RANS modeling of turbulent flow and heat transfer of non-Newtonian viscoplastic fluid in a pipe
Pakhomov M.A. Zhapbasbayev U.K.
December 2021Elsevier Ltd
Case Studies in Thermal Engineering
2021#28
A mathematical model of the movement and heat transfer of a turbulent non-isothermal non-Newtonian fluid through a pipe wall with a cold surrounding space has been developed and simulated numerically. Fluid turbulence is described in the framework of the isotropic two-parameter k– ε˜ model. The Newtonian properties of the fluid in the initial cross-sections of the pipe transformed gradually into a viscoplastic non-Newtonian Bingham-Schwedoff fluid state due to heat transfer through the pipe wall between the heated fluid and a cold environment. The value of its streamwise velocity in the axial zone increased significantly when the fluid moved along the pipe. On the contrary, it decreased in the near-wall zone and the height of the region with a zero fluid velocity increased. This occurred due to the viscoplastic properties of a non-Newtonian fluid. The height of the region with a zero fluid velocity in the pipe increased gradually as the non-Newtonian fluid (waxy crude oil) moved through the pipe. A noticeable increase in the level of turbulent kinetic energy in the axial zone of the pipe and its noticeable decrease in its near-wall region were observed. A significant increase in the average dynamic viscosity and yield stress in the near-wall part of the pipe was shown. The boundary of the area of existence of Newtonian properties of fluid was determined. The height of the region with a zero fluid velocity in the pipe increased gradually as waxy crude oil moved through the pipe and reached y/R ≈ 0.1 at x/D = 15.
Bingham-schwedoff fluid , Heat transfer , Non-Newtonian fluid , RANS , Viscoplastic turbulent flow
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Laboratory of Thermal and Gas Dynamics, Kutateladze Institute of Thermophysics, Siberian Branch of the Russian Academy of Science, Lavrentev AveNovosibirsk, Novosibirsk, 630090, Russian Federation
K.I. Satbayev Kazakh National Research Technical University, Satpaev Str, 22a, Almaty, 050013, Kazakhstan
Laboratory of Thermal and Gas Dynamics
K.I. Satbayev Kazakh National Research Technical University
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