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Abstract
The two-dimensional transient heat conduction through a thermal insulation of temperature dependent thermal properties is investigated numerically using the FVM. It is assumed that this insulating material is initially at a uniform temperature. Then, it is suddenly subjected at its inner surface with a step change in temperature and subjected at its outer surface with a natural convection boundary condition associated with a periodic change in ambient temperature and heat flux of solar radiation. Two thermal insulation materials were selected. The fully implicit time scheme is selected to represent the time discretization. The arithmetic mean thermal conductivity is chosen to be the value of the approximated thermal conductivity at the interface between adjacent control volumes. A temperature dependent specific heat capacity proposed by a 4th Degree polynomial is fitted. A good agreement is obtained when the predicted results are compared with those obtained from the analytical solution.
References
[2] Zivkovic M.M., Nikolic A.V., Slavkovic R.B. and Zivic F.T., “Non-Linear transient heat conduction analysis of insulation wall of tank for transportation of liquid Aluminum”, Thermal Science, Vol. 14, Suppl., S299-S312, 2010.
[3] Jain P.K., Singh S. and Rizwan-uddin, “An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates”, International journal of heat and mass transfer, ELSEVIER, 53, 2133-2142, 2010.
[4] Amiri D.A., Kayhani M.H., Norouzi M., “Exact analytical solution of unsteady axi-symmetric conductive heat transfer in cylindrical orthotropic composite laminates”, International journal of heat and mass transfer, ELSEVIER, 55, 4427-4436, 2012.
[5] Mishaal Abdulameer Abdulkareem, “Analytical Solution of Transient Heat Conduction through a Hollow Cylindrical Thermal Insulation Material of a Temperature Dependant Thermal Conductivity”, Journal of Engineering, University of Baghdad, Volume 19, No. 11, 1483-1503, November 2013.
[6] Mishaal Abdulameer Abdulkareem, “Analytical Solution of Transient Heat Conduction through a Hollow Spherical Thermal Insulation Material of a Temperature Dependant Thermal Conductivity”, Journal of Engineering, University of Baghdad, Volume 20, No. 1, 78-97, January 2014.
[7] Hofmann A., “The thermal conductivity of cryogenic insulation materials and its temperature dependence”, Elsevier, Cryogenics, 46, 815-824, 2006.
[8] Veersteeg H.K. and Malalasekera W., “An Introduction to Computational Fluid Dynamics: The Finite Volume Method”, Longman Scientific & Technical, England, 1995.
[9] Holman J.P., “Heat Transfer”, 7th ed in SI Units, McGraw Hill, UK, 1992.
[10] Hoffmann, K.A., “Computational Fluid Dynamics for Engineers”, Engineering Education System, Austin, Texas, USA, 1989.
[11] Corruccini R.J. and Gniewek J.J., “Specific Heats and Enthalpies of Technical Solids at Low Temperatures”, NBS Monograph, 21, 1960.
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