1. Introduction
The organic Rankine cycle (ORC) system is one of the most effective ways to use low-temperature waste heat for power generation, and it is also widely used in geothermal, biomass, and other low-grade energy power generation fields [
1,
2,
3]. Compared with the Rankine cycle using water as a working fluid, the ORC system can recover low-grade energy below 370 °C, which has the characteristics of high efficiency, a relatively simple and compact system, low operation and maintenance costs, and remarkable economic benefits [
4,
5].
The expander is a key part of the ORC system, and the main types include the radial turbine, axial turbine, and the scroll [
6,
7]. For the characteristics of compact structure, small size, large stage enthalpy drops, high expansion ratio, and superior efficiency, the radial inflow turbine is the main type used in commercial ORC plants [
8,
9,
10]. The studies on radial inflow turbines began in the 1960s. Glassman et al. [
11] researched loss models, and compiled the program for the 1D aerodynamic design method of radial inflow turbines. Aungier et al. [
12] introduced the basic concept, blade design, passage flow analysis, boundary layer theory, boundary layer loss and other losses of radial inflow turbines, and the corresponding description equations. Carrillo et al. [
13] designed the radial inflow turbine of low-power gas turbines, using Fortran to write the 1D design program for predicting the turbine performance and calculating the specific design parameters.
There are no significant differences between the design principle of the ORC radial inflow turbine and that of conventional radial inflow turbines. However, there are significant differences in the thermophysical properties of organic working fluid and those of conventional working fluids such as steam and gas, which require special treatment. Additionally, the working fluid may influence the performance of ORC radial inflow turbines due to the different physical properties, so researchers have studied turbines under different working fluids. Fiaschi et al. [
14,
15] comparatively researched the stage efficiency, output power, and reaction degree of the radial inflow turbine with R134a, cyclohexane, n-pentane, and R245fa as the working fluid. Sauret et al. [
16] selected R134a, R143a, R236fa, R245fa, and n-pentane for the design of a radial inflow turbine. The results show that there are no obvious differences in the turbine efficiency designed with five types of working fluid. Nevertheless, there are huge gaps in the impeller size. Li et al. [
17] numerically studied the influence of organic working fluid on the performance of radial inflow turbines, including R245fa, R601, R601a, R123, etc. As R245fa is thermally stable, non-flammable, non-toxic, easily available, and has no ozone depletion potential (ODP), it is a good choice for radial turbines which are very common in the research on the ORC radial turbine [
18].
In order to improve the flow field inside the turbine passage, reduce various energy losses, and improve the turbine efficiency, scholars have developed a great deal of optimal research on radial inflow turbines through numerical simulation or experimental analysis, including aerodynamic optimization of the nozzle and rotor. Pasquale et al. [
19] used a metamodel along with a genetic algorithm to optimize the nozzle of a 150 kW ORC radial turbine. The simulation results show that the optimized nozzle’s loss is decreased and the flow field distribution becomes more uniform. Shuai et al. [
20] used the metamodel-semi-assisted method to optimize the rotor blade. The efficiency of the optimized gas turbine is improved by 1.5%. Barr et al. [
21] designed the back-bend impeller for the radial inflow turbine. The results show that when the inlet blade angle is 25°, the back-bend impeller improves the efficiency by about 2% under a low speed ratio.
For the small-scale ORC radial inflow turbine, the influence of the blade number and blade thickness on the rotor impeller performance is very significant since the hub diameter of the rotor impeller outlet is small. In order to guarantee the performance of the rotor impeller, the blade number must be maintained. In addition, influenced by strength requirements, the blade thickness must also reach a certain value, leading to a smaller flow area at the impeller outlet and increased vulnerability to obstruction and flow loss. Splitter blades can be applied to the impeller to solve this problem. On the one hand, enough blades are installed on the impeller, which guarantees the fluid flow stability and working capacity of the impeller. On the other hand, the outlet consistency of the blades decreases and the impeller outlet flow area increases with the decrease in blade wall friction losses, which guarantees the passage accessibility and impeller efficiency. It is obvious that the impeller with splitter blades can improve the performance of the radial turbine. Therefore, studying the influence of the splitter blades can provide a reference and guidance for the design and optimization of the ORC radial turbine, which is very meaningful.
Currently, splitter blades are often applied to the centrifugal impeller and are commonly seen in research on rotary machines, such as centrifugal pumps, centrifugal compressors, and centrifugal fans, showing certain referential values for the design of splitter blade impellers in radial inflow turbines. Miyamoto et al. [
22,
23] used five-hole probes to specifically measure the internal flow fields of closed and semi-open centrifugal impellers with splitter blades and reached the conclusion that the application of a splitter blade can reduce the main blade load and improve the flow field. Moussavi et al. [
24] researched the influence of the front position and angle of the splitter blade on the centrifugal compressor. The results show that the application of a splitter blade can improve the stage efficiency and surge margin and reduce the impeller inertia moment without apparent changes in the obstruction phenomenon inside the passages. Xu et al. [
25] researched the influence of the circumferential offset of splitter blades on the centrifugal compressor through numerical simulation. The results show that the best circumferential position of the splitter blades is not the middle position between the two main blades, and the performance of the compressors can be improved by optimizing the circumferential position. Ye et al. [
26] developed performance tests for the pump impeller of the splitter blade through simulation calculations and experiments. The results show that the application of splitter blades can improve the impeller lift by 2–12%. Mustafa et al. [
27] conducted performance analysis on the centrifugal pump. The experiment results show that when a 5 + 5 splitter blade is applied, the impeller performance is improved. When the length of the splitter blades is 80% of the length of main blade, the pump achieves the highest efficiency and the minimum energy consumption. Gui et al. [
28] researched centrifugal fans with splitter blades and found that the influence of the splitter blade offset and installation angles is significant.
Impellers with splitter blades are also applied in research on radial inflow turbines. However, compared to centrifugal impellers, there is less research available. Tjokraminata et al. [
29] researched the influence of splitter blades on radial inflow turbines. The results show that the splitter blade can share the load of the main blades and ease the reverse pressure flow, which effectively improves the flow situations inside the passages. Walkingshaw et al. [
30] studied the influence of the length and number of splitter blades on turbine performance through numerical simulations and experiments. The results show that the appropriate blade length and number of splitter blades can improve turbine performance. Nithesh et al. [
10] numerically investigated the effect of splitter blades. The results show that splitter blades can improve passage obstruction.
Thus, it can be summarized that researchers pay more attention to the influence of splitter blades on pumps and compressors, but the studies about the splitter blades of ORC radial turbines are not sufficient. In addition, researchers such as Tjokraminata et al. [
29] and Walkingshaw et al. [
30] studied the influence of splitter blades on turbines, but their studies are just for turbines with a traditional working fluid, which may not be suitable for the ORC turbine. Researchers such as Nithesh et al. [
10] studied the ORC turbine, while neglecting the influence of the offset and length of splitter blades, so the studies about splitter blades are not comprehensive. Therefore, the research about the splitter blades of the ORC turbine urgently needs to be supplemented and improved. In this study, a 10kW ORC radial inflow turbine with R245fa as the working fluid is designed, and splitter blades are applied to improve the performance of the turbine. Through changing the meridian length and circumferential position of the splitter blades, 20 kinds of different impeller schemes are confirmed. A single passage of the impeller is selected as the research subject to shorten the calculation periods, and two indexes (total pressure loss coefficient, energy loss coefficient) are proposed to evaluate the performance of splitter blades in the ORC radial turbine. The effects of the meridian length and circumferential position of the splitter blades are numerically investigated through Fluent
® 15.0. According to the analyses of the calculation results, the optimal meridian length and circumferential position of the splitter blades are given, which can provide a reference and guidance for the design and optimization of the ORC radial turbine.