On the use of lattice Boltzmann model for simulating dean flow of non-Newtonian fluids in curved square ducts |
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Authors: | Ali Salehi-Shabestari Kayvan Sadeghy Mehrdad Raisee |
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Affiliation: | 1. Department of Chemical Engineering, School of Chemical and Petroleum Engineering, Shiraz University, Shiraz 71345, Iran;2. School of Earth Sciences, The Ohio State University, Columbus, OH, USA;3. Young Researchers and Elites Club, Kerman Branch, Islamic Azad University, Kerman, Iran;4. School of Mechanical Engineering, Shiraz University, Shiraz, Iran |
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Abstract: | In the present work, the effect of a fluid’s shear-thinning and extension-hardening behavior is investigated on its flow characteristics in a typical curved square duct using a three-dimensional 27-velocities (D3Q27) incompressible lattice Boltzmann model. The main objective of the work is to examine how a fluid’s non-Newtonian viscous behavior affects the onset of Dean instability (i.e., the sudden shift from a two-cell to a four-cell vortex structure) in a curved square duct. The fluid of interest is assumed to obey Pinho’s rheological model in which shear-thinning and extension-hardening are both represented by a single power-law equation. It is found that shear-thinning has a stabilizing effect on the flow. On the other hand, extension-hardening is found to destabilize the flow. |
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