On one Mathematical Model for Dynamics of Propagation and Retention of Heat over New Fibre Insulation Coating

Armands Grickus, Sharif E. Guseynov

Abstract


In circumstances, when it is important to replace insulation materials with high content of emissions during production it is necessary to create new heat and sound insulation material, which eliminates CO2 emissions, develop its production techniques and technological machinery – raw material chopper, pulp mixer, termopress, dryer chamber, formatting knifes, determine technical control parameters and control equipment, develop mathematical model of the material and calculation methods for design works. It is necessary to design, manufacture and experimentally test the respective technological equipment for insulation production pilot plant. To get exact physical parameters it is necessary design, manufacture and test unique laboratory equipment for determining the properties of insulation material. The mathematical model describing the dynamics of propagation and retention of heat over fibre insulation coating by taking "inner" specificities (graininess and porosity of layered structure of the considered fibre insulation) of heat insulator into account is proposed in the present paper.


Keywords


Insulation material; mathematical model; thermoelastic deformation and thermal movement; temperature distribution

Full Text:

PDF

References


S. R. Reid, and G. Zhou, Impact Behaviour of Fibre-Reinforced Composite Materials and Structures. Cambridge, UK: Woodhead Publishing Limited, 2000.

K. L. Pickering. Properties and Performance of Natural-Fibre Composites. Cambridge, UK: Woodhead Publishing Limited, 2008.

K. Ohno, K. Esfarjani, and Y. Kawazoe, Computational Materials Science: From Ab Initio to Monte Carlo Methods. Berlin: Springer-Verlag, 1999.

R. W. Serth, Process Heat Transfer. Principles and Application. Oxford, UK: Elsevier Science & Technology Books, 2007.

R. W. Serth, and Th. Lestina, Process Heat Transfer: Principles, Applications and Rules of Thumb. Academic Press, 2014.

W. S. Janna, Engineering Heat Transfer. Boca Raton, Florida: CRC Press, 2000.

J.E.Hesselgreaves, Compact Heat Exchangers: Selection, Design, and Operation. Oxford, UK: Pergamon Press, 2001.

A. D. Kraus, A. Aziz, and J. Welty, Extended Surface Heat Transfer. New York: John Wiley & Sons, Inc., 2001.

"District Heating and Cooling in the United States: Prospects and Issues." Committee on District Heating and Cooling, National Research Council, [Online] Available: http://www.nap.edu/catalog/263.html

D. R. Gaskell, An Introduction to Transport Phenomena in Materials Engineering. New Jersey: Momentum Press, 2013.

I. G. Staroverov, and Yu. I. Shiller, Handbook of developer: Heating, Plumbing, Sewerage. Moscow: Stroyizdat, 1990. (In Russian)

V. Blazy, Handbook of developer: Physics of Civil Engineering. Moscow: Technosphera, 2005. (In Russian)

L. D. Landau, and E. M. Lifshits, Course of Theoretical Physics. Vol. 7: Theory of Elasticity. New York: Pergamon Press, 2005.

A. S. Nowick, and B. S. Berry, Relaxation Phenomena in Crystals. Moscow: Atomizdat, 1975. (In Russian)

A. N. Tikhonov, and A. A. Samarsky, Equations of Mathematical Physics. Moscow: Lomonosov Moscow State University Press, 1999. (In Russian)

L. Arkeryd, and C. Cercignani, "A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal." Archive for Rational Mechanics and Analysis, Vol. 125, Issue 3, pp. 271-287, 1993.

C. M. Dafermos, and E. Feireisl, Handbook of Differential Equations. Vol. 1: Evolutionary Equations. Amsterdam: Elsevier B.V.2004.




DOI: http://dx.doi.org/10.17770/etr2015vol3.504

Refbacks

  • There are currently no refbacks.