臺灣國際科展

The Polar Equation from Butterfly Sprinkler Heads

科展類別
臺灣國際科展作品
屆次
2018年
科別
數學
得獎情形
三等獎
學校名稱
Princess Chulabhorn Science High School Phetchaburi
作者
Mr.Adisorn Khantong; Miss Kullanut Booranarom; Miss Witchaya Natemonprapa

摘要或動機

This project aims to create the polar equations from the relation of the points on the centre line of the water twisted from Butterfly sprinkler heads. The water path includes inner rim, outer rim and centre line laying in the middle of the water path is used Rhombus’s property. The diagonals are perpendicular bisectors of each other to create the centre line. Then we create the polar equation of the centre line of water that twists from 4 types of the Butterfly sprinkler heads: edge frame, curve frame, STL and STL rotary. The polar equation of outer rim and inner rim is created by adding and removing the “ f ” value ( ; is the distance between the outer rim and the centre line, and is the geometric sequence that is ) of the coefficient (a) of the polar equation respectively. The results show that the formal equation of the centre line is which can explain the different properties of Butterfly sprinkler heads. If “ f ” value is increasing the water path and the blade will be wider that affects droplets distributing thoroughtly. Furthermore the relationship between the volume of water and the radius of water distribution can be processed to find the least time that can increase the appropriate moisture level of soil.


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The Polar Equation from Butterfly Sprinkler Heads 413 KB Adobe Reader(Pdf)檔案