Next Article in Journal
Investigation of Slot-Burner Aerodynamics with Recessed-Type Nozzle Geometry
Next Article in Special Issue
Splash Dynamics of Paint on Dry, Wet, and Cooled Surfaces
Previous Article in Journal / Special Issue
Heat Transfer and Dissipation Effects in the Flow of a Drilling Fluid
Article Menu

Export Article

Open AccessArticle
Fluids 2016, 1(2), 5; doi:10.3390/fluids1020005

On the Flows of Fluids Defined through Implicit Constitutive Relations between the Stress and the Symmetric Part of the Velocity Gradient

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77845, USA
Academic Editor: Mehrdad Massoudi
Received: 11 December 2015 / Revised: 5 March 2016 / Accepted: 17 March 2016 / Published: 24 March 2016
(This article belongs to the Special Issue Rheology and the Thermo-Mechanics of Non-Newtonian Fluids)
View Full-Text   |   Download PDF [1363 KB, uploaded 28 March 2016]   |  

Abstract

Though implicit constitutive relations have been in place for a long time, wherein the stress, the strain (or the symmetric part of the velocity gradient), and their time derivatives have been used to describe the response of viscoelastic and inelastic bodies, it is only recently purely algebraic relationships between the stress and the displacement gradient (or the velocity gradient) have been introduced to describe the response of non-linear fluids and solids. Such models can describe phenomena that the classical theory, wherein the stress is expressed explicitly in terms of kinematical variables, is incapable of describing, and they also present a sensible way to approach important practical problems, such as the flows of colloids and suspensions and the turbulent flows of fluids, and that of the fracture of solids. In this paper we review this new class of algebraic implicit constitutive relations that can be used to describe the response of fluids. View Full-Text
Keywords: implicit constitutive relations; non-Newtonian fluids; stress power-law models; Piezo-viscous fluids implicit constitutive relations; non-Newtonian fluids; stress power-law models; Piezo-viscous fluids
Figures

Figure 1

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

Rajagopal, K.R. On the Flows of Fluids Defined through Implicit Constitutive Relations between the Stress and the Symmetric Part of the Velocity Gradient. Fluids 2016, 1, 5.

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