Abstract
Mean secondary flows in straight tubes of non-circular cross section turbulent driven of Newtonian fluids by constant pressure gradients are discussed in their historical context as well as in terms of the most recent findings. The fundamental issues and their impact on industrial processes, in particular on processes involving particle laden flows are reviewed. Similarities with the driving mechanism of secondary laminar flows of viscoelastic fluids, criteria for the existence of secondary flows, and general classification and closure approximations for homogeneous and wall-bounded flows are discussed.
The rheology of dilute, semi-dilute, and concentrated non-Brownian suspensions is reviewed. Computing shear viscosity in different concentration regimes and recent progress in determining the normal stress functions of semi-dilute and concentrated non-colloidal suspensions are summarized. Macroscopic constitutive models for suspension flow, shear-induced and stress-induced particle migration, applications to Stokesian dynamics simulations (SDS), and efforts to improve the predictions through SDS both in unbounded and bounded flows are discussed together with challenges in shear-driven migration of non-colloidal concentrated suspensions. The complex nature and sometimes contradictory behavior reported in the literature make it challenging to construct a theoretical model. Efforts to understand the motion of particles in viscoelastic suspending media are summarized and recent research on secondary field in Poiseuille flow of shear-driven migration of suspensions is discussed together with secondary field in single-phase and multiphase turbulent flow of suspensions in tubes.
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Siginer, D.A. (2015). Transversal Flow Field of Particle-Laden Linear Fluids. In: Developments in the Flow of Complex Fluids in Tubes. Springer, Cham. https://doi.org/10.1007/978-3-319-02426-4_6
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