Application of Multiple Scales Method to the Problem About Characteristics of the Ionic Layer Near The Surface of Lithium Niobate Crystal in a Benzoic Acid Melt
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引用次数: 0
Abstract
The authors present an analytical solution of equations describing the diffusion transfer and recombination of positive lithium ions and negative benzoate ions in benzoic acid after their injection from the surface of a protonated lithium niobate substrate. In the course of the solving one-dimensional stationary problem, the profiles of ions concentrations and electric potential distribution have obtained, corresponding to different values of governing parameters. The benzoate ions form thin boundary layer, while the ions of lithium completely fill considered region and have relatively uniform distribution. The comparison of analytical solution with numerical results permits to estimate the degree of the influence of electric field on the final distributions, which is formed due to the difference of ions concentrations. The expression, which determines the thickness of boundary layer, is obtained by the multiple scales method.
期刊介绍：
Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity.
Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges).
Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are:
− materials science
− fluid mechanics
− process engineering
− physics
− chemistry
− heat and mass transfer
− gravitational biology
− radiation biology
− exobiology and astrobiology
− human physiology
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