A numerical study of the effect of nonisothermality on the power-law fluid flow characteristics in a sudden pipe expansion | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2022. № 79. DOI: 10.17223/19988621/79/11

A numerical study of the effect of nonisothermality on the power-law fluid flow characteristics in a sudden pipe expansion

In this paper, a steady laminar non-isothermal flow of a power-law fluid in an axisymmetric sudden pipe expansion is numerically simulated. The rheological behavior of the fluid is described by the modified Ostwald-de Waele law; the apparent viscosity is an exponential function of temperature. The equations are written in terms of dimensionless stream function - vortex - temperature. No-slip conditions and zero temperature are used on the solid wall. At the inlet boundary, the velocity and temperature profiles correspond to a one-dimensional steady non-isothermal flow of the considered fluid. “Soft” boundary conditions are assigned at the outlet boundary. The formulated problem is solved using the finite-difference method. The structure of the flow through a sudden pipe expansion is shown to include one- and two-dimensional flow zones with a recirculation region occurring in the inner corner vicinity. The variation in the two-dimensional flow zone length is analyzed with respect to a power-law index and dimensionless criteria of the problem. Distributions of the velocity, temperature, and apparent viscosity are presented at various Peclet and Reynolds numbers for dilatant and pseudoplastic fluids.

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Keywords

non-isothermal flow, Ostwald-de Waale model, power-law fluid, axisymmetric flow, expansion, circulation zone, Reynolds number, Peclet number

Authors

Name	Organization	E-mail
Mamazova Dilara A.	Tomsk State University	mamazova.dilara@mail.ru
Ryltseva Kira E.	Tomsk State University	kiraworkst@gmail.com
Shrager Gennady R.	Tomsk State University	shg@ftf.tsu.ru

Всего: 3

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