THERMAL SCIENCE

International Scientific Journal

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
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]
REFERENCES
  1. Dombayci A., Golcu, M., Pancar, Y., Optimization of insulation thickness for external walls using different energy-sources, Applied Energy, 83 (2006), pp. 921-928
  2. Khemis, O., et al., Experimental analysis of heat transfers in a cryogenic tank without lateral insulation, Applied Thermal Engineering, 23 (2003), pp. 2107-2117
  3. Comakli, K., Yuksel, B., Optimum insulation thickness of external walls for energy saving, Applied Thermal Engineering, 23 (2003), pp. 473-479
  4. Arulanantham, M. and Kaushika, N. D., Coupled radiative and conductive thermal transfers across transparent honeycomb insulation materials, Applied Thermal Engineering, 16 (1996), pp. 209-217
  5. Chen, Y.G., Parametric evaluation of refrigerated air curtains for thermal insulation, International Journal of Thermal Sciences, 48 (2009), pp. 1988-1996
  6. Babac, G., Sisman, A., Cimen, T., Two-dimensional thermal analysis of liquid hydrogen tank insulation, International journal of hydrogen energy, 34 (2009), pp. 6357-6363
  7. Insulfrax High Temperature Insulation Paper, www.insulfrax.com/
  8. VATRAMIL® GM 22 High Temperature Resistant Mass, www.vatramil.de/
  9. Kojić, M., et al., PAK-T - Program for FE Heat Transfer Analysis, Faculty of Mechanical Engineering, University of Kragujevac, Serbia, 2003
  10. Kojić, M., et al., Finite Element Method I - Linear Analysis (in Serbian), Faculty of Mechanical Engineering, University of Kragujevac, Serbia, 1998
  11. Bathe, K. J., Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, New Jersey, USA, 1996
  12. Lewis, R.W. et al., The Finite Element Method in Heat Transfer Analysis, John Wiley & Sons Ltd, Baffins Lane, Chichester, West Sussex PO19 1UD, England, 1996
  13. Lazić, V., et al., Theoretical-Experimental Determining of Cooling Time (t8/5) in Hard Facing of Steels for Forging Dies, Thermal Science, Vol. 14 (2010), No. 1, pp. 235-246
  14. Rakić, D., Solving the Fields Problems of Physical Dimensions Using Finite Element Method, Diploma thesis, Faculty of Mechanical Engineering, University of Kragujevac, Serbia, 2004

© 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