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  1. Journal of the Brazilian Society of Mechanical Sciences and Engineering
  2. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
  3. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 5, June 2016
  4. An evolutionary model of bi-flux diffusion processes
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Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 40
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 8, December 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 7, October 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 5, June 2016
The persistence of logarithmic solutions in turbulent boundary layer systems
High-order lattice-Boltzmann
An evolutionary model of bi-flux diffusion processes
An overview of 0–1 test for chaos
A three-dimensional description of shape memory alloy thermomechanical behavior including plasticity
Coupling radiative heat transfer in participating media with other heat transfer modes
Thermal analysis of anti-icing systems in aeronautical velocity sensors and structures
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 4, April 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 3, March 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 2, February 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38, Issue 1, January 2016
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 35

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An evolutionary model of bi-flux diffusion processes

Content Provider SpringerLink
Author Bevilacqua, L. Jiang, M. Silva Neto, A. Galeão, A. C. R. N.
Copyright Year 2015
Abstract In previous papers, we presented a new theory of bi-flux diffusion processes. The bi-flux consists of the simultaneous flux of two sets of particles scattering with two distinct velocities. The first set obeys the classical Fick’s law, it is the primary flux. The complementary set follows a new law, it is the secondary flux. The primary and secondary fluxes are excited into two distinct energy states. The fundamental energy source for the primary flux is the translational energy or active energy. For the secondary flux, linear and angular momentum, both, contribute to the excitation state. Two cases are analyzed. The first one refers to an isolated system in a particular phase state S$_{1}$ where active energy decreases continuously. The system tends to an energy state where active energy is absent. In the second case, the system is in a different phase state S$_{2}$ where active energy increases continuously. The system recovers active energy and tends to a pure Fickian diffusion process. In both processes, the fractions representing the density distribution functions for the primary and secondary fluxes vary with time. It is remarkable that the fourth order equation provides a consistent approach to take into account the rotational energy which otherwise would not be possible with the classical theory. A particular law for the variation of the fraction of particles following Fick’s law is derived. A notion of entropy related to the particular energy states is introduced. Selected examples are presented showing the concentration profile evolution for different rates of energy transfer.
Starting Page 1421
Ending Page 1432
Page Count 12
File Format PDF
ISSN 16785878
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume Number 38
Issue Number 5
e-ISSN 18063691
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2015-12-31
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Anomalous diffusion Energy states Fourth order PDE Mechanical Engineering Bi-flux Time-dependent parameters
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering Automotive Engineering Mechanical Engineering Aerospace Engineering
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