nanostructured media
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2020 ◽  
Vol 124 (15) ◽  
pp. 3137-3144
Author(s):  
Karina Shimizu ◽  
Shota Hisamitsu ◽  
Nobuhiro Yanai ◽  
Nobuo Kimizuka ◽  
José N. Canongia Lopes

Author(s):  
Weijie Liu ◽  
Khemais Saanouni ◽  
Samuel Forest ◽  
Ping Hu

AbstractIn this paper, the micromorphic approach, previously developed in the mechanical context is applied to heat transfer and shown to deliver new generalized heat equations as well as the nonlocal effects. The latter are compared to existing formulations: the classical Fourier heat conduction, the hyperbolic type with relaxation time, the gradient of temperature or entropy theories, the double temperature model, the micro-temperature model or micro-entropy models. A new pair of thermodynamically-consistent micromorphic heat equations are derived from appropriate Helmholtz-free energy potentials depending on an additional micromorphic temperature and its first gradient. The additional micromorphic temperature associated with the classical local temperature is introduced as an independent degree of freedom, based on the generalized principle of virtual power. This leads to a new thermal balance equation taking into account the nonlocal thermal effects and involving an internal length scale which represents the characteristic size of the system. Several existing extended generalized heat equations could be retrieved from constrained micromorphic heat equations with suitable selections of the Helmholtz-free energy and heat flux expressions. As an example the propagation of plane thermal waves is investigated according to the various generalized heat equations. Possible applications to fast surface processes, nanostructured media and nanosystems are also discussed.


Author(s):  
C. Martijn de Sterke ◽  
Bjorn C. P. Sturmberg ◽  
Lindsay C. Botten ◽  
Christopher G. Poulton ◽  
Kokou B. Dossou ◽  
...  

Author(s):  
C. Martijn de Sterke ◽  
Björn C.P. Sturmberg ◽  
Lindsay C. Botten ◽  
Christopher G. Poulton ◽  
Kokou B. Dossou ◽  
...  

Langmuir ◽  
2014 ◽  
Vol 30 (9) ◽  
pp. 2376-2384 ◽  
Author(s):  
Tejwant Singh Kang ◽  
Keita Ishiba ◽  
Masa-aki Morikawa ◽  
Nobuo Kimizuka

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