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Article

Influence of Gap Blade Geometry on the Energy Performance of Low-Specific-Speed Centrifugal Pumps

by
Aneta Nycz
*,
Janusz Skrzypacz
and
Przemysław Szulc
Department of Energy Conversion Engineering, Faculty of Mechanical and Power Engineering, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland
*
Author to whom correspondence should be addressed.
Energies 2025, 18(11), 2867; https://doi.org/10.3390/en18112867
Submission received: 2 May 2025 / Revised: 21 May 2025 / Accepted: 27 May 2025 / Published: 30 May 2025

Abstract

This study investigates the influence of modifications in the geometry of the blades—specifically, the introduction of a gap blade into the impeller blades—on the hydraulic performance of a low specific speed centrifugal pump. The research addresses the problem of efficiency losses in such pumps and explores whether implementing a blade gap can improve energy characteristics without altering the primary flow path. A set of impellers with different gap configurations was designed and manufactured using 3D printing. Experimental tests were carried out on a laboratory test rig equipped with standard pressure, flow, and power measurement instruments. Next, numerical simulations were performed using CFD methods in Ansys CFX, using the k-ω SST turbulence model. The results show that impellers with gap blades achieved higher efficiency—up to 4 percentage points compared to the reference design—and an increase in the maximum pump capacity. CFD analysis confirmed more uniform velocity distributions and reduced separation zones in the interscapular channels, along with a smoother pressure gradient across the blade surfaces. The results demonstrate that modifying impeller geometry using gap blades can improve hydraulic efficiency and expand the range of stable operation. These conclusions support further research on performance optimisation in low-specific-speed centrifugal pumps.

1. Introduction

Pumps constitute the largest group of machines used in industry, second only to electric motors in terms of applications [1,2]. In 2000, industrial energy consumption in European countries amounted to approximately 951 TWh, of which up to 65% was attributable to electrical machinery, with pumps playing a dominant role [3]. In Europe, pumps account for about 22% of total electricity consumption [2]. In Poland, annual pump energy consumption is estimated at 32 TWh, representing approximately 20% of the country’s total electricity production [4]. Consequently, reducing the energy consumption in pumping processes has become a significant issue. This can be achieved through the appropriate selection of new pumps combined with suitable control systems or by improving the efficiency of existing units. In both cases, it is crucial to match the pump characteristics to the varying demands of the system and, thus, to different operating points.

1.1. Losses in Centrifugal Pumps

Among centrifugal pumps, the most commonly used type is the radial-flow centrifugal pump [1], designed for flow rates greater than 10 m3/h and specific speed values above 15 (nq > 15). These pumps account for approximately 80% of all pump applications [3]. During operation, centrifugal pumps are subject to various losses that affect their performance. Understanding the mechanisms responsible for these losses is essential for analysing the efficiency and energy performance of such machines.
Power losses in centrifugal pumps are the result of leakage, flow resistance, and friction in mechanical components [5,6]. Volumetric losses are associated with seal leakages; hydraulic losses are due to flow resistance, and mechanical losses, including disk friction losses, arise from the movement of rotating parts [5,6]. In pumps with a low kinematic specific speed nq, defined by Equation (1) according to Troskolanski [7]:
n q = n Q H 3 / 4
where
  • n-rotational speed (rpm);
  • Q-flow rate (m3/s);
  • H-head (m).
Moreover, disk friction losses and volumetric losses dominate. A diameter ratio d2/d1 greater than 2 significantly increases mechanical losses (ΔPt ~ ω3 d25), while a decrease in nq increases the pressure differential across the seals, leading to higher leakage rates [8]. For nq = 10, disk friction losses can account for up to 50% of total power, whereas for nq = 30 they decrease to about 5% [8]. Hydraulic losses tend to increase as the size of the pump decreases, whereas mechanical losses depend on the overall dimensions of the pump [8]. In pumps with nq = 13.4, the main sources of losses are liquid drainage (34%) and the front chamber of the impeller (29%), collectively accounting for 63% [9]. Losses within the impeller and seals contribute the remaining 37%, while losses in the volute depend on the operating [9]. In addition to experimental studies, Computational Fluid Dynamics (CFD) methods are increasingly used to evaluate losses and optimize pump designs for improved energy efficiency [9].
Due to the efficiency drop caused by increasing disk friction and volumetric losses [5,6], the design of low-specific-speed pumps with acceptable efficiency levels remains a major challenge. Therefore, improving the efficiency and operational stability of low-speed centrifugal pumps is an important area of ongoing research [10,11].
A key aspect is the adaptation of the pump characteristics to the requirements of the system, which directly affects its energy efficiency. Modern methods are being explored to enhance pump performance, such as impeller outer surface structure, trim of the impeller blade trailing edge, or the application of gap blades.

1.2. Novelty Methods to Increase Efficiency of Centrifugal Pumps

In modern centrifugal pumps, microgeometry modifications are applied to reduce energy losses. Bieganowski et al. [12] demonstrated that an appropriate selection of the microgroove geometry in the impeller channels can increase the head and efficiency without altering the main impeller geometry. Sosnowski et al. [13] reported that trimming the trailing edge of the impeller blade reduces flow resistance, thus improving efficiency under load conditions. CFD analysis by Gangipamula et al. [14] confirmed that impeller trimming reduces pressure pulsations by 10.3% and lowers hydraulic noise by 2 dB, while additional tongue trimming increases flow instability and acoustic pressure. Skrzypacz et al. [15] showed that surface structuring of the outer faces of the impeller disks, through the application of surface indentations, reduces disk friction losses and improves efficiency, particularly at low flow rates. In subsequent sections, the use of gap blades is discussed as an additional method to improve the efficiency of centrifugal pumps.

1.3. Application of Splitter Blades in Rotating Machinery

A gap blade is a modified form of a classical impeller blade used in turbomachinery, featuring an intentional gap or discontinuity in the blade profile. This gap can vary in length, width, and position, and its geometry can be selected according to the type of machine, flow conditions, and specific design objectives. Splitter blades are classified as passive flow control solutions, which means that they do not have moving parts and that their primary function is to modify the flow structure within the interscapular channel.
The introduction of splitter blades in turbomachinery, such as centrifugal pumps, axial compressors, and fans, aims to improve flow characteristics and increase machine efficiency. One of the main objectives of implementing a splitter blade is to reduce adverse flow phenomena such as boundary layer separation, flow detachment, cavitation, or pressure fluctuations. The presence of the gap enables a more uniform velocity distribution within the interscapular channel and reduces local hydraulic loads, leading to more stable operation and lower energy losses. The applications of splitter blades in rotating machinery are summarised and described in Table 1.

1.4. Gap Blades in Impellers of Centrifugal Pumps

Studies on the application of gaps in the blades of rotating machinery, summarised in Table 1, have demonstrated the potential to improve performance and reduce starting power requirements. This method, previously successfully implemented in fans and compressors, has also been introduced in centrifugal pumps. Calculations involving various gap parameters, based on optimisation methods, showed that their impact on efficiency depends on both the operating conditions and the gap geometry.
The study [28] presents a centrifugal pump with a specific speed ns = 85 (in SI units nq = 23.34) with blades with a slot structure. Numerical simulations and experimental tests were performed for 16 different slot geometries, covering variations in position, width, depth, and angle of inclination. The best results were obtained for a configuration with a narrow slot (0.5 mm), a depth equal to one quarter of the width of the blade, and a deviation angle of 30°. Under low-flow conditions (0.6Q), the head increased from 38.5 m to 39.3 m, while under high-flow conditions (1.4Q), the efficiency improved from 77.09% to 77.86%. The application of the slot structure improved the pressure and velocity distributions within the interscapular channel, reducing backflow and increasing overall efficiency.
Another study [29] analysed a low-specific-speed centrifugal pump with ns = 55 (in SI units nq = 15.17), focusing on the optimization of slot geometry on the impeller blades. Using an orthogonal experimental design L16(45), five geometric parameters were investigated: slot diameter, mid-width, deviation angle, depth, and contraction ratio. Numerical simulations combined with the entropy-weighted TOPSIS method indicated that the optimal configuration consisted of a 200 mm slot diameter, 3 mm mid-width, 20° deviation angle, 6 mm depth, and a contraction ratio of 0.5. This con-figuration improved the total head from 24.13 m to 24.58 m and the hydraulic efficiency from 55.33% to 57.82%, confirming the potential of slotted blades to enhance pump performance by reducing internal flow losses.
A review of the literature indicates that in new designs of low-specific-speed pumps, the use of impellers with groove drain blades [30] and gap drainage blades [31] can potentially improve the energy efficiency of centrifugal pumps [30,31,32]. In the first approach [30], a groove is created that connects the suction and pressure sides of the blade. The authors suggest that the pressure difference across the groove drives a flow that supplies energy to the backflow region at the impeller inlet. The goal is to reduce the size of this region and decrease the risk of flow separation. This solution can also be combined with the application of splitter blades. In the second approach [31], by retracting the leading edge of the main blade and placing a shorter auxiliary blade in front of it, a gap is formed to control flow in the inlet zone. Within a specific speed range of 35 to 70, the efficiency of the pump equipped with a gap drainage impeller was higher compared to the traditional version. The critical net positive suction head value (NPSHc) was lower at all operating points, with a maximum difference of 0.37 m observed at a flow rate of 48 m3/h. The pump with a drainage impeller with a gap reached cavitation conditions at higher flow rates compared to the conventional design.
According to the literature, such modifications to the blade geometry can improve the hydraulic efficiency of low-speed centrifugal pumps. For example, in the study [32], it was shown that the use of a gap blade reduces the intensity of vortices that form at the leading edge, leading to a more ordered flow in the interscapular channel. Three impeller variants were analysed: without a gap, with a 1.5 mm gap, and with a 6 mm gap. Numerical and experimental studies showed that a 1.5 mm gap increased hydraulic efficiency to 28.62% (an improvement of 7.2 percentage points compared to the variant without a gap) with only a minor decrease in head by 0.11 m. For the 6 mm gap, efficiency increased only to 27%, and the head dropped by 2.47 m. However, the authors emphasized the need to properly match the gap dimensions to the machine’s geometric scale to avoid performance deterioration. The effectiveness of both concepts was initially evaluated through CFD simulations and was later supported by preliminary experimental tests [32].
In the article [33], the effect of gap drainage blades was investigated in a centrifugal pump with a specific speed of approximately SI units nq = 9.56. A classical impeller with continuous blades was compared to an impeller equipped with gap drainage blades. CFD calculations were performed using ANSYS CFX 2023 R1 with the k-ω SST turbulence model and the Rayleigh–Plesset cavitation model. At a cavitation number of σ = 0.178, the cavitation volume was smaller for the impeller with the gap. For a flow rate Q = 14 m3/h, a head H = 20 m, and a rotational speed of n = 1450 rpm, the efficiency reached 66.7%, which was higher than that of the impeller without gaps. The gap blades reduced the intensity of cavitation and improved flow stability. Studies confirmed that modifications to the blade gaps can enhance performance and expand the operating range of centrifugal pumps [33].
The research problem of this article focuses on the existing knowledge gaps related to the design and application of gaps in the impeller blades of low-speed centrifugal pumps. Although previous studies have included selected results from numerical and experimental analyses, they do not provide a comprehensive characterisation of the gap blade geometry that would clearly contribute to improving the performance parameters of low-specific-speed centrifugal pumps.
The aim of the preliminary research was to identify and verify the geometric variables that influence pump performance. These variables include the gap position radius (R1gap), the gap length (Lgap = |R1gap − R2gap|), and the gap width (Egap). The study was conducted based on a single-factor, completely randomized design (CRD) [34] with seven levels of the factor. The objective was to test the research hypothesis stating that the application of a gap in impeller blades positively affects the energy characteristics of a single-stage, low-specific-speed centrifugal pump.
This article presents the results of preliminary experimental and numerical investigations concerning the optimal positioning of the gap in the impeller blade.

2. Research Object

For the initial studies, an impeller with a specific speed nq = 12.68 (Q = 6.78 m3/h, H = 21.02 m, n = 2870 rpm) was selected, which was designed from scratch specifically for the experiment using Solid Edge 2023 software. The reference impeller is characterised by the following parameters: d2 = 150 mm, d1 = 36 mm, β1 = 45°, β2 =30°, and z = 7. Its modifications involved altering the geometry of the blade by introducing designated gaps. Several variants of gap positioning were prepared. One approach involved cutting the blade along its length, resulting in a larger gap (W1), a smaller gap (W2), and a double gap (W7). In these cases, the gap geometry is described by two parameters: R1gap and R2gap.
In addition, the impellers were designed with a gap formed by displacing part of the main blade to the pressure side (W3, W5) or the suction side (W4, W6), analysed from the inlet. In this case, the blade consists of two parts: the main and the secondary part, forming a gap defined by the parameters R1gap, Lgap, and Egap.
The impellers were manufactured using 3D printing technology based on the FDM (Fused Deposition Modelling) method, employing a Prusa MK3 printer (PrusaResearch, Prague, Czech Republic) and PLA (polylactide) material (Rosa3D, Gdansk, Poland), which enabled rapid prototyping. The shroud and hub of the impellers were bonded with cyanoacrylate adhesive and subsequently pressed together uniformly using a hydraulic press. All analysed geometric parameters, illustrative drawings, and photographs of the printed models are compiled in Table 2 and Table 3.
Subsequently, comparative studies were conducted to determine the energy characteristics of the reference impeller (without a gap blade) and the modified impellers.

3. Methodology

The experimental investigations were carried out on a laboratory test rig designed to measure and analyse the performance characteristics of the pump. The test setup is equipped with appropriate sensors for pressure measurement (manometers on the suction and discharge sides of the pump), flow rate measurement (electromagnetic flowmeter), input power measurement (power transducer), and liquid temperature measurement (temperature sensor). The system also includes actuators and control devices, such as a three-phase inverter with integrated power measurement, electric rotary actuators on the suction and discharge lines, a three-phase motor, and a frequency converter. Table 4 presents the specifications of the measurement instruments used.
Throughout the experimental campaign, throttle control was applied to adjust and regulate pump operating conditions across the full operating range, with measurements performed on an automated test stand equipped with a computer-monitored control system to ensure consistent testing conditions. Data acquisition followed the procedures defined by the PN-EN ISO 9906:2012 standard, accuracy class 1 [35]. The setup of the test rig, the measurement methodology, and the evaluation of instrument accuracy are comprehensively explained in a separate publication [36]. A photograph of the test setup is shown in Figure 1.

4. Experimental Studies

Analysis of the head characteristics obtained H = f(Q) (Figure 2) indicates that the introduction of gaps in most of the cases analysed had a positive effect on increasing the pump head. Impellers W3, W4, and W7 exhibited significantly lower head values in the low flow rate range (up to approximately 6 m3/h) compared to the reference impeller W0; however, beyond this flow rate, they achieved higher head values. The head curves for all gapped impellers were also observed to be less steep compared to the curve for the reference impeller (W0).
When comparing the efficiency characteristics η = f(Q) (Figure 3), it was noted that all impellers with gaps exhibited higher efficiency than the reference impeller, particularly at flow rates greater than approximately 6 m3/h. The increase in efficiency was approximately 4% at the optimal flow rate (reference impeller efficiency η = 39.47%, gapped impeller efficiency η = 43.33%). Furthermore, both characteristics demonstrated an increase in the maximum pump capacity from approximately 11 m3/h to 12 m3/h. For the gapped impellers, the point of maximum efficiency shifted toward higher flow rates, and the efficiency peak became flatter.
The power at the pump shaft curves Pw = f(Q) (Figure 4) show minimal differences between all tested impellers, including the reference design W0. The values of power at the pump shaft are nearly identical across the flow range, indicating that the observed improvements in hydraulic performance and efficiency for the gap blade variants result primarily from reduced hydraulic losses rather than increased power input. This suggests that the enhanced performance is due to better internal flow organization and lower energy dissipation rather than higher energy consumption.
The results obtained at this stage allow for the identification of dependencies between the geometric variables. Preliminary research confirms the rationale for continuing investigations on this type of impeller design. The findings are very promising and suggest that a more detailed determination of the influence of gap geometry on energy characteristics will enable the development of design guidelines for low-specific-speed centrifugal pump impellers with improved flow parameters.

5. Numerical Simulations

Computational Fluid Dynamics (CFD) is an advanced numerical method used for the analysis of liquid and gas flows as well as heat transfer. Thanks to the growing computational capabilities, CFD has found wide application in the design and optimisation of flow devices, such as pumps. In the field of centrifugal pump research, CFD enables detailed analysis of internal flow conditions and evaluation of the influence of geometry on hydraulic characteristics.
In the present study, the computational model was divided into three separate domains: the suction pipe section, the volute casing, and the impeller (Figure 5). This division allows for the separation of stationary and rotating parts and facilitates the computation process. Flow information between domains was exchanged via appropriate interfaces. The computational mesh was generated using Ansys Meshing 2023 R1 software, creating unstructured tetrahedral elements. Wall layers were modelled using the Inflation function, with individual adjustments of parameters for each domain geometry.
Details regarding the applied meshes are summarised in Table 5. Numerical flow analysis through the centrifugal pump was carried out as a steady-state simulation. The Ansys CFX solver and the k-ω SST turbulence model were used due to their ability to accurately capture near-wall behaviour [37]. The convergence criteria for the calculations were set to 10−6. According to the given boundary conditions (reference pressure of 1 atm and optimum flow for a given rotor), the head and efficiency at the optimum point (BEP) were determined for the reference rotor W0 and selected rotor design solutions with gap blades: impeller with the best energy performance W5-gap blade formed by displacing part of the main blade to the pressure side (analysing from the inlet), W6-gap blade formed by displacing part of the main blade to the suction side (analysing from the inlet), and W7-impeller with double gap. The convergence of the calculated values of head and efficiency oscillates within 5% for W0 and W7 and 2% for W5 and W6.
Figure 6 presents the velocity contours (left-index 1) and velocity vectors (right-index 2) in the inter-blade channels of four impeller variants: (a) W0-reference impeller with continuous blades, (b) W5, (c) W6, and (d) W7-impellers with gap blades. Across all cases, the flow accelerates radially from the impeller inlet toward the outlet, consistent with the expected behaviour in radial-flow pumps. For the W0 configuration, the velocity field appears relatively uniform; however, noticeable recirculation zones and secondary flows develop near the suction side, particularly close to the blade leading edges. These disturbances indicate inefficient flow control and may lead to increased internal energy losses.
The W5 variant shows a distinctly more ordered distribution of velocity. Flow acceleration along the blade passages is consistent, with vectors remaining well aligned with the blade surfaces. Flow separation is largely suppressed, and the interaction between the main and secondary blades supports more coherent fluid motion. This efficient redirection of the streamlines results in lower turbulence and reduced hydraulic losses, correlating directly with the highest experimentally measured parameter performance in this group.
By contrast, impellers W6 and W7 exhibit less favourable characteristics. Although velocity magnitudes remain comparable, the vector fields show increased irregularities. In W6, regions of low momentum and reversed flow appear near the suction sides, while W7 presents scattered velocity directions, especially near the blade tips and exits. These flow instabilities contribute to greater energy dissipation and reduce the overall efficiency of the pumping process.
Overall, the velocity field analysis reinforces the experimental findings: configuration of the blade gap in W5 proceeds an advantageous interaction between the main and gap blades, enhancing flow uniformity and minimizing losses. As a result, W5 delivers the most effective energy transfer among all tested impellers.
Figure 7 shows the absolute pressure distribution in the impeller of the centrifugal pump. In all cases, the pressure increases from the inlet to the outlet, which is typical behaviour in radial-flow machines. In the W0 configuration (continuous blade), the pressure contours are more uniform and concentric, indicating a steady increase of pressure along the blade channel. However, the pressure difference between the pressure side and suction side of the blades is the highest in this case. This can lead to increased hydraulic loading on the blade surface and higher local pressure gradients, which are unfavourable from the perspective of minimizing energy losses and cavitation risk.
In impeller W5, the pressure distribution near the leading edge is less abrupt. The pressure gradient along the main blade is reduced compared to W0. The pressure on the suction side is also higher, indicating improved guidance of the working fluid and a more stable flow in this region. The low-pressure zones are smaller and less concentrated, which reduces the potential for cavitation. These features suggest better internal flow conditions and more efficient energy conversion within the impeller.
In impeller W6, the pressure field is similar to W5, but larger low-pressure areas appear near the inlet. The pressure gradient along the blade channel is steeper, and the suction side exhibits lower absolute pressure, which may promote local flow separation or cavitation. W7 shows the least favourable pressure distribution among the gap blade variants. The inlet region contains the largest low-pressure zones, and the pressure contours are less uniform, indicating disturbed flow conditions and possible increases in hydraulic losses.
Based on pressure distribution, impeller W5 offers the most favourable conditions, with reduced local gradients, improved suction side pressure, and minimized low-pressure areas.
The CFD simulations were conducted for four impeller designs: W0 (reference), W5, W6, and W7 (gap blade variants). The reference impeller W0 with continuous blades showed stable but less optimized internal flow, with clear signs of recirculation and high local pressure gradients near the suction side.
The W5 impeller, featuring a gap blade formed by shifting part of the main blade to the pressure side (viewed from the inlet), demonstrated the best parameter performance. The flow was more uniform, with reduced recirculation zones and a smoother pressure gradient near the leading edge. This resulted in improved energy conversion and higher hydraulic efficiency. The W6 impeller, where the blade gap was directed toward the suction side, showed increased low-pressure regions and less stable flow, with a higher risk of separation. The W7 impeller, with a double gap, exhibited the least improved flow structure, with scattered vectors and significant pressure non-uniformity near the inlet.
The application of the pressure-side gap blade (W5) improved the internal flow pattern and reduced losses, confirming its potential for performance optimization. Nevertheless, further experimental and numerical research is recommended—particularly in the context of model validation and assessment of long-term operating behaviour.

6. Conclusions

The article presents the results of preliminary research on the application of gap blades in a single-stage centrifugal pump with low specific speed. The aim was to determine how changes in the geometry and positioning of the blade gap influence the energy performance of the pump. The experimental and numerical analyses conducted allowed the evaluation of the influence of the selected gap geometry parameters on the pump energy characteristics, leading to the following conclusions:
  • Experimental results confirmed that all impellers with gap blades demonstrated enhanced energy performance (H and η) than the reference impeller with continuous blades (W0)-Figure 2 and Figure 3;
  • Head measurements showed that, above 6 m3/h, most gap blade configurations provided a higher head compared to the reference impeller—Figure 2. The power at the pump shaft (Figure 4) remained largely unchanged, indicating that the efficiency gains resulted primarily from reduced internal hydraulic losses.
  • The most significant improvement—up to approximately 4 percentage points (from 39.47% for the reference impeller to 43.33% for the gap blade impeller)—was observed for the W5 variant, where the gap was introduced by shifting a part of the main blade toward the pressure side (viewed from the inlet)—Figure 3;
  • The efficiency curves η(Q)Figure 3, for all gap blade designs, were flatter than that of W0, and the best efficiency point (BEP) was shifted toward higher flow rates. This suggests an extended range of efficient operation and more stable performance at partial load conditions;
  • Numerical simulations supported the experimental findings by showing that the W5 impeller generated a more uniform velocity field in the blade channels and reduced recirculation zones. Pressure contours also revealed a lower pressure gradient near the leading edge and a reduced pressure difference between the pressure and suction sides of the blade.
  • Impellers W6 (gap toward the suction side) and W7 (double gap) showed less coherent flow patterns and larger low-pressure areas, which may increase the risk of cavitation and flow instabilities. These results were consistent across both experimental and CFD analyses.
  • The combination of experimental testing and CFD confirmed that the W5 configuration offers the most advantageous hydraulic performance among all tested designs, thanks to improved flow guidance and pressure recovery.
Preliminary research results confirm the potential for optimisation of blade geometry modification through the use of gaps. They highlight the necessity of continuing work within the framework of fundamental research, particularly involving the validation of numerical models by comparison with extended experimental data and conducting higher-order experimental design studies to analyse the influence of gap geometry variables.

Author Contributions

Conceptualization, A.N.; methodology, A.N.; software, J.S.; validation, A.N.; formal analysis, A.N.; investigation, A.N. and P.S.; resources, J.S.; data curation, A.N., J.S. and P.S.; writing—original draft preparation, A.N.; writing—review and editing, J.S. and P.S.; visualization, A.N.; supervision, J.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

The data presented in this study are available from the corresponding author upon reasonable request.

Acknowledgments

Created using resources provided by Wroclaw Centre for Networking and Supercomputing (http://wcss.pl).

Conflicts of Interest

The authors declare no conflicts of interest.

Nomenclature

SymbolNameUnit
b1 impeller width at the inlet mm
b2 impeller width impeller width at the outlet mm
d1 impeller inlet diameter mm
d2 impeller outlet diameter mm
Egap gap width mm
g gravity acceleration m/s2
H pump lifting height m
Lgap gap length mm
M total torque on the moving walls of the impeller Nm
NPSH net positive suction head m
n rotational speed rpm
ns kinematic specific speed factor, in USA units, (gpm, ft) -
nq kinematic specific speed factor, in SI units, (m3/s, m) -
Pw power input W
Rgap gap position radius mm
Q capacity m3/h
T temperature °C
t time s
Greek Symbols
β inflow angle, offset angle °
Δ variability, difference -
η efficiency -
μ dynamic viscosity coefficient Pa·s
ν kinematic viscosity coefficient m2/s
π number, dimensionless variable -
ρ fluid density kg/m3
ω angular velocity rad/s
Subscripts
c critical -
CFD Computational Fluid Dynamics, applies to results obtained using CFD -
EXP experimental -
h hydraulic -
H2O applies to water -
i next value -
n nominal -
opt optimal -

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Figure 1. Measurement stand; 1—tank, 2—pump, 3—electric motor, 4—suction pressure sensor, 5—discharge pressure sensor, 6—control valve, 7—flow meter behind control cabinet.
Figure 1. Measurement stand; 1—tank, 2—pump, 3—electric motor, 4—suction pressure sensor, 5—discharge pressure sensor, 6—control valve, 7—flow meter behind control cabinet.
Energies 18 02867 g001
Figure 2. Pump head characteristics.
Figure 2. Pump head characteristics.
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Figure 3. Efficiency characteristics.
Figure 3. Efficiency characteristics.
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Figure 4. Power at the pump shaft characteristics.
Figure 4. Power at the pump shaft characteristics.
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Figure 5. Fluid bodies; boundary conditions.
Figure 5. Fluid bodies; boundary conditions.
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Figure 6. Velocity distribution (index 1-left) and velocity vectors distribution (index 2-right); (a_1,a_2) W0-continuous blade, (b_1,b_2) W5, (c_1,c_2) W6, (d_1,d_2) W7-gap blade.
Figure 6. Velocity distribution (index 1-left) and velocity vectors distribution (index 2-right); (a_1,a_2) W0-continuous blade, (b_1,b_2) W5, (c_1,c_2) W6, (d_1,d_2) W7-gap blade.
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Figure 7. Absolute pressure distribution: (a) W0-continuous blade, (b) W5, (c) W6, (d) W7-gap blade.
Figure 7. Absolute pressure distribution: (a) W0-continuous blade, (b) W5, (c) W6, (d) W7-gap blade.
Energies 18 02867 g007
Table 1. Application of split blades in rotor machines.
Table 1. Application of split blades in rotor machines.
No.ApplicationDescription Source
1.Axial stator
of a compressor
A reduction in Mach number was achieved from 1.38 to 1.22, along with a decrease in total pressure losses from 1.8% to 1.3%. The shock wave and excessive angle of incidence on the splitter blade were eliminated. An analysis of different load distribution ratios (for example, 67/33%) showed the influence of this parameter on pressure distribution and flow improvement.[16]
2.Axial
compressor
The application of longer splitter blades in the stator of a single-stage transonic axial compressor reduced the total pressure loss coefficient by 7.2% and improved the flow angle distribution downstream of the rotor. The beneficial effect of the modification was confirmed throughout the compressor load range.[17]
3.Radial fanAn increase in efficiency by 3.81% and 3.82% and an increase in total pressure by 69.59 Pa and 63.7 Pa were obtained. CFD calculations using the RANS model confirmed improvements in pressure distribution and reduction of low-velocity zones.[18]
4.Radial fanThe best results were obtained with a splitter blade length corresponding to 60% of the suction side; the total pressure increased by 18%, and efficiency improved by 4%. Backflow was reduced, and pressure distribution was improved, particularly at higher flow rates.[19]
5.ORC turbineAn efficiency improvement of 4.65% and a reduction in entropy production in the rotor of 33.3% and 44.1% in the entire turbine were achieved. CFD calculations were experimentally validated with an error margin of up to 2.47%.[20]
6.Gas
turbine with
turbine-blade-tip
The addition of splitter blades to blade-tip gas turbines reduced flow separation and improved turbine efficiency. Shortening the length of the splitter blade chord reduced the effectiveness of this improvement.[21]
7.High-lift-type LPT
(low pressure
turbine)
In a high-lift, low-pressure turbine, the use of splitter blades at Reynolds numbers Re ≥ 50,000 limited flow separation and shifted the reattachment point downstream. At Re = 25,000, the effect was minimal. This solution improved aerodynamic performance without increasing the number of blades.[22]
8.Wind
turbine
In a HAWT wind turbine with S809 blades, for a tip-speed ratio (TSR) below 3.5, all blade configurations augmented with gaps generated more power compared to the reference without a gap. The best result was obtained for the full-gap variant (SEG.ALL), with a 47.7% increase in power at 20 m/s. The improvement was attributed to the reduction in flow separation, whose effectiveness depended on the location of the gap and the flow conditions.[23]
9.Water
turbine
In a Francis turbine (nq = 141.7, H = 202 m), under high head conditions (243 m), the efficiency increased by 2%, while under low head conditions, the efficiency decreased. Cavitation on the suction side was reduced, and pressure fluctuations decreased by 58.1%. The use of splitter blades improved flow conditions and operational stability outside the nominal operating point.[24]
10.PaT
(pump as turbine)
The application of splitter blades in a pump operating in turbine mode (PaT) increased efficiency from 65.77% to 69.19% and reduced the required head from 40.69 to 36.80 m. The amplitude of pressure pulsations decreased by up to 58.9%. The numerical results were experimentally confirmed.[25]
11.PaTThe influence of the blades of the splitter on the operation of a centrifugal pump (ns = 32 min−1) in turbine mode was analysed. Three impeller configurations were studied. The variant with one pair of splitter blades yielded the highest efficiency gain, in the order of tenths of a percent, and shifted the best efficiency point (BEP) towards lower specific speeds. The splitter blades dampened the suction side vortices but generated additional vortices. The side gap flows reduced the torque. FFT analysis revealed the presence of additional frequencies associated with the splitter blades.[26]
12.PaTCFD calculations (using the k-ε model) showed that at nominal head conditions (1.0 H), efficiency increased from 89.6% to 93% after applying the splitter blades. Under reduced head conditions (0.9 H), efficiency decreased to 82.9%. The addition of splitter blades reduced backflow regions, limited pressure fluctuations, and improved flow symmetry. This application was related to a 300 MW energy storage PaT unit.[27]
Table 2. Geometric parameters of the impellers.
Table 2. Geometric parameters of the impellers.
No.Impeller CodeDescriptionGeometric Parameters
R1gapR2gapLgapEgap
0.W0Continuous blade----
1.W1Gap blade49.452.32.9-
2.W2Gap blade49.750.91.2-
3.W3Gap blade46.950.43.54.7
4.W4Gap blade54.950.44.54.8
5.W5Gap blade46.947.91.04.9
6.W6Gap blade57.350.46.94.7
7.W7Gap blade39.5/40.356.8/57.50.8/0.7-
All impellers are characterised by the following geometric parameters: dp = 20 mm, d1 = 36 mm, d0 = 40 mm, d2 = 150 mm, β1 = 45°, β2 = 30°, z = 7, b-t = 3 mm; notes: Lgap—gap length, corresponding to modulus of the difference in radiuses between the main and secondary blade parts, or between the sections of a gap blade: Lgap = |R1gapR2gap|; Egap—distance between the skeleton midline of the blades; the actual physical gap value corresponds to the given value reduced by the thickness of the blade b-t = 3 mm.
Table 3. Geometry of the impellers.
Table 3. Geometry of the impellers.
ImpellerExplanatory DrawingPhoto
W0Energies 18 02867 i001Energies 18 02867 i002
W1Energies 18 02867 i003Energies 18 02867 i004
W2Energies 18 02867 i005Energies 18 02867 i006
W3Energies 18 02867 i007Energies 18 02867 i008
W4Energies 18 02867 i009Energies 18 02867 i010
W5Energies 18 02867 i011Energies 18 02867 i012
W6Energies 18 02867 i013Energies 18 02867 i014
W7Energies 18 02867 i015Energies 18 02867 i016
Table 4. Characteristics of measuring instruments.
Table 4. Characteristics of measuring instruments.
No.Measuring InstrumentMeasurement RangeAccuracy Class
1.Electromagnetic flowmeter
Arkon MAGS1-ST DN25 PN 40 (Arkon Flow Systems, Brno, Czech Republic)
0.18–17.67 m3/h
(0.1–10 m/s)
0.2%
2.Pressure gauge on pump suction
FUJI FKP 01 (Fuji Electric, Clermont-Ferrand, France)
(−0.7)–(+0.5) bar0.1%
3.Pressure gauge on the pump discharge
FUJI FKP 03 (Fuji Electric, Clermont-Ferrand, France)
0–30 bar0.1%
4.Power transducer
METROL PP73 (METROL, Zielona Gora, Poland)
0–3000 W0.3%
5.Temperature transmitter
FLEXTOP (SIMEX, Gdansk, Poland)
0–50 °C±0.9 °C
Table 5. Key specifications of the computational meshes.
Table 5. Key specifications of the computational meshes.
ImpellerNumber of ElementsAverage QualityAverage SkewnessAspect Ratio (Average)
W040,433,6780.623240.192444.7541
W539,051,2450.613050.195704.8462
W639,454,5880.642170.195104.5086
W740,195,1050.631770.192584.6425
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Nycz, A.; Skrzypacz, J.; Szulc, P. Influence of Gap Blade Geometry on the Energy Performance of Low-Specific-Speed Centrifugal Pumps. Energies 2025, 18, 2867. https://doi.org/10.3390/en18112867

AMA Style

Nycz A, Skrzypacz J, Szulc P. Influence of Gap Blade Geometry on the Energy Performance of Low-Specific-Speed Centrifugal Pumps. Energies. 2025; 18(11):2867. https://doi.org/10.3390/en18112867

Chicago/Turabian Style

Nycz, Aneta, Janusz Skrzypacz, and Przemysław Szulc. 2025. "Influence of Gap Blade Geometry on the Energy Performance of Low-Specific-Speed Centrifugal Pumps" Energies 18, no. 11: 2867. https://doi.org/10.3390/en18112867

APA Style

Nycz, A., Skrzypacz, J., & Szulc, P. (2025). Influence of Gap Blade Geometry on the Energy Performance of Low-Specific-Speed Centrifugal Pumps. Energies, 18(11), 2867. https://doi.org/10.3390/en18112867

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