Open AccessSHVEDOV-BINGHAM MODEL OF STEADY FLOW OF VISCO-PLASTIC BITUMEN BINDER IN CYLINDRICAL TUBE
Author(s) -
О. В. Матвиенко,
В. П. Базуев,
Н. Р. Сабылина,
А. Е. Асеева,
А. А. Суртаева
Publication year - 2019
Publication title -
vestnik tomskogo gosudarstvennogo arhitekturno-stroitelʹnogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2310-0044
pISSN - 1607-1859
DOI - 10.31675/1607-1859-2019-21-3-158-177
Subject(s) - materials science , newtonian fluid , viscosity , pressure drop , bingham plastic , mechanics , tube (container) , flow (mathematics) , rheology , volumetric flow rate , viscoelasticity , non newtonian fluid , composite material , physics
This paper studies the bitumen binder flow in terms of the Shvedov-Bingham model in a cylindrical tube. The dependence of the fluid flow rate on pressure drop is determined as well as the dependences between the radial velocity distribution and effective flow viscosity. Near the wall, the effective viscosity is low. However, in the vicinity of the rigid zone, a significant increase in the effective viscosity is observed. With increasing strain rates the effective viscosity decreases, which is explained by the destruction of the medium microstructure. With the pressure drop, the size of the hard zone decreases. With the increasing yield stress the fluid becomes less mobile, the rigid zone in the centre of the pipe increases in size. In this case, the velocity values decrease over the entire pipe section. Variation in the plastic viscosity does not affect the position of the rigid zone. It is shown that when the Bingam number Bn < 0.1, the non-Newtonian properties of the flow can be ignored. In this case, the Newtonian flow with viscosity mpl should be considered with an accuracy sufficient for engineering calculations.