Parameter of thermal rectification in the bimaterial with interfacial cracking

Authors

  • Kh. I. Serednytska Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, 79060, Lviv, Naukova str., 3-b https://orcid.org/0000-0003-2037-1223

DOI:

https://doi.org/10.17721/1812-5409.2021/3.23

Keywords:

bi-material, interfacial cracking, parameter of thermal rectification

Abstract

The phenomenon of thermal rectification in bi-material with a periodic system of gas-filled interfacial cracks has been studied. The change of thermal resistance and pressure of the crack filler under the action of tensile forces and uniform heat flow is taken into account. The gas pressure is determined from the Clapeyron-Mendeleev equation. The thermal resistance of the gas is directly proportional to the opening of the cracks and inversely proportional to the thermal conductivity of the gas. The thermo-elastic problem is reduced to nonlinear systems of singular integro-differential equations for an opening cracks and a temperature jump between the cracks faces. An analytical-numerical iterative procedure is proposed to solve the system of singular integro-differential equations. The parameter of thermal rectification is determined and its dependence on the applied on the thermal and mechanical loads, thermal conductivity and mass of the gas and the interfacial cracking factor of the bi-material is analyzed. The nonlinear dependence of the thermal rectification parameter on the heat flow density and the interfacial cracking factor is established. The thermal rectification is manifested to a greater extent for higher values of heat flow and lower thermal conductivity of gas.

Pages of the article in the issue: 119 - 122

Language of the article: Ukrainian

References

MADHUSUDANA C. V. (1993) Thermal contact conduction and rectification at low joint pressures. Int. Comm. Heat Mass Transf. 20(1). pp. 123–132.

BAHRAMI M., YOVANOVICH M.M. & CULHAM J.R. (2004) Thermal joint resistances of conforming rough surfaces with gas-filled gaps. J Thermophys Heat Transf. 18. pp. 318–325.

CHUMAK K. & MARTYNYAK R. (2012) Thermal rectification between two thermoelastic solids with a periodic array of rough zones at the interface. Int. J. Heat Mass Transf. 55(21–22). pp. 5603–5608.

MARTYNYAK, R. M. & SEREDNYTSKA, K. I. (2017) Kontaktni zadachi termoprugnosti dlya migfaznyh trishchyn v bimetrialnyh tilah. Lviv: Rastr-7.

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Published

2021-12-07

How to Cite

Serednytska, K. I. (2021). Parameter of thermal rectification in the bimaterial with interfacial cracking. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 119–122. https://doi.org/10.17721/1812-5409.2021/3.23

Issue

Section

Differential equations, mathematical physics and mechanics