-26.422L2+1.433L+1.667。C=15.71L 5 -53.058L 4 +61.664L 3 -26.422L 2 +1.433L+1.667.
任意的离心压缩机,由于出口处间隙大小对叶轮做功能力和气动损失影响较为明显,根据其安全运行的设计要求,对某个离心压气机确定合理的叶片尾缘轴向间隙高度tT,利用上述式子得到前缘到尾缘叶顶间隙高度t随L的变化形式,即得到该离心压缩机的非线性叶顶间隙结构。For any centrifugal compressor, the size of the gap at the outlet has a significant impact on the working force and aerodynamic loss of the impeller. According to the design requirements for its safe operation, a reasonable blade trailing edge axial gap height t T is determined for a certain centrifugal compressor. Using the above formula, the variation form of the leading edge to trailing edge blade tip clearance height t with L is obtained, that is, the nonlinear blade tip clearance structure of the centrifugal compressor is obtained.
参阅图1至图3为参照本发明实施例离心压缩机为离心压气机,离心压气机包括蜗壳、离心叶轮和扩压器等几个部分。如图1所示,该离心压气机部分组件包括蜗壳10、背部法兰20、旋转轴30和离心叶轮40,其中蜗壳局部有蜗壳流道11、无叶扩压器流道12和蜗壳轮盖子午型线13;离心叶轮40包括叶轮主叶片41和叶轮分流叶片42,叶轮主叶片与叶轮分流叶片具有相同的叶片叶顶子午型线43。Referring to Fig. 1 to Fig. 3, the centrifugal compressor according to the embodiment of the present invention is a centrifugal compressor, and the centrifugal compressor includes several parts such as a volute, a centrifugal impeller and a diffuser. As shown in Figure 1, the centrifugal compressor partial assembly includes a volute 10, a back flange 20, a rotating shaft 30, and a centrifugal impeller 40, wherein the volute partially has a volute flow channel 11, a vaneless diffuser flow channel 12, and a volute wheel cover meridian line 13;
本示例离心压气机如图1装配后,蜗壳轮盖子午型线13与叶片叶顶子午型线43相互匹配构成非线性叶顶间隙50,为一种非线性叶顶间隙离心压气机,其工作原理为:气体从上方轴向进口进入压气机,并通过旋转轴30带动离心叶轮40转动,在离心力的作用下,将机械能转化为气体的动能和压能,然后经过蜗壳流道11和无叶扩压器流道12,进一步将气体动能转化为压能,最终从右侧蜗壳出口排出。After the centrifugal compressor of this example is assembled as shown in Figure 1, the meridian line 13 of the volute wheel cover and the meridian line 43 of the blade tip match each other to form a nonlinear tip clearance 50, which is a non-linear tip clearance centrifugal compressor. The gas kinetic energy is converted into pressure energy, and finally discharged from the right volute outlet.
本示例中,叶片尾缘轴向间隙高度tT=0.3mm,具体的离心压缩机叶轮根据其几何参数选取,可为其它任何值。本示例离心压气机非线性叶顶间隙50分布满足规律:t=4.713L5-15.917L4+18.499L3-7.927L3+0.43L+0.5,其叶片前缘径向间隙高度tL=0.5mm,叶片中点的叶顶间隙高度tM=0.2mm。根据已知离心叶轮40的叶片叶顶子午型线43按照上述非线性叶顶间隙分布规律偏移得到蜗壳轮盖子午型线13,也可,根据已知离心叶轮40的蜗壳轮盖子午型线13按照上述非线性叶顶间隙分布规律偏移得到叶片叶顶子午型线43,因此,装配后蜗壳轮盖子午型线13与叶片叶顶子午型线43相互匹配构成非线性叶顶间隙50。In this example, the blade trailing edge axial clearance height t T =0.3 mm, the specific centrifugal compressor impeller is selected according to its geometric parameters, and can be any other value. The non-linear tip clearance 50 distribution of the centrifugal compressor in this example satisfies the law: t=4.713L 5 -15.917L 4 +18.499L 3 -7.927L 3 +0.43L+0.5, the blade leading edge radial clearance height t L =0.5mm, and the blade tip clearance height t M at the blade midpoint =0.2mm. The meridian line 43 of the blade tip of the known centrifugal impeller 40 is shifted according to the above-mentioned non-linear blade tip clearance distribution law to obtain the volute cover meridian line 13. It is also possible to obtain the blade tip meridian line 43 based on the offset of the volute cover meridian line 13 of the known centrifugal impeller 40 according to the above-mentioned non-linear blade tip clearance distribution law. Therefore, after assembly, the volute cover meridian line 13 and the blade tip meridian line 43 match each other to form a nonlinear tip clearance 50.
本示例上述非线性叶顶间隙离心压气机,相对于现有的均匀常数叶顶间隙离心压气机,实现了叶片前缘至尾缘叶顶间隙的非线性变化,更好地优化了离心叶轮叶顶间隙的泄露流动,有效抑制叶顶间隙内的回流和跨叶片横向泄露流动,减少了流道内的潜流损失和叶顶泄露相关的流动损失,提高了离心压气机的运行稳定性。如图3所示,该图为分别采用均匀常数叶顶间隙和非线性叶顶间隙的离心压气机整级性能对比,在不同转速下,修正效率=等熵效率/最大等熵效率,图3中上面三组转速数据表示不同间隙结构下的总压比的对比数据,下面三组转速数据表示不同间隙结构下的修正效率的对比数据。可见采用非线性叶顶间隙的离心压气机在三种转速下,效率和总压比均有明显提升。Compared with the existing centrifugal compressor with uniform constant tip clearance, the non-linear tip clearance centrifugal compressor mentioned above in this example realizes the nonlinear change of the tip clearance from the leading edge to the trailing edge, better optimizes the leakage flow in the tip clearance of the centrifugal impeller, effectively suppresses the backflow in the tip clearance and the lateral leakage flow across the blades, reduces the underflow loss in the flow channel and the flow loss related to the tip leakage, and improves the operation stability of the centrifugal compressor. As shown in Figure 3, this figure is a performance comparison of the entire stage of centrifugal compressors using uniform constant blade tip clearance and nonlinear blade tip clearance respectively. At different speeds, correction efficiency = isentropic efficiency/maximum isentropic efficiency. In Figure 3, the upper three sets of speed data represent the comparison data of the total pressure ratio under different clearance structures, and the lower three sets of speed data represent the comparison data of the correction efficiency under different clearance structures. It can be seen that the efficiency and total pressure ratio of the centrifugal compressor with nonlinear blade tip clearance are significantly improved at three speeds.
本发明提出的非线性叶顶间隙综合考虑了叶顶泄露流动和叶轮形变的问题,有针对性地抑制了间隙内部的回流和跨叶片横向泄露流动,同时保证了离心叶轮的安全运行。The non-linear blade tip clearance proposed by the present invention comprehensively considers the problems of blade tip leakage flow and impeller deformation, specifically suppresses backflow inside the gap and cross-blade lateral leakage flow, and at the same time ensures safe operation of the centrifugal impeller.
本发明未述及之处适用于现有技术。What is not mentioned in the present invention is applicable to the prior art.
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