On a constitutive equation of heat conduction with fractional derivatives of complex order
| Autor: | Stevan Pilipović, Teodor M. Atanackovic |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Mechanical Engineering
media_common.quotation_subject Constitutive equation Mathematical analysis Computational Mechanics Characteristic equation Second law of thermodynamics 02 engineering and technology Relativistic heat conduction Thermal conduction 01 natural sciences Fractional calculus Cauchy elastic material 020303 mechanical engineering & transports 0203 mechanical engineering Integro-differential equation 0103 physical sciences 010306 general physics media_common Mathematics |
| Zdroj: | Acta Mechanica. 229(3):1111-1121 |
| ISSN: | 0001-5970 |
| Popis: | © 2017, Springer-Verlag GmbH Austria. We study the heat conduction with a general form of a constitutive equation containing fractional derivatives of real and complex order. Using the entropy inequality in a weak form, we derive sufficient conditions on the coefficients of a constitutive equation that guarantee that the second law of thermodynamics is satisfied. This equation, in special cases, reduces to known ones. Moreover, we present a solution of a temperature distribution problem in a semi-infinite rod with the proposed constitutive equation. |
| Databáze: | OpenAIRE |
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