6533b7dafe1ef96bd126e06d

RESEARCH PRODUCT

A Certain Mathematical Model of the Glass Fibre Material Production

Harijs KalisJānis Cepītis

subject

Surface (mathematics)chemistry.chemical_compoundMonotone polygonMaterials sciencechemistryFlow (mathematics)Differential equationGlass fiberOxideProcess (computing)MechanicsComposite materialChemical reaction

description

There is considered the full mathematical model of chemical reactions on the surface of glass fibre material that was imbedded in the flow of acid solution and was pulled longitudionally. Self-similar forms of this model are obtained and their approximations by monotone schemes of differences are proposed. Some special cases which make possible to get the analytic solutions are underlined. The self-similar forms of the differential equations of the substances transport allow to calculate the emission of the alkaline oxide from the glass fibre material under the influence of the acid solution flow. Some conclusions with practical significance for the technological process is made up according to the provided computational experiments.

https://doi.org/10.1007/978-3-322-96688-9_19