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Title: Mathematical model of testing of pipeline integrity by thermal fields

Thermal fields testing at the ground surface above a pipeline are considered. One method to obtain and investigate an ideal thermal field in different environments is a direct numerical simulation of heat transfer processes taking into account the most important physical factors. In the paper a mathematical model of heat propagation from an underground source is described with accounting of physical factors such as filtration of water in soil and solar radiation. Thermal processes are considered in 3D origin where the heat source is a pipeline with constant temperature and non-uniform isolated shell (with 'damages'). This problem leads to solution of heat diffusivity equation with nonlinear boundary conditions. Approaches to analysis of thermal fields are considered to detect damages.
Authors:
 [1]
  1. Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, S. Kovalevskaya str., 16, Ekaterinburg, 620990 (Russian Federation)
Publication Date:
OSTI Identifier:
22390655
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1631; Journal Issue: 1; Conference: AMEE'14: 40. Conference on Applications of Mathemaics in Engineering and Economics, Sozopol (Bulgaria), 8-13 Jun 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; DIFFUSION EQUATIONS; FILTRATION; HEAT; HEAT SOURCES; HEAT TRANSFER; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SOLAR RADIATION; SURFACES