Parameter of thermal rectification in the bimaterial with interfacial cracking
DOI:
https://doi.org/10.17721/1812-5409.2021/3.23Keywords:
bi-material, interfacial cracking, parameter of thermal rectificationAbstract
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.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
