Isothermal laminar flow of non-newtonian fluid with yield stress in a pipe
Bekibayev T. Ramazanova G. Bossinov D. Noorazlan M.
2026Institute of Metallurgy and Ore Beneficiation JSC
Kompleksnoe Ispolzovanie Mineralnogo Syra
2026#336Issue 139 - 47 pp.
This paper considers the development of an isothermal laminar flow of viscoplastic fluid with yield stress in a pipe. A characteristic feature of such a flow is the formation of a non-deformable region in which the fluid behaves like a solid. This phenomenon significantly complicates the numerical solution of the equations of viscoplastic fluid flow, since traditional methods cannot adequately describe the behavior of the fluid in this region. The novelty of this work resides in the application of the effective molecular viscosity methodology and the Bingham-Papanastasiou model, which made it possible to perform an end-to-end calculation of the isothermal flow taking into account the non-deformable region. In the course of the calculations, the velocity and pressure distributions were derived for Reynolds numbers from 71.2 to 740.8 and Bingham numbers in the range from 1.225 to 17.01. An increase in the Reynolds number to Re = 740.8 and a decrease in the Bingham number to Bn = 1.225 lead to a reduction in the region with maximum velocities and a change in the input axial velocity distribution. The radial profiles of the axial velocity remain the same in all cross-sections from z/R = 10 to z/R = 40, which indicates the establishment of a steady-state flow regime of viscoplastic fluid, in which a constant velocity core is formed in the cross-section of the pipe.
bingham-papanastasiou model , effective molecular viscosity approach , viscoplastic fluid flow , yield stress
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laboratory Modeling in Energy, Satbayev University, Almaty, Kazakhstan
Faculty of Science and Mathematics, University Pendidikan Sultan Idris, Tanjung Malim, Malaysia
laboratory Modeling in Energy
Faculty of Science and Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026