Effects of pressure side film cooling hole placement and condition on adiabatic film cooling effectiveness characteristics of a transonic turbine blade tip

https://doi.org/10.1016/j.ijheatmasstransfer.2022.123462Get rights and content

Abstract

The effects of film cooling hole placement location along the upper pressure side of a transonic squealer are considered. The thermal performance of four different film cooling configurations; B1, B2, B3 and B4, are considered using the University of Alabama in Huntsville's SS/TS/WT (supersonic/transonic/wind tunnel) experimental facility and a simulated turbine blade row using a linear cascade. Surface-varying results are provided for both the squealer blade tip surface, and for the upper pressure side of the squealer blade. These results are given for blowing ratios ranging from 0.42 to 3.20 in the form of spatially-resolved and spatially-averaged adiabatic film cooling effectiveness distributions. Because local static pressure variations and gradients vary in a significant manner at different blade locations, coolant accumulations near surfaces (and the associated surface thermal protection and film effectiveness distributions) produced by the different film cooling configurations are vastly different along the squealer blade tip surface. The B1 and B3 film cooling configurations show that substantial magnitudes of adiabatic film cooling effectiveness are present along the pressure side rim and the suction side rim. Also present is a considerable region of locally increased film cooling effectiveness and a wider region of surface protection within the squealer recess region for the B2 film cooling configuration. The contributions are unique because of a deficit of experimental data for film cooled squealer blades which operate with transonic flow, and because the present investigation is the first to consider the effects of hole placement location for upper pressure side film cooling arrangements with transonic flow conditions.

Introduction

Turbine blade tip regions and sections near the tip are highly vulnerable to thermal loading and aerodynamic loss issues. These regions are also often the most challenging to cool in order to maintain acceptable temperature levels and acceptable temperature gradients. Results from a number of studies consider tip gap flows and associated heat transfer characteristics for low speed, incompressible flow environments. However, because modern turbine engines often operate with transonic flows, subsonic tip gap data are not sufficient for the design of such transonic turbine blades with film cooling. Bunker [1] presents a review of associated turbine blade tip aerodynamics and heat transfer characteristics. In regard to early investigations, Moore and Tilton [2] provide the first evidence of the existence of shock waves within high speed tip gap flows. Additional confirmation is provided by Moore and Elward [3] using water table experimental data. In a later investigation, Wheeler et al. [4] compare surface heat transfer of plane blade tips with subsonic and transonic conditions. These investigators indicate that higher speeds give reduced surface heat transfer relative to low speed tests, partially because of a reduction in local turbulence production as a result of local flow acceleration. Zhang et al. [5] demonstrate that shock wave reflections are present within tip gap flows, which create large local variations in static pressure and surface heat flux.

O'Dowd et al. [6] investigate a winglet tip using a linear cascade and transient infrared thermography. The investigators indicate that the complex geometry of a winglet give more chaotic shock wave reflections compared to plane tip arrangements. O'Dowd et al. [7] also investigate the aerothermal performance of a cooled winglet tip. According to these investigators, the winglet with film cooling injection outperforms the uncooled winglet in terms of loss coefficient magnitudes. Wheeler and Saleh [8] consider the effects of slot cooling flow on the tip leakage flow rates for both plane and squealer geometries with transonic conditions. Results indicate that slot coolant injection has the potential to reduce aerodynamic loss. In addition, the plane blade tip outperforms the squealer blade tip in terms of both loss and turning at cooling mass flows above 2 percent of mainstream mass flow values. In a numerical study, Wang et al. [9] compare a flat blade tip, a squealer blade tip, and a partial squealer blade tip using three-dimensional conjugate heat transfer analysis. Results show that replacing the squealer with a flat geometry in the rear transonic portion of the blade gives improved aerodynamic performance. The cooled flat tip additionally outperformes the squealer in regard to losses associated with over tip leakage mass flow. Kim et al. [10] optimize squealer geometry with respect to aerothermal performance with cooled and transonic conditions. According to the investigators, varying cavity depth has little effect on the aerodynamic loss, however, modifying the front radius and aft blend radius influence the pressure loss. Arisi et al. [11] investigate a ribbed squealer blade with two dusting holes upstream of mid-cavity ribs. Using oil flow visualizations, the investigators show that the presence of the ribs enhances recirculation and locally chaotic flows. The investigators also demonstrate that the ribs enhance heat transfer and act to block the film coolant from advecting downstream. Ma et al. [12] describe an experimental and numerical study to investigate interactions between squealer blade tip cooling flow and transonic over tip leakage flow. Observed are large local heat transfer variations in between film cooling holes due to vortical structures which originate near each cooling hole exit.

Considering transonic turbine blade tip flows, Hofer and Arts [13] examine the effects of cooling on aerodynamic performance of a full squealer (with a full suction side squealer rim) and a partial squealer (with a partial pressure side squealer rim). The film cooling configuration consists of 16 pressure side film cooling holes and 4 tip camber line dust holes. The partial squealer rim exhibits higher overall loss coefficients with a tip gap of 1.75 percent, relative to the blade chord length. Oil flow visualizations evidence over tip leakage flows which are vastly different for the two configurations. Using computational fluid dynamics, Naik et al. [14] investigate the geometry and film cooling arrangement of Hofer and Arts. Naik et al. show complex interactions from the upper pressure side and the dusting hole flows between the cavity and the casing wall. According to these investigators, the film cooling from camberline-located dusting holes partially impinges upon the casing surface. Also noted are different heat transfer and effectiveness distributions for the squealer and partial squealer configurations along the leading edge and trailing edge regions. Also using computational fluid dynamics analysis, Zhou et al. [15] demonstrate that combined pressure side coolant with tip coolant reduces the overall heat load for transonic squealer blade tips. With simulated endwall motion, the heat transfer within the recess and upper suction side is increased, as film cooling effectiveness is reduced overall. Collopy et al. [16] present data which illustrate the effects of tip gap on transonic squealer blades with pressure side film cooling. Results show that the surface thermal protection is generally improved for a tip gap of 0.8 mm, relative to a larger tip gap of 1.4 mm, due to a decrease in overall heat transfer coefficient and local increases in adiabatic film cooling effectiveness values. Note that the Collopy et al. results are only provided for a single film cooling configuration B1, considering the effects of tip gap, whereas the results within the present paper are provided for four different upper pressure side film hole configurations, but for only one tip gap value.

Engine manufacturers require reliable data regarding the heat transfer and aerodynamic performance and characteristics of turbine blade tips which operate with transonic flow conditions. This is because tip gap flow structure and heat transfer characteristics vary drastically from one geometric configuration to another. This is also because, currently, there is a lack of understanding of film cooling protection for transonic turbine blade tips because the majority of research efforts from the past have focused upon subsonic flow conditions and results. Within the present investigation, spatially-resolved and spatially-averaged surface adiabatic film cooling effectiveness distributions are presented for blowing ratios ranging from 0.42 to 3.20 for four different film cooling configurations. These results are unique and significant because of a deficit of experimental data for film cooled squealer blades which operate with transonic flow, and because the present investigation is the first to consider and compare the effects of hole placement location for upper pressure side film cooling arrangements with transonic flow conditions.

Section snippets

Supersonic / transonic wind tunnel

The SS/TS/WT (supersonic/transonic/wind tunnel) experimental facility employed for the present investigation is a blow-down facility, and is described by Sampson et al. [17] and by Collopy et al. [16]. Employed is a bar grid upstream of the test section entrance to produce a cascade inlet turbulence intensity magnitude of 6 to 7 percent. The total time duration of a typical blow down experiment is about 7.5 to 8.0 seconds, with 2.7 to 3.0 seconds of start-up time, followed by steady state flow

Blade Mach number distributions

Fig. 3 shows central blade, blade tip, and tip gap flow property variations for the B1 blade with no film cooling and a tip gap of 1.4 mm. Included are distributions of the ratio of static pressure to stagnation pressure at 90 percent span for the pressure surface of the blade (part a), suction surface of the blade (part b), and along the squealer tip surface (part c). Part d of Fig. 3 presents the blade tip gap variation of local Mach number. Associated Mach number data from Collopy et al. [16]

Local squealer blade tip surface adiabatic film cooling effectiveness distributions

With the present experimental arrangement, the coolant emerges from the film cooling holes, located along the upper pressure side of the blade. The coolant then advects along the upper blade surface, until it encounters the edge which adjoins the upper pressure side and the pressure side squealer rim. Afterwards, the coolant advects over the squealer blade tip surface, which contains a pressure side squealer rim, a squealer recess region, and a suction side squealer rim.

Fig. 4 shows local

Local upper blade pressure side surface adiabatic film cooling effectiveness distributions

Within the present section, discussed are surface adiabatic film effectiveness characteristics for the upper pressure surface of the blade. Parts (a), (b), (c), and (d) of Fig. 5 show associated data for blade B1 film cooling with BR=3.02, blade B2 film cooling with BR=3.17, blade B3 film cooling with BR=3.07, and blade B4 film cooling with BR=3.10, respectively. The white inclined circles within the different parts of this figure denote film cooling hole locations. Note that values of

Line-averaged data analysis procedures along blade tip

Line-averaged data distributions are determined from spatially-resolved surface distributions of adiabatic film cooling effectiveness. Fig. 6 shows how the line-averaging is implemented for the squealer tip surface. Using MATLAB version R2019a software, the first step is to determine polynomial equations (over the entire extent of the blade from the leading edge to the trailing edge), which are positioned along the edge of the pressure side rim, along the edge of suction side rim, and through

Line-averaged squealer blade tip surface adiabatic film cooling effectiveness distributions

Fig. 7 shows line-averaged adiabatic film cooling effectiveness variations for blade B1 with BR=0.63, blade B2 with BR=0.77, blade B3 with BR=0.67, and blade B4 with BR=0.59. All of these data are provided for a tip gap of 1.4 mm. Data within Fig. 7a–c are provided along the pressure side rim region, the squealer recess region, and the suction side rim region respectively.

The resulting effectiveness variations are a direct consequence of distributions of film coolant in the vicinity of and

Line-averaged data analysis procedures along upper pressure side of the blade

Surface distribution contour plots for the upper pressure side surface of the blade are obtained with an angled infrared camera mount. Because of this arrangement, resulting data are distributed over a plane with perspective and with surface curvature. The resulting spatially-resolved adiabatic film cooling effectiveness data are unwrapped and presented in a planar distribution, with a normal perspective view, by transforming pixel values as they are initially viewed by the infrared camera.

Line-averaged surface adiabatic film cooling effectiveness distributions along upper pressure side of the blade

With the present experimental arrangement, the coolant emerges from the film cooling holes, located along the upper pressure side of the blade. The coolant then advects in an angled direction along the upper blade surface, until it encounters the edge which adjoins the upper pressure side and the pressure side squealer rim. Afterwards, the coolant advects over the squealer blade tip surface, which contains a pressure side squealer rim, a squealer recess region, and a suction side squealer rim.

Line-averaged surface adiabatic film cooling effectiveness variations with blowing ratio along squealer blade tip and along upper pressure side of the blade

To illustrate the influences of blowing ratio, line-averaged adiabatic film cooling effectiveness data from the B3 blade configuration are provided for a tip gap of 1.4 mm in Fig. 14, Fig. 15, Fig. 16. Parts a, b, and c within Fig. 14 show variations along pressure side rim, along the squealer recess region, and along suction side rim, respectively.

Effectiveness variations in Fig. 14a evidence significant coolant accumulations along the pressure side rim, which become more abundant as the

Summary and conclusions

High pressure turbine manufacturers are interested in advanced film cooling configurations which allow turbines to operate at higher inlet temperatures, with increased component life and minimal use of cooling air. However, in spite of these needs, there is presently a deficit of experimental data for film cooled squealer blades which operate with transonic flow. To the best of the author's knowledge, the present investigation is the first to consider the effects of hole placement location for

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

References (21)

  • H. Collopy et al.

    Effects of tip gap on transonic turbine blade heat transfer characteristics with pressure side film cooling

    Int. J. Heat Mass Transf.

    (2022)
  • R.J. Moffat

    Describing the uncertainties in experimental results

    Exp. Therm. Fluid Sci

    (1988)
  • R.S. Bunker

    A review of turbine blade tip heat transfer in gas turbine systems

    Ann. N.Y. Acad. Sci.

    (2001)
  • J. Moore et al.

    Tip leakage flow in a linear turbine cascade

    J. Turbomach.

    (1988)
  • J. Moore et al.

    Shock formation in overexpanded tip leakage flow

    J. Turbomach.

    (1993)
  • A.P.S. Wheeler et al.

    Turbine blade tip heat transfer in low speed and high speed flows

    J. Turbomach.

    (2011)
  • Q. Zhang et al.

    Overtip shock wave structure and its impact on turbine blade tip heat transfer

    J. Turbomach.

    (2011)
  • D.O. O'Dowd et al.

    Aerothermal performance of a winglet at engine representative Mach and Reynolds numbers

    J. Turbomach.

    (2011)
  • D.O. O'Dowd et al.

    Aerothermal performance of a cooled winglet at engine representative Mach and Reynolds numbers

    J. Turbomach.

    (2013)
  • A.P.S. Wheeler et al.

    Effect of cooling injection on transonic tip flows

    J. Propuls. Power.

    (2013)
There are more references available in the full text version of this article.

Cited by (1)

  • Augmented cooling performance in gas turbine blade tip with slot cooling

    2023, International Journal of Heat and Mass Transfer
    Citation Excerpt :

    Their results showed some dependence of heat flux reduction on coolant flow, but greater cooling benefit with a narrow tip clearance than with a wide tip clearance. Collopy et al. [18] addressed effects of film cooling hole placement location on blade tip along upper pressure side of a squealer tip under transonic flow conditions. They experimentally evaluated various film cooling configurations on blade tip including squealer rim and the B2 film cooling configuration has the increased film cooling effectiveness and a wider coolant coverage on blade tip.

View full text