Preview

Proceedings of the Voronezh State University of Engineering Technologies

Advanced search

MATHEMATICAL MODEL OF THE RHEOLOGICAL BEHAVIOR OF VISCOPLASTIC FLUID, WHICH DEMONSTRATES THE EFFECT OF “SOLIDIFICATION”

https://doi.org/10.20914/2310-1202-2014-2-55-58

Abstract

Summary. The irregular behavior of some kinds of suspensions on the basis of polymeric compositions and fine-dispersed fractions is characterized. As a simple, one-dimensional, shearing, viscometric flow such materials demonstrate the following mechanical behavior. There is no deformation if the shear stress does not exceed a certain critical value. If this critical value is exceeded, the flow is begins. This behavior is well-known and corresponds to the rheological models of viscoplastic fluid. However, further increase in the shear rate results in “solidification”. The rheological model of such viscoplastic fluids, mechanical behavior demonstrating the “solidification” effect is offered . This model contains four empirical parameters. The impact of the exponent on the dependence of the shearing stress and effective viscosity on the shear rate in the rheological model is graphically presented. The rheological model extrapolation on the three-dimensional flow is proposed.

About the Author

V. N. Kolodezhnov
Voronezh state university of engineering technology
Russian Federation
Professor
Department of physics
phone 8-910 -249 32-58


References

1. Климов Д.М., Петров А.Г., Георгиевский Д.В. Вязкопластические течения: динамический хаос, устойчивость, перемешивание. М.: Наука, 2005. 394 с. Klimov D.M., Petrov A.G., Georgievskii D.V. Viazkoplasticheskie techeniia: dinamicheskii khaos, ustoichivost’, peremeshivanie [Viscoplastic flow: dynamic chaos, stability and mixing]. Moscow, Nauka, 2005. 394 p. (In Russ.).

2. Wagner N., Brady J. F. Shear thickening in colloidal dispersions // Physics Today. 2009. V. 62 (10). P. 27–32. Wagner N., Brady J. F. Shear thickening in colloidal dispersions. [Physics Today], 2009, vol. 62 (10), pp. 27–32.

3. Galindo-Rosales F.J., Rubio-Hern´andez F.J., Vel´azquez-Navarro J.F. Shear-thickening behavior of Aerosil R816 nanoparticles suspensions in polar organic liquids. // Rheologica Acta. 2009. V. 48. P. 699–708. Galindo-Rosales F.J., Rubio-Hern´andez F.J., Vel´azquez-Navarro J.F. Shear-thickening behavior of Aerosil R816 nanoparticles suspensions in polar organic liquids. [Rheologica Acta], 2009, vol. 48, pp. 699–708.

4. Колодежнов В.Н. Течение в плоском канале дилатантной жидкости с эффектом “отвердевания” // Обозрение прикладной и промышленной математики. 2010. Т. 17. № 3. С. 422. Kolodezhnov V.N. Flow in a plane channel of dilatant fluid with the effect of “solidification”. Obozrenie prikladnoi i promyshlennoi matematiki. [Review of applied and industrial mathematics], 2010, vol.17, no 3, pp. 422. (In Russ.)

5. D3O — материал из будущего! [Электронный ресурс] Режим доступа: https://qwintry.com/ru/articles/d3o-material-izbudushchego ( 19 февраля.2014). D3O - material iz budushchego! [D3O – material from the future]. Available at: https://qwintry.com/ru/articles/d3o-material-iz-budushchego (Accessed 19 February 2014). (In Russ.).

6. Колодежнов В.Н. Механический аналог реологических моделей, демонстрирующих проявление эффекта “отвердевания” // Вестник ВГУИТ. 2012. № 4. С. 51-53 Kolodezhnov V.N. Mechanical analogue of rheological models, demonstrating the effect of “solidification”. Vestnik VGUIT. [Bulletin of VSUET], 2012, no. 4, pp. 51-53. (In Russ.)


Review

For citations:


Kolodezhnov V.N. MATHEMATICAL MODEL OF THE RHEOLOGICAL BEHAVIOR OF VISCOPLASTIC FLUID, WHICH DEMONSTRATES THE EFFECT OF “SOLIDIFICATION”. Proceedings of the Voronezh State University of Engineering Technologies. 2014;(2):55-58. (In Russ.) https://doi.org/10.20914/2310-1202-2014-2-55-58

Views: 474


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)