کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
824730 1469969 2016 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Cattaneo–Vernotte equation versus Fourier thermoelastic hyperbolic heat equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Cattaneo–Vernotte equation versus Fourier thermoelastic hyperbolic heat equation
چکیده انگلیسی

The aim of this short note is to point out the inconsistency of the Cattaneo–Vernotte law. This law is assumed to be valid at a scale L of a few mean free paths of phonons lfp. Thus a separation of scales is absent and the Cattaneo–Vernotte law looses its status of equivalent macroscopic law. On an other hand, the classical thermoelastic system, which is well supported by experimental investigations, is valid for L ≫ lfp where a separation of scales is present. In this domain of validity, an acoustic wave is adiabatic. It results in an apparent hyperbolic heat equation which remains valid for L > 10 lfp. This equation shows a similar structure to the Cattaneo–Vernotte equation, however with a different relaxation time.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Engineering Science - Volume 101, April 2016, Pages 45–49
نویسندگان
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