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An impact of thermal boundary conditions on characteristics of a non-Newtonian fluid flowing through a sudden pipe contraction

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Thermophysics and Aeromechanics Aims and scope

Abstract

A physical-mathematical model of a laminar axisymmetric flow of a power-law fluid through a sudden pipe contraction under non-isothermal conditions is presented with allowance for dissipative effects. The rheology of the liquid medium is determined by the Ostwald — de Waele law. The apparent viscosity is specified as a temperature-dependent function. Two options for setting the temperature boundary conditions on a solid wall are considered: the first implies invariable temperature along the pipe wall; and the second assumes a constant temperature value on the wall except for the area in the contraction plane vicinity, where the boundary is exposed to a zero-heat flux. The process is studied numerically using the finite-difference method. The main characteristics of the flow are calculated and visualized. The effect of thermal boundary conditions on the fluid flow structure and local pressure losses is analyzed.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    K. E. Ryltseva & G. R. Shrager

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  1. K. E. Ryltseva
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  2. G. R. Shrager
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Correspondence to K. E. Ryltseva.

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The research was financially supported by the Russian Science Foundation (Project No. 18-19-00021-Π).

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Ryltseva, K.E., Shrager, G.R. An impact of thermal boundary conditions on characteristics of a non-Newtonian fluid flowing through a sudden pipe contraction. Thermophys. Aeromech. 29, 217–227 (2022). https://doi.org/10.1134/S086986432202007X

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  • DOI: https://doi.org/10.1134/S086986432202007X

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