Solutions with Bessel Functions on Diffusion Modeling in Relation with Distance

Abstract:

The diffusion phenomenon is widely spread in nature and bears a special importance for corrosion. Corrosion can have an impact on equipment and installation safety, from simple steel objects to nuclear reactors. As a result, it is extremely important to study corrosion and, indirectly, the phenomenon that sustains it, namely oxygen diffusion. The current paper analyses the mathematical model of diffusion based on differential equations. In this paper we use the diffusion that depends on a distance through a negative exponential function in order to explain the decrease of oxygen concentration, starting from the interface with atmosphere towards the inner layers of the oxides. The increase of the precision of the mathematical model can be done by adding new differential terms.

• Periodical: Advanced Materials Research (Volume 1098)
• Pages: 138-143
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1098.138
• Online since: April 2015
• Authors: Ion Riza*, Marius Constantin Popescu, Constantin Gheorghe Opran
• Keywords: Dry Corrosion, Mathematic Model Solution, Non-Linear Parabolic Equation

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DOI: 10.1520/stp36686s

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