Fluid Leaves: Effects of Fluid Flow on Leaf Shapes and Fibonacci Series

Vijayakumar Mathaiyan
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Abstract

The liquid chain and other fluid phenomena, which resemble leaves of plants, are categorized as fluid leaves. Liquid chain happens when two liquid jets hit each other at an angle, or when the liquid jet flows on smooth surfaces. Liquid leaves are not just limited to fluid engineering, but also to biology. The literature shows that the liquid chain looks like leaves, but there are not many resources explaining the physics of the shape being in the form of a leaf. In this work, the author shows that liquid impacting different types of surfaces does form a leaf–like structure. The detailed theory on biology and liquid leaves is mentioned in the application section for better understanding of the scope of this study. This paper visualizes different types of leaves with changes in surface types, and it also reports a new property of fluids found from a simple experiment involving the droplet coalescence. It is remarkable to find that the fluid property is the reason for Fibonacci Series in the universe, including living and non-living things.
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流体叶片:流体流动对叶片形状和斐波那契级数的影响
液体链和其他类似于植物叶子的流体现象被归类为流体叶。当两个液体射流以一定角度相互撞击时,或者当液体射流在光滑表面上流动时,就会产生液体链。液体叶子不仅局限于流体工程,也适用于生物学。文献表明,液体链看起来像叶子,但没有太多的资源来解释叶子形状的物理原理。在这项工作中,作者证明了液体撞击不同类型的表面确实会形成叶状结构。为了更好地理解本研究的范围,在应用部分详细介绍了生物学和液叶的理论。本文对不同类型的叶子表面类型的变化进行了可视化,并报道了从一个涉及液滴聚结的简单实验中发现的流体的新性质。值得注意的是,流体性质是宇宙中斐波那契数列存在的原因,包括生物和非生物。
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期刊介绍: For the past 20 years, Fluid Mechanics Research (prior to 1992 Fluid Mechanics-Soviet Research) has offered broad coverage of the entire field of fluid mechanics including flow of compressible and incompressible fluids, vapor-liquid and slurry flows, turbulence, waves, boundary layers, wakes, channel and nozzle flow, fluid-structure interaction, lubrication, flow in porous media, flow through turbo-machinery, aerodynamics and rheology as well as new and innovative measurement techniques. The journal''s coverage is now being broadened to encompass research in the general area of transport phenomena where convective, diffusional and chemical reaction processes are important and to include biological systems as well as technological and geophysical systems. Fluid Mechanics Research has now merged with the TsAGI Journal, a publication of the world-famous Central Aero-Hydrodynamics Institute in Russia. This will position the new International Journal of Fluid Mechanics Research (IJFMR) as a leading journal on the art and science of transport phenomena and its application to the understanding of complex technological systems while maintaining a balance between academic materials and practical applications.
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