Mathematical analysis of flow of non-Newtonian fluid due to metachronal beating of cilia in a tube and its physiological applications
作者：
Highlights：
• The ciliary flow of seminal fluid (non-Newtonian fluid) in the vas deferens of the male reproductive tract has been investigated.
• The theoretical value of the volumetric flow rate obtained from the present model is in good agreement with the experimental value.
• The numerical values of pressure gradient are computed by subroutine “root (f (y), y, a, b)” of the MATHCAD package.
• The effects of ε, α, β and Qav on the plug core radius is, for the first time, brought out to the attention.
• The present study brings out a new observation on the variation of flow resistance with the parameters ε, α, and β.
摘要
•The ciliary flow of seminal fluid (non-Newtonian fluid) in the vas deferens of the male reproductive tract has been investigated.•The theoretical value of the volumetric flow rate obtained from the present model is in good agreement with the experimental value.•The numerical values of pressure gradient are computed by subroutine “root (f (y), y, a, b)” of the MATHCAD package.•The effects of ε, α, β and Qav on the plug core radius is, for the first time, brought out to the attention.•The present study brings out a new observation on the variation of flow resistance with the parameters ε, α, and β.
论文关键词：Ciliary movement,Seminal fluid,Herschel–Bulkley fluid,Vas deferens,Metachronal wave
论文评审过程：Received 2 March 2018, Revised 20 May 2018, Accepted 27 May 2018, Available online 20 June 2018, Version of Record 20 June 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.05.048
