Next Article in Journal
Horizontal Cellular Oscillations Caused by Time-Periodic Resonant Thermal Forcing in Weakly Nonlinear Darcy-Bénard Convection
Next Article in Special Issue
Numerical Simulation of Non-Equilibrium Two-Phase Wet Steam Flow through an Asymmetric Nozzle
Previous Article in Journal
Improving Accuracy in α-Models of Turbulence through Approximate Deconvolution
Article Menu

Export Article

Open AccessArticle
Fluids 2017, 2(4), 59; doi:10.3390/fluids2040059

A New Non-Equilibrium Thermodynamic Fractional Visco-Inelastic Model to Predict Experimentally Inaccessible Processes and Investigate Pathophysiological Cellular Structures

1
IPCF-C.N.R., Via Ferdinando Stagno d’Alcontres 37, Faro Superiore, 98158 Messina, Italy
2
Department of Chemical, Biological, Pharmaceutical and Environmental Sciences, University of Messina, Viale Ferdinando Stagno d’Alcontres 31, 98166 Messina, Italy
*
Author to whom correspondence should be addressed.
Received: 25 September 2017 / Revised: 23 October 2017 / Accepted: 24 October 2017 / Published: 1 November 2017
(This article belongs to the Special Issue Non-Equilibrium Thermodynamics in Multiphase Flows)
View Full-Text   |   Download PDF [256 KB, uploaded 1 November 2017]

Abstract

After remarking on non-equilibrium thermodynamics with internal variables, this paper highlights the importance of these variables to the study of biological systems. Internal variables can provide a more detailed description of biological processes that occur inside cells, tissues and organs. In order to introduce a fractional model on a visco-inelastic medium based on Kluitenberg’s non-equilibrium thermodynamics, the origin of the complex dynamic modulus is shown by means of linear response theory. This research recalls our previous work to develop an ultrasound wave technique that allows us to investigate biological systems, and introduces the fractional visco-inelastic model and relative generalized relaxation time, to show that it is possible to obtain the Cole–Cole model in a particular case. View Full-Text
Keywords: non-equilibrium thermodynamics; fractional models; pathophysiological cellular structures non-equilibrium thermodynamics; fractional models; pathophysiological cellular structures
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Farsaci, F.; Ficarra, S.; Galtieri, A.; Tellone, E. A New Non-Equilibrium Thermodynamic Fractional Visco-Inelastic Model to Predict Experimentally Inaccessible Processes and Investigate Pathophysiological Cellular Structures. Fluids 2017, 2, 59.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fluids EISSN 2311-5521 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top