MODELING OF THE FLOW OF NON-NEWTONIAN FLUIDS USING THE SUPERPOSITION METHOD
DOI:
https://doi.org/10.15421/jchemtech.v33i2.321011Keywords:
flow, non-Newtonian fluid, channel, rheology, simulation.Abstract
This paper addresses the challenges of simulating viscoplastic longitudinal and cross-sectional flows of non-Newtonian fluids. A superposition method is proposed to construct higher-dimensional flow fields from lower-dimensional ones, accommodating varying boundary conditions and pressure-dependent rheological parameters. The study details theoretical approaches for modeling non-Newtonian fluid flows in channels with diverse geometries, including moving boundaries and pressure drops at channel edges, considering the functional relationships between key process parameters. It is demonstrated that both longitudinal and cross-sectional flows can be represented as a combination of one-dimensional longitudinal flows of the same type, enabling the description of three-dimensional isothermal flows in rectangular channels and two-dimensional flows in flat channels with varying aspect ratios. The resulting theoretical two- and three-dimensional models of viscous flows in basic channel geometries facilitates the investigation of fundamental process regularities and the determination of optimal macro-kinetic and macro-dynamic flow characteristics for non-Newtonian materials, ultimately aiming to reduce energy consumption and material usage in food processing equipment.
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