The centrifugal compressor is an essential part of the auxiliary power unit (APU) for airplanes and helicopters. As aircrafts are sometimes required to operate at high altitudes, the aerodynamic condition of the gas turbine and APU lies at low Reynolds numbers. This study presents numerical simulations to investigate the effects of low Reynolds numbers on the flow and performance of a centrifugal compressor, including the impeller, diffuser and volute. For the reference Reynolds number (8.4©10 5), the numerical results agreed well with the experimental measurement in total pressure ratio. It was found that the performance of the overall compressor decreases slowly as the Reynolds number decreases, but drops significantly below the threshold of 200,000. The flow inside the impeller didn't separate in spite of thick boundary layers, even at the lowest Reynolds number (8.4©10 4). In this study, it was found that the diffuser is the most susceptible part for separation caused by low Reynolds numbers. The large separation in the diffuser vanes degrades the flow, and decreases the efficiency of the diffuser and volute successively.
Extended AbstractSince Toda [1] firstly introduced a vibrating flat plate, many researchers have conducted experiments to understand its effects on the heat transfer around a small heat source. Recently, it is relatively easy to make a vibrating plate with piezoelectric materials. When AC power is applied to a flat plate on which the piezoelectric material is deposited, the plate moves back and forth so that this movement can generate a small airflow to cool a small electric device. That's why a vibrating plate with the piezoelectric material is called as 'piezoelectric fan'.Although most of researchers had been focusing on the heat transfer enhancement with a piezoelectric fan, Kim et al. [2] tried to understand the flow generated by the fan and measured two-dimensional velocity field using LDV (Laser Doppler Velocimetry). His experimental results clearly showed the formation of counter-rotating vortices by a piezoelectric fan. Choi et al. [3][4][5] conducted two-dimensional numerical simulations to obtain the flow around a piezoelectric fan and validated their results with the experimental data of Kim et al. [2]. Based on the numerical simulations, they investigated the exact moment of vortex separation from the fan and the effects of phase difference and distance between two fans on the flow generation. A few researchers succeeded in simulating the 3D flow around a vibrating plate, they adopted tetrahedral mesh with spring-based dynamic mesh and re-meshing techniques to implement the movement of the plate. Therefore, the simulated counter-rotating vortex was weaker than the experimentally measured one, even though the overall heat transfer rate agreed well between 3D simulations and the experiments.This study is a continuation of the previous works [3][4][5] to calculate the 3D flow around a piezoelectric fan with minimizing the numerical dissipation caused by the mesh movement. Therefore, only hexahedral mesh was generated around the fan, and its movement was implemented by the spring-based dynamic mesh technique only without using the re-meshing. From the numerical results, it was found that the endwall has a significant effect on the flow around the fan. The clearance flow between the sides of the fan and the endwalls forms two alternating vortices. These vortices finally merged with the counter-rotating vortices generated at the plate tip, causing very complex flow near the endwall. These vortex motions make the axial velocity increase at the mid-span but decrease near the endwall. These flow structures around the piezoelectric fan have not been clearly resolved by tetra elements with the re-meshing technique in previous researches.
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