Method for designing vane of fan, compressor and turbine of axial flow type, and vane obtained by the designing

Abstract

Provided are a method for designing a vane, which can reduce peaks of secondary flow losses appearing locally in secondary flow regions and a vane obtained by the designing. The method for designing a vane includes: a step of determining a base vane formed by stacking profiles having airfoil shapes in a spanwise direction along a stacking line which is configured as a smooth curved line having no inflection point or a straight line; and a step of changing the stacking line of the base vane to a smooth wavy curved line which waves in an axial direction of a fan, a compressor or a turbine and has no elbows.

Claims

1. A method for designing a vane of a fan, a compressor or a turbine of an axial flow type, the method comprising: determining a base vane being formed by stacking profiles having airfoil shapes in a spanwise direction along a stacking line which is configured as a smooth curved line having no inflection point or a straight line; and changing the stacking line of the base vane to a smooth wavy curved line which waves solely in an axial direction on a plane including a central axis of the fan, the compressor or the turbine, and a straight line extending in a radial direction; and which has no elbows.

2. The method according to claim 1, wherein the stacking line of the base vane is a line connecting any of leading edges, trailing edges or centers of gravity of the profiles in each spanwise position.

3. The method according to claim 1, wherein the stacking line of the base vane is changed to the wavy curved line only in at least one of a hub region and a tip region of the base vane.

4. The method according to claim 3, wherein when positions in the spanwise direction are expressed as a percentage of a height measured from a hub portion of the base vane to an overall height of the base vane, the hub region is in a range of 0% to 20% span and the tip region is in a range of 80% to 100% span.

5. The method according to claim 1, wherein a pitch of each wave of the smooth wavy curved line satisfies P/Ct=0.67, in which P is the pitch of the wave and Ct is a length of a line segment connecting a leading edge and a trailing edge of the profile.

6. The method according to claim 1, wherein an amplitude of each wave of the smooth wavy curved line satisfies A/C=0.0093, in which A is the amplitude of the wave and C is a length of a camber line of the profile.

7. A vane of a fan, a compressor or a turbine of an axial flow type, the vane being obtained by improving a base vane, wherein the base vane is formed by stacking profiles having airfoil shapes in a spanwise direction along a stacking line which is configured as a smooth curved line having no inflection point or a straight line, and the vane is obtained by changing the stacking line of the base vane to a smooth wavy curved line which waves solely in an axial direction on a plane including a central axis of the fan, the compressor or the turbine, and a straight line extending in a radial direction; and which has no elbows.

8. The vane according to claim 7, wherein the stacking line of the base vane is a line connecting any of leading edges, trailing edges or centers of gravity of the profiles in each spanwise position.

9. The vane according to claim 7, wherein the stacking line of the base vane is changed to the wavy curved line only in at least one of a hub region and a tip region of the base vane.

10. The vane according to claim 9, wherein when positions in the spanwise direction are expressed as a percentage of a height measured from a hub portion of the base vane to an overall height of the base vane, the hub region is in a range of 0% to 20% span and the tip region is in a range of 80% to 100% span.

11. The vane according to claim 7, wherein a pitch of each wave of the smooth wavy curved line satisfies P/Ct=0.67, in which P is the pitch of the wave and Ct is a length of a line segment connecting a leading edge and a trailing edge of the profile.

12. The vane according to claim 7, wherein an amplitude of each wave of the smooth wavy curved line satisfies A/C=0.0093, in which A is the amplitude of the wave and C is a length of a camber line of the profile.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1A is a diagram explaining a method for designing a vane of a fan, a compressor or a turbine of an axial flow type according to an embodiment of the present disclosure and illustrating an overall schematic perspective view of a vane which constitutes a base for designing by the method, that is a base vane.

(2) FIG. 1B is a diagram explaining the method for designing a vane of the fan, the compressor or the turbine of the axial flow type according to the embodiment of the present disclosure and illustrating an overall schematic perspective view of a vane designed by the method, that is, an improved vane.

(3) FIG. 2A is a graph showing spanwise distributions of total pressure loss coefficients in hub regions obtained based on a result of analyzing flows inside inter-vane flow passages of vane cascades which are configured respectively by base vanes and improved vanes.

(4) FIG. 2B is a graph showing spanwise distributions of total pressure loss coefficients in tip regions obtained based on a result of analyzing flows inside the inter-vane flow passages of the vane cascades which are configured respectively by the base vanes and the improved vanes.

MODE FOR CARRYING OUT THE DISCLOSURE

(5) Hereinafter, with reference to the accompanying drawings, an embodiment of the present disclosure will be described in detail.

(6) FIG. 1A and FIG. 1B are diagrams explaining a method for designing a vane of a fan, a compressor or a turbine of an axial flow type according to the embodiment of the present disclosure. FIG. 1A is an overall schematic perspective view illustrating a vane which constitutes a base of designing by the method, that is, a base vane AB. FIG. 1B is an overall schematic perspective view illustrating a vane designed by the method, that is, an improved vane A.

(7) In the method for designing a vane according to the embodiment of the present disclosure, in a first step, the base vane AB which is the base of the designing is determined.

(8) Herein, a case in which as the base vane AB, a two-dimensionally designed stator vane is selected will be described. Note that the base vane AB may be a newly designed vane or may be the existing vane.

(9) As shown in FIG. 1A, the base vane AB is formed by stacking up cross sections (each of these is referred to as a profile) PB, each of which is perpendicular to a radial direction R and has an airfoil shape, in a spanwise direction (longitudinal direction) (this is referred to as stacking).

(10) In general, a mode of stacking is defined by a shape of a line connecting representative points of the profiles in spanwise positions (this is referred to as a stacking line), and as the representative points, conventionally, in a case of the stator vane, leading edges or trailing edges of the profiles are adopted, and in a case of a rotor blade, centers of gravity of the profiles are adopted.

(11) Herein, a case in which a mode of stacking of the base vane AB which is the stator vane is defined by a shape of a stacking line connecting trailing edges TEB of the profiles PB in spanwise positions is assumed. In this case, as shown in FIG. 1A, a stacking line SLB of the base vane AB is a straight line which extends in the radial direction R.

(12) Note that although the base vane AB is illustrated in such a way as to have shapes of the profiles PB in all spanwise positions, which are the same as one another, the base vane AB may be formed by stacking profiles whose shapes are different from one another, depending on the spanwise positions. In addition, although herein, it is assumed that the base vane AB is the two-dimensionally designed vane, the base vane AB may be a three-dimensionally designed vane. In this case, a stacking line SLB of the base vane AB is a smooth curved line which is curved in at least one direction of a circumferential direction and an axial direction, instead of the straight line shown in FIG. 1A. Note that in this case, the curved line is assumed to have no inflection point (that is, a sign of curvature does not change).

(13) In the method for designing a vane according to the embodiment of the present disclosure, in a next step, with the base vane AB in the above-described mode as a reference, by changing only a shape of the stacking line SLB, a vane according to the embodiment of the present disclosure, that is, the improved vane A can be obtained.

(14) Specifically, as shown in FIG. 1B, although a part of a stacking line SL of the improved vane A in a mid-span region MR (region in the middle portion in the spanwise direction) remains as the straight line which extends in the radial direction R as with the stacking line SLB of the base vane AB, parts of the stacking line SL thereof in a hub region HR (region in the vicinity of a hub portion) and a tip region TR (region in the vicinity of a tip portion) are changed to curved lines which wave in the axial direction Z with the radial direction R as a reference.

(15) More strictly speaking, the parts of the stacking line SL in the hub region HR and the tip region TR are wavy curved lines on a plane PL including a central axis (not illustrated) of the fan, the compressor or the turbine of the axial flow type, into which the improved vanes A are mounted. Here, the wavy curved lines are smooth curved lines each having no elbows and can be, for example, sinusoidal lines.

(16) Note that in FIG. 1B, in order to facilitate understanding of features of shapes of the parts of the stacking line SL in the hub region HR and the tip region TR, shapes of the wavy curved lines which wave in the axial direction or specifically, pitches of waves (distances respectively between neighboring ridges in the spanwise direction or respectively between neighboring troughs in the spanwise direction) and amplitudes (distances in the axial direction respectively between neighboring ridges in the spanwise direction or respectively between neighboring troughs in the spanwise direction) are illustrated in an exaggerated manner.

(17) As one example, a pitch P of each of the waves can be set so as to satisfy P/Ct=0.67 with a length of a line segment connecting a leading edge and a trailing edge of the profile (chord length) Ct as a reference and an amplitude A of each of the waves can be set so as to satisfy A/C=0.0093 with a length of a camber line of the profile (camber length) C as a reference.

(18) In addition, the hub region HR and the tip region TR correspond to secondary flow regions in the vicinity of the hub portion and the tip portion and specifically, for example, can be made 0% to 20% span and 80% to 100% span, respectively. Here, the % span is obtained by dividing a height measured from the hub portion of the vane by an overall height of the vane (a height from the hub portion to the tip portion) to obtain a dimensionless value and expressing the dimensionless value as a percentage.

(19) As described above, by making the stacking line SL the wavy curved line in the axial direction, a contour (a curved line connecting points at which pressures are equal to one another, that is, a constant pressure line) of a pressure distribution on a vane surface of the improved vane A in the hub region HR and the tip region TR becomes wavy in the axial direction. It can be said that in the axial positions on the vane surface, the distribution is, when a viewpoint is changed, a distribution in which parts where pressures are high and parts where pressures are low are alternately arranged in the spanwise direction.

(20) The above-described pressure distribution is different from a pressure distribution of the base vane AB, and it is considered that separation of flows occurring locally in the hub region HR and the tip region TR is prevented and effect to reduce peaks of local secondary flow losses which are caused by the above-mentioned separation is exhibited.

(21) Therefore, flows in the inter-vane flow passages of the vane cascades which are constituted of the base vanes AB and the improved vanes A were analyzed by using computational fluid dynamics (CFD). Note that the pitch P and the amplitude A of each of the waves of the stacking line SL of the improved vane A targeted for the analysis were set as illustrated above. Spanwise distributions of total pressure loss coefficients in the hub region HR and the tip region TR, which were obtained based on the results thereof, are shown in FIG. 2A and FIG. 2B.

(22) As shown in FIG. 2A and FIG. 2B, although as to the base vane AB, in an approximately 6% to 7% span of the hub region HR and an approximately 87% to 88% span of the tip region TR, total pressure loss coefficients locally increase (in other words, peaks of secondary flow losses are locally present), as to the improved vane A, total pressure loss coefficients in the above-mentioned portions thereof decrease. A decrease amount of each of the total pressure loss coefficients was approximately 3.4%.

(23) As described above, by employing the method for designing a vane according to the embodiment of the present disclosure, peaks of the secondary flow losses appearing locally in the secondary flow regions can be reduced.

(24) Note that although hereinbefore, a case where the stacking line SL is changed to the wavy curved line which waves in the axial direction only in the hub region HR and the tip region TR is described, the stacking line SL may be changed to the wavy curved line, which waves in the axial direction, over the whole region in the spanwise direction, which includes the mid-span region MR. Also in this case, it is considered that there is a case where by preventing separation of a flow, which occurs locally in the mid-span region MR, a total pressure loss coefficient is reduced.

(25) In addition, the shapes of the wavy curved lines which wave in the axial direction or specifically, the pitches of the waves (the distances respectively between the neighboring ridges in the spanwise direction or respectively between the neighboring troughs in the spanwise direction) and the amplitudes (the distances in the axial direction respectively between the neighboring ridges in the spanwise direction or respectively between the neighboring troughs in the spanwise direction) can be appropriately selected so as to allow the separation of the flows occurring locally in the hub region HR and the tip region TR (as well as the mid-span region MR) to be prevented in consideration of patterns of the secondary flows (or main flows) in these regions. In this case, the shapes of the wavy curved lines in the hub region HR, the mid-span region MR and the tip region TR can be different from one another.

(26) Here, when the method for designing a vane according to the embodiment of the present disclosure described hereinbefore is organized, the method is constituted of the following steps.

(27) (1) The base vane AB which constitutes the base of designing is determined. Here, the base vane AB is formed by stacking the profiles PB having the airfoil shapes in the spanwise direction along the stacking line SLB which is configured as the smooth curved line having no inflection point or the straight line.
(2) By changing the stacking line SLB of the base vane AB to the smooth wavy curved line which waves in the axial direction and has no elbows, the improved vane A is obtained. At this time, the curved line having undergone the change is the stacking line SL of the improved vane A.

(28) In addition, when the shape of the vane (improved vane A) according to the embodiment of the present disclosure is organized, the following results.

(29) The improved vane A can be obtained by improving the base vane AB.

(30) The base vane AB is formed by stacking the profiles PB having the airfoil shapes in the spanwise direction along the stacking line SLB which is configured as the smooth curved line having no inflection point or the straight line.

(31) For the vane (improved vane A), the stacking line SLB of the base vane AB is changed to the smooth wavy curved line which waves in the axial direction and has no elbows. At this time, the curved line having undergone the change is the stacking line SL of the improved vane A.

(32) (Aspects of the Present Disclosure)

(33) A method for designing a vane of a fan, a compressor or a turbine of an axial flow type according to a first aspect of the present disclosure includes: a step of determining a base vane being formed by stacking profiles having airfoil shapes in a spanwise direction along a stacking line which is configured as a smooth curved line having no inflection point or a straight line; and a step of changing the stacking line of the base vane to a smooth wavy curved line which waves in an axial direction of the fan, the compressor or the turbine and has no elbows.

(34) In the method for designing a vane of the fan, the compressor or the turbine of the axial flow type according to a second aspect of the present disclosure, the stacking line of the base vane is a line connecting any of leading edges, trailing edges or centers of gravity of the profiles in each spanwise position.

(35) In the method for designing a vane of the fan, the compressor or the turbine of the axial flow type according to a third aspect of the present disclosure, the stacking line of the base vane is changed to the wavy curved line only in at least one of a hub region and a tip region of the base vane.

(36) In the method for designing a vane of the fan, the compressor or the turbine of the axial flow type according to a fourth aspect of the present disclosure, when positions in the spanwise direction are expressed as a percentage of a height measured from the hub portion of the base vane to an overall height of the base vane, the hub region is in a range of 0% to 20% span and the tip region is in a range of 80% to 100% span.

(37) A vane of a fan, a compressor or a turbine of an axial flow type according to a first aspect of the present disclosure is obtained by improving a base vane, the base vane is formed by stacking profiles having airfoil shapes in a spanwise direction along a stacking line which is configured as a smooth curved line having no inflection point or a straight line, and the vane is obtained by changing the stacking line of the base vane to a smooth wavy curved line which waves in an axial direction of the fan, the compressor or the turbine and has no elbows.

(38) In the vane of the fan, the compressor or the turbine of the axial flow type according to a second aspect of the present disclosure, the stacking line of the base vane is a line connecting any of leading edges, trailing edges or centers of gravity of the profiles in each spanwise position.

(39) In the vane of the fan, the compressor or the turbine of the axial flow type according to a third aspect of the present disclosure, the stacking line of the base vane is changed to the wavy curved line only in at least one of a hub region and a tip region of the base vane.

(40) In the vane of the fan, the compressor or the turbine of the axial flow type according to a fourth aspect of the present disclosure, when positions in the spanwise direction are expressed as a percentage of a height measured from the hub portion of the base vane to an overall height of the base vane, the hub region is in a range of 0% to 20% span and the tip region is in a range of 80% to 100% span.

EXPLANATION OF REFERENCE SIGNS

(41) A Vane (Improved vane) A.sub.B Base vane P.sub.B Profile (of the base vane) SL.sub.B Stacking line (of the base vane)