THERMAL SCIENCE

International Scientific Journal

Miroslav M. Živković

,

Aleksandar V. Nikolić

,

Radovan B. Slavković

,

Fatima T. Živić

NONLINEAR TRANSIENT HEAT CONDUCTION ANALYSIS OF INSULATION WALL OF TANK FOR TRANSPORTATION OF LIQUID ALUMINUM

ABSTRACT
This paper deals with transient nonlinear heat conduction through the insulation wall of the tank for transportation of liquid aluminum. Tanks designed for this purpose must satisfy certain requirements regarding temperature of loading and unloading, during transport. Basic theoretical equations are presented, which describe the problem of heat conduction finite element (FE) analysis, starting from the differential equation of energy balance, taking into account the initial and boundary conditions of the problem. General 3D problem for heat conduction is considered, from which solutions for two- and one-dimensional heat conduction can be obtained, as special cases. Forming of the finite element matrices using Galerkin method is briefly described. The procedure for solving equations of energy balance is discussed, by methods of resolving iterative processes of nonlinear transient heat conduction. Solution of this problem illustrates possibilities of PAK-T software package, such as materials properties, given as tabular data, or analytical functions. Software also offers the possibility to solve nonlinear and transient problems with incremental methods. Obtained results for different thicknesses of the tank wall insulation materials enable its comparison in regards to given conditions.
KEYWORDS
heat conduction, finite element analysis, wall insulation, Galerkin method, PAK-T, optimization
PAPER SUBMITTED: 2010-05-06
PAPER REVISED: 2010-07-30
PAPER ACCEPTED: 2010-07-05
DOI REFERENCE: https://doi.org/10.2298/TSCI100506029Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE Supplement 1, PAGES [S299 - S312]
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Nonlinear transient heat conduction analysis of insulation wall of tank for transportation of liquid aluminum

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence