Mathematical Model and Numerical Scheme for Calculation of Electric Fields in Galvanic Baths with Non-conductive Screen
Author(s):
Irina Yu. Pchelintseva
Tambov State Technical University
Tambov
Postgraduate student of the Department of Automated Decision Support Systems
ul. Sovetskaya 106, 392000, Tambov, Russian Federation
irina_yu_10@mail.ru
Yuriy V. Litovka
Tambov State Technical University
Tambov
Doctor of Technical Sciences, Professor
Professor of the Department of Automated Decision Support Systems
ul. Sovetskaya 106, 392000, Tambov, Russian Federation
polychem@list.ru
Abstract:
A mathematical model of the electric field in a electroplating bath with a flat anode
and cathode, which has an infinitely thin flat insulator wall with transverse slots, is considered.
Such a non-conductive screen is necessary for a more uniform coverage of the cathode detail.
In this article, a transition is made to the difference analogue of the problem.
A numerical method based on Newton's method for solving nonlinear algebraic equations
is described, a computational experiment for 4 slits is carried out. The obtained results show
the effectiveness of the applied numerical method.
Keywords
- coating thickness
- Laplace's equation
- Newton's method
- non-uniformity criterion
References:
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- Pchelintseva, I. Yu., Pchelintsev, A. N., Litovka, Yu. V. Svidetel'stvo o gosudarstvennoy registratsii programmy dlya EVM №2020614929. Chislennoye resheniye uravneniya Laplasa dlya raschota raspredeleniya elektricheskogo potentsiala v gal'vanicheskoy vanne na baze matematicheskogo paketa Maxima [Certificate of state registration of the computer program No. 2020614929. Numerical solution of the Laplace equation for calculating the distribution of electric potential in a galvanic bath based on the mathematical package Maxima]. - 04/29/2020
