Abstract
An analytical and numerical modeling of the process of obtaining hydroxyl radicals OH0 and atomic hydrogen H0 from water molecules on a square lattice based on electrical neutralization of ions OH− on an anode and ions H+ on a cathode is conducted. The numerical solution of a system of equations describing a stationary migration of ions H+ and OH− over the interstitial sites of a square lattice located in an external electric field is considered. The ions H+ and OH− in the interstitial sites of a square lattice are generated as a result of dissociation of a water molecule under the action of external electromagnetic radiation and external constant (stationary) electric field. It is assumed that anode and cathode are unlimited ion sinks. The problem is solved using the finite difference approximation for the initial system of differential equations with the construction of an iterative process due to the nonlinearity of the constituent equations. It is shown by using calculation that the dependence of the ion current on a difference of electric potentials between anode and cathode is sublinear.
Highlights
atomic hydrogen H0 from water molecules on a square lattice based on electrical neutralization of ions
The numerical solution of a system of equations describing a stationary migration of ions
over the interstitial sites of a square lattice located in an external electric field is considered
Summary
An analytical and numerical modeling of the process of obtaining hydroxyl radicals OH0 and atomic hydrogen H0 from water molecules on a square lattice based on electrical neutralization of ions OH− on an anode and ions H+ on a cathode is conducted. Для оценки эффективности этого процесса рассмотрим задачу о миграции по междоузлиям двумерной решетки ионов H+ и OH−, получаемых при диссоциации молекул H2O. Где e – элементарный заряд, P = Peq = (Nt − Nim)/Nt – доля междоузлий в решетке, свободных и от молекул, и от ионов; R – длина прыжка иона между стота прыжков (число прыжков в единицу времени) соседними ионов OH−
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