Closed Form Solutions to Nonlinear Heat Conduction Problems

J. Zabadal; R. Garcia; V. Ribeiro; F. Van Der Laan

doi:10.4028/www.scientific.net/DDF.326-328.115

Paper Titles

Synthesis and Characterization of the Gold-SiO₂ Core-Shell Nanoparticle on the X-Nanozeoliate Used for Immobilization of the Alkaline Protease Enzyme
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The Kinetic Monte Carlo Simulations of the Self-Diffusivity in Zeolites
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Comparison of Elastic Constant for Borassus flabellifier in the Longitudinal and Perpendicular Direction of Fibres with Frequency
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The Principles of Processing Siderite Ores with a High Magnesium Oxide Content
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Closed Form Solutions to Nonlinear Heat Conduction Problems
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Three-Dimensional Diffusion in Arbitrary Domain Using Generalized Coordinates for the Boundary Condition of the First Kind: Application in Drying
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Closed Form Solutions to Nonlinear Heat Conduction Problems

Abstract:

This work presents a new analytical method for solving nonlinear heat conduction problems in arbitrary domains. The method is based on approximate mappings which transforms nonlinear partial differential equations into linear models which can be solved using standard techniques. In order to verify whether the proposed formulation can be employed to conceive new online control systems, numerical results are reported.

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Periodical:

Defect and Diffusion Forum (Volumes 326-328)

Pages:

115-119

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.326-328.115

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Online since:

April 2012

Authors:

J. Zabadal, R. Garcia, V. Ribeiro, F. Van Der Laan

Keywords:

Closed Forms Solutions, Nonlinear Heat Transfer, On-Line Control

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