Application of Fibonacci Sequence and Lucas Sequence on the Design of the Toilet Siphon Pipe Shape

Xiaole Ge; Hongfeng Wang; Shengrong Liu; Zhanfu Li; Xin Tong; Jiafei Pu

doi:10.5614/j.eng.technol.sci.2019.51.4.2

Authors

Xiaole Ge College of Mechanical & Electronic Engineering, Huangshan University, Huangshan, Anhui, 245041,
Hongfeng Wang College of Mechanical & Electronic Engineering, Huangshan University, Huangshan, Anhui, 245041,
Shengrong Liu College of Mechanical & Electronic Engineering, Huangshan University, Huangshan, Anhui, 245041,
Zhanfu Li School of Mechanical & Automobile Engineering, Fujian University of Technology, Fuzhou, Fujian, 350118
Xin Tong School of Mechanical & Automobile Engineering, Fujian University of Technology, Fuzhou, Fujian, 350118
Jiafei Pu College of Mechanical & Electronic Engineering, Huangshan University, Huangshan, Anhui, 245041

DOI:

https://doi.org/10.5614/j.eng.technol.sci.2019.51.4.2

Keywords:

computational fluid dynamic, Fibonacci sequence, flushing performance, Lucas sequence, siphon pipe shape

Abstract

The purpose of this study was to explore the method for designing the toilet siphon pipe shape to improve flushing performance. The Fibonacci sequence and the Lucas sequence were used to design the structural parameters of the siphon pipe. The flushing processes of the toilet were simulated using the computational fluid dynamics (CFD) method to analyze the flushing performance under different siphon pipe shapes. Experimental studies were conducted to verify the reliability of the simulation results. The results indicated that when the Lucas numbers and the Fibonacci numbers were utilized to regulate the curvature of the siphon pipe in the X_i direction and the Y_j direction respectively, the flushing performance of the toilet was optimal. In order to obtain better flushing performance, the curvature of the siphon pipe should be smooth and have obvious transitions at the connections of different sections. When the overall size of the siphon pipe is kept constant, a short siphon pipe length is helpful for the improvement of toilet flushing performance.

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