A universal theory describing the deformation and atomization processes of liquid droplets and columns is proposed on the basis of the first principle of fluid dynamics. Based on the proposed theory, previously reported empirical models such as the TAB model and the OPT model can be derived along with their arbitrary constants. Moreover, this theory provides a formulation for breakup phenomena when two droplets collide. It is also shown on the basis of this theory that the atomization processes of liquid droplets are mathematically similar to biological cell proliferation. This is because actual living cells mainly consist of liquid and because both systems are dominated by three essential forces, that is, internal convection, surface tension, and the internal pressure gradient due to energy input. Finally, it will be shown that the present theory offers a qualitative explanation of the unlacing processes of biological molecules such as the base pairs of purines and pyrimidines surrounded with water molecules, that is, the chemical reaction processes related to the hydrogen bonds.
|Number of pages||31|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - 2001 Feb|
- Cell division
- Cyto-fluid dynamic theory
ASJC Scopus subject areas
- Applied Mathematics