Torsional parallel plate flow of Herschel-Bulkley fluids with wall slip

2024/03/16 by Evgenios Gryparis, Gryparis, Evgenios, Georgios C. Georgiou +1
Chemical Engineering · Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies #Soft Condensed Matter (cond-mat.soft)

paper · pdf · doi:10.48550/arxiv.2403.14700

openalex publication_date 2024/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The effect of wall slip on the apparent flow curves of viscoplastic materials obtained using torsional parallel plate rheometers is analysed by considering Herschel-Bulkley fluids and assuming that slip occurs above a critical wall shear stress, the slip yield stress τ_c, taken to be lower than the yield stress, τ₀. Thus, different flow regimes are encountered as the angular velocity of the experiment is increased. When the rim shear stress τ_R is below the slip yield stress, the exerted torque is not sufficient to rotate the disk and the material remains still. When τ_c<τ_R<τ₀ the material is still unyielded but exhibits wall slip and rotates as a solid at half the angular velocity of the rotating disk. Finally, when τ_R>τ₀, the material exhibits slip everywhere and yields only in the annulus r₀

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