Mathematical simulation of nonisothermal filling of plane channel with non-Newtonian fluid

All-Russian Conference with the School for Young Scientists “Thermophysics and Physical Hydrodynamics –2016”

Borzenko, E.^1 ; Ryltseva, K.^1 ; Frolov, O.^1 ; Shrager, G.^1

Tomsk State University, Tomsk, Russia^1

关键词: Dissipative heating;    Mathematical simulations;    Natural boundary condition;    Non-Newtonian fluids;    Onedimensional flow;    Rheological parameter;    Temperature dependence;    Two-dimensional flow;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/754/2/022002/pdf
DOI  :  10.1088/1742-6596/754/2/022002

来源: IOP

【 摘 要 】

In this paper, the fountain flow of a non-Newtonian fluid during the filling of a plane vertical channel with due account of dissipative heating is investigated. The rheological features of the medium are defined by Ostwald de Waele power-law with exponential temperature dependence of viscosity. The numerical solution of the problem is obtained using a finite-difference method, based on the SIMPLE algorithm, and the method of invariants for compliance with the natural boundary conditions on free surface. It was shown that the flow separates into a two-dimensional flow zone in the vicinity of the free surface and a onedimensional flow zone away from it. The parametrical investigations of kinematic and thermophysical properties of the flow and the dependence of the free surface behavior on the basic criteria and rheological parameters are implemented.