Introducing an Alternative Mathematical Model for Tracing the flow of Internal Molecular Frequency Distribution and Predicting the Pattern Exact Diffusion at Boundary of Fluid Droplet

EasyChair Preprint 4528

Abstract

Analyzing the complex behavior of fluid droplet is still an ongoing research topic throughout the world.  Moreover, we can utilize this concept in our blood circulation system to develop a system for early disease detection using fluid droplet. In summary, it will enable us to organize such a co-ordinate system where a certain molecule in the drop will act as its reference point and the reference can be controlled from a distance. The first part to organize such system would be to study how the flow of inter molecular frequency of a fluid droplet. This internal frequency distribution causes the change in shape at the boundary of a certain droplet. Such rapid and periodic change of water droplet was observed in 2015 on a superhydrophobic surface (published in Nature). Its focus was to study the movement of the center of mass as fluid trampoline. Here our main objective would be to observe how the boundary of different position of the boundary of water droplet is changed with time on a superhydrophobic surface. It can give an insight about the change of boundary position (and internal frequency distribution) of water droplet in a hydrophilic and mixed environment (blood). Our methodology can be divided into four steps. First step is to take the video of a certain water droplet on different surface. Second step was to observe the video in slow motion and find out the mentionable shape change of water boundary. Third step is to fit a suitable equation whose plot can be perfectly matched with the shape of water droplet and change of different coefficients in the equation gives different real observed shape of vibrating water droplet. Last step is to analyze the equation to make a link of the variable in our proposed equation with the variable of the physical world. Following this methodology, we have observed that change of water boundary on a superhydrophobic surface comes from 4^th power polynomial of two-dimensional position with sinusoidal term.

Keyphrases: Superhydrophobic, Weber number, frequency, microfluid, molecular dynamics

@booklet{EasyChair:4528,
  author    = {Md. Tasfiq Rahman and Chinmoy Mandal Shishir},
  title     = {Introducing an Alternative Mathematical Model for Tracing the flow of Internal Molecular Frequency Distribution and Predicting the Pattern Exact Diffusion at Boundary of Fluid Droplet},
  howpublished = {EasyChair Preprint 4528},
  year      = {EasyChair, 2020}}