The polar bear hairs have special hierarchical structure with fractal dimensions of golden ratio, which endows the creature with remarkable cool prevention. Fractal calculus is adopted in this pape...

Fractal calculus and its application to explanation of biomechanism of polar bear hairs

In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mas...

A fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media

Local fractional calculus is used to derive fractional partner of the KdV–Burgers–Kuramoto equation, its physical understanding is elucidated and its solution properties are revealed. Adomian’s dec...

Physical insight of local fractional calculus and its application to fractional kdv–burgers–kuramoto equation

Pull-in instability, as an inherent nonlinear problem, continues to become an increasingly important and interesting topic in the design of electrostatic Nano/Micro-electromechanical systems (N/MEM...

Fractal n/mems: from pull-in instability to pull-in stability

Kozeny-Carman constant of porous media: Insights from fractal-capillary imbibition theory

In this work, the effective average height of the roughness elements, the relative increase of the pressure gradients, the relative decrease of the permeability are derived based on the fractal geometry theory and technique for laminar flow through tree-like branching networks with roughened channels. The relationships among the effective average height, the structural parameters and pressure drops as well as permeability are studied. It is found that the total pressure drop across a tree-like branching network with roughened channels is increased by a factor of 1/(1 − e)4, and the permeability for the network with roughened channels is decreased by a factor of (1 − e)2, where e is the relative roughness of surfaces of channels, compared to those with smooth channels.

Huahua Fu

Papers

Fractal analysis of flow resistance in tree-like branching networks with roughened microchannels