Ballesteros, T. R., S. Velarde and C. J. P. Hurtado (2008). Noise Prediction of a Centrifugal Fan: Numerical Results and Experimental Validation. Journal of Fluids Engineering. 130(9), 253-257.##
Ballesteros-Tajadura, R., S. Velarde-SuaRez and J. P. Hurtado-Cruz (2006). Numerical Calculation of Pressure Fluctuations in the Volute of a Centrifugal Fan. Journal of Fluids Engineering 128(2), 359.##
Cai, J. C., D. T. Qi, F. A. Lu and X. F. Wen (2010). Study of the Tonal Casing Noise of a Centrifugal Fan at the Blade Passing Frequency. Journal of Low Frequency, Vibration & Active Control 29(4), 253-266.##
Chen, W., M. Wang, K. Mai, H. Li and N. Liu (2020). Structure design of low-frequency broadband sound-absorbing volute for a multi-blade centrifugal fan. Applied Acoustics, 165.##
Chen, Y. (2010). Optimization of Aerodynamic Performance and Noise Control on a Forward Curved Centrifugal Fan. Huazhong University of Science andTechnology. Wuhan,China.##
Darvish, M., B. Tietjen, D. Beck and S. Frank (2014). Tonal Noise Reduction in a Radial Fan With Forward-Curved Blades. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. Volume 1A: Aircraft Engine; Fans and Blowers. Düsseldorf, Germany. June 16f, Germanydes. Proceedi##
Gun, G. (2016). Turbulence Model and Validation of Air Flow in Wind Tunnel. International Journal of Technology 7(8), 168-170.##
Heo, S., D. Kim and C. Cheong (2014). Analysis of Relative Contributions of Tonal Noise Sources in Volute Tongue Region of a Centrifugal Fan. The Journal of the Acoustical Society of Korea 33(1), 12-19.##
Jadhav, N. S. and S. R. Patil (2016). Effects of Volute Tongue Clearance and Rotational Speed on Performance of Centrifugal Blower. International journal of scientific research in science, engineering and technology 2(4), 261-266.##
Khelladi, S., S. Kouidri and Bakir, F. (2008). Predicting tonal noise from a high rotational speed 313(1-2), 113-133.##
Kind, R. J. and M. G. Tobin (1990). Flow in a Centrifugal Fan of the Squirrel-Cage Type. Journal of Turbomachinery 112(1), 84-90.##
Lee, Y. T. (2010). Impact of Fan Gap Flow on the Centrifugal Impeller Aerodynamics, Journal of Fluids Engineering 132(9), 91103-91103.##
Li, W., L. Xiao and Meng, W. (2020). Effects of Bionic Volute Tongue on Aerodynamic Performance and Noise Characteristics of Centrifugal Fan Used in the Air-conditioner, 17(4), 780-792.##
Lin, S. and C. Huang (2002). An integrated experimental and numerical study of forward–curved centrifugal fan. Experimental Thermal and Fluid Science 26(5), 421-434.##
Liu, X., M. Yuan and Y. Mao (2009). Numerical optimization of volute outlet structure for forward-curved centrifugal fan. HsiAnChiao Tung Ta Hsueh. Journal of Xian Jiaotong University 5(5), 012.##
Lun, Y. X., L. M. Lin and H. J. He (2019). Effects of vortex structure on performance characteristics of a multiblade fan with inclined tongue. Proc IMechE A J Power Energy 233(8), 1007) ower .##
Ning, K., X. Zhang, R. Guan, h. Guan, L. Qin, J. Huang, J. Guo and Y. Zhao (2010). CFD simulation and optimization of 9-26.5a high pressure centrifugal fan. Mechanical design 35 (S1), 155-158##
Patil, S. R., S. T. Chavan and N. S. Jadhav (2018). Effect of volute tongue clearance variation on performance of centrifugal blower by numerical and experimental analysis. Materials Today: Proceedings 5(2), 3883-3894.##
Sistek, V. (2015). Corotational and Compressibility Aspects Leading to a Modification of the Vortex-Identification Q-Criterion. AIAA Journal 53(8), 2406-2410.##
Suhrmann, J. F., D. Peitsch and Gugau, M. (2012). On the effect of volute tongue design on radial turbine performance[C]//Turbo Expo: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 44748: 891-901.##
Sun, S. M., L. Q. Ren and T. Mei (2009). Practice and simulation analysis for reducing the centrifugal fan noise with bionics volute tongue. Zhendong Yu Chongji. Journal of Vibration & Shock 28(5), 32-34.##
Sun, Z., J. Zhou and H. Zhang (2007). On the Influencing Factors in a Pitot Tube Measurement I. Influence of Air Horn and Mounting Angle. Chinese Journal of Sensors and Actuators 20(3), 690-693.##
Ting, Z., Z. Cun and R. Gang (2012). Experimental Study on the Effect of Inclined Volute Tongue on the Noise Reduction of Centrifugal Fan. Fluid Machinery 10, 45-55##
Velarde-Suárez, S., R. Ballesteros-Tajadura, C. Santolaria-Morros (2008). Reduction of the aerodynamic tonal noise of a forward-curved centrifugal fan by modification of the volute tongue geometry. Applied Acoustics 69(3), 225-232.##
Wang, K, Y. Ju and C. Zhang (2018). A Quantitative Evaluation Method for Impeller-Volute Tongue Interaction and Application to Squirrel Cage Fan with Bionic Volute Tongue. Journal of Fluids Engineering 22,123-134.##
Wang, K., Y. P. YapingJu and C. H. Zhang (2021). Aerodynamic optimization of forward-curved blade centrifugal fan characterized by inclining bionic volute tongue. Structural and Multidisciplinary Optimization 130(9), 235-237.##
Wei, Y., L. Zhu and W. Zhang (2020). Numerical and experimental investigations on the flow and noise characteristics in a centrifugal fan with step tongue volutes. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234(15), 2979-2993.##
Wolfe, T., Y. T. Lee and M. E. Slipper (2015). A Performance Prediction Model for Low-Speed Centrifugal Fans. Journal of Fluids Engineering 137(5), 051106-051112.##
Wu, S. and Y. C. Fu (2013). Estimation of turbulent natural convection in horizontal parallel plates by the Q criterion. International Communications in Heat and Mass Transfer 45, 41-46.##
Xiong, Z., J. Deng, M. Wang, L. Yang and L. sun (2018). Influence of modified volute tongue design on aerodynamic performance of multi blade centrifugal fan. Fan technology 60 (06), 31-37##
Xu, C., M. Muller and W. J. Chen (2005). Numerical Investigations of Volute Performance Due to Tongue Geometry. 43rd AIAA Aerospace Sciences Meeting and Exhibit. Chichester, UK.##
Yang, H., P. Yu and J. Xu (2019). Experimental investigations on the performance and noise characteristics of a forward-curved fan with the stepped tongue. Measurement & Control 22, 1480-1488.##
Yang, J. (2018). CFD numerical simulation and blade profile analysis of pressure characteristics of 9-26 centrifugal fan. Wuhan University of technology, Wuhan,China.##
Zhang, B., S. Huang and Z. Sun (2006). Performance Improvement of Centrifugal Fan by Means of Numerical Simulation. Chinese Journal of Mechanical Engineering 019(001), 55-58.##
Zhang, J. H., W. L. Chu, H. G. Zhang, Y. H. Wu, and X. J. Dong (2016). Numerical and experimental investigations of the unsteady aerodynamics and aero-acoustics characteristics of a backward curved blade centrifugal fan .Applied Acoustics 110, 256-267.##
Zhang, N., J. X. Jiang, B. Gao and D. Ni (2020) Numerical analysis of the vortical structure and its unsteady evolution of a centrifugal pump, Renewable Energy 155, 748-760.##
Zhou H. and G. B.Ca (2017). Research of wall roughness effects based on Q criterion. Microfluidics and Nanofluidics 21(7), 114-121.##
Zhou, S. Q., H. X. Zhou and K. Yang (2021). Research on blade design method of multi-blade centrifugal fan for building efficient ventilation based on Hicks-Henne function. Sustainable Energy Technologies and Assessments 217(3), 100971 -100983.##
)
