Optimization of a fractal electrode-level charge transport model

Abstract

A fractal electrode-level charge transport model is established to study the effect the porous electrodes on the properties of solid oxide fuel cells. A fractal variational principle is used to obtain an approximate solution of the over potential distribution throughout electrode thickness. Optimal design of the electrode is discussed.

Variational principle for one-dimensional inviscid flow

“…Variational theory is powerful mathematical tool to both the numerical and analytical analysese. The porous electrodes can be optimized by variational theory [15], and computer simulation can be designed by establishing a suitable functional [16,17].…”

“…eq. ( 7) is called as the trial variational formulation, there are many alternative ways to construct a suitable energy-form functional [7][8][9][10][11][12][13][14][15][16][17][18].…”

Vapor injection technology for heat-pump air conditioner of electric bus in an extreme environment

“… In ultra-low temperature heating operating conditions, compared with the non-vapor injection heat pump air conditioners, when the compressor speed increased from 2000 rpm to 5000 rpm, the heating performance coefficient COP of the vapor injection increased by 2.8%-14.2%. An optimal condition [18,19] can be obtained theoretically, which will be carried out in the future.…”

Thermodynamical properties of rotating disk electrodes for second order ECE reactions

“…where d/dx α is the fractal derivative [25][26][27][28][29] and αthe fractal dimensions of the porous layer. We will discusss eqs.…”