Elastoviscoplastic flows in porous media

Vita, Francesco De; Rosti, Marco E.; Izbassarov, Daulet; Duffo, L.; Tammisola, Outi; Hormozi, Sarah; Brandt, Luca

doi:10.1016/j.jnnfm.2018.04.006

Cited by 34 publications

(29 citation statements)

References 71 publications

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“…Equation (3.3) clearly recovers the Newtonian analytical solution for Bi = 0, and provides an error below 2% for all the elastoviscoplastic results. It is worth noticing, that an analogous expression was found by De Vita et al (2018) for the flow of an elastoviscoplastic fluid through a porous media, with the same dependency on Re b and Bi.…”

Section: Laminar Flowsupporting

confidence: 67%

Turbulent channel flow of an elastoviscoplastic fluid

et al. 2018

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We present numerical simulations of laminar and turbulent channel flow of an elastoviscoplastic fluid. The non-Newtonian flow is simulated by solving the full incompressible Navier-Stokes equations coupled with the evolution equation for the elastoviscoplastic stress tensor. The laminar simulations are carried out for a wide range of Reynolds numbers, Bingham numbers and ratios of the fluid and total viscosity, while the turbulent flow simulations are performed at a fixed bulk Reynolds number equal to 2800 and weak elasticity. We show that in the laminar flow regime the friction factor increases monotonically with the Bingham number (yield stress) and decreases with the viscosity ratio, while in the turbulent regime the the friction factor is almost independent of the viscosity ratio and decreases with the Bingham number, until the flow eventually returns to a fully laminar condition for large enough yield stresses. Three main regimes are found in the turbulent case, depending on the Bingham number: for low values, the friction Reynolds number and the turbulent flow statistics only slightly differ from those of a Newtonian fluid; for intermediate values of the Bingham number, the fluctuations increase and the inertial equilibrium range is lost. Finally, for higher values the flow completely laminarises. These different behaviors are associated with a progressive increases of the volume where the fluid is not yielded, growing from the centerline towards the walls as the Bingham number increases. The unyielded region interacts with the near-wall structures, forming preferentially above the high speed streaks. In particular, the near-wall streaks and the associated quasi-streamwise vortices are strongly enhanced in an highly elastoviscoplastic fluid and the flow becomes more correlated in the streamwise direction.

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Section: Laminar Flowsupporting

confidence: 67%

Turbulent channel flow of an elastoviscoplastic fluid

et al. 2018

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“…Note that, the flow configuration and domain are the same used by Min et al (2001). Figure 3 highly dissipating schemes or with the inclusion of artificial numerical dissipation; in our simulation, we use the high-order WENO scheme for the advection of the conformation tensor and neglect any artificial dissipation, and we find good agreement of the deformation time history over the whole vortex merging process (Rosti & Brandt 2017;De Vita et al 2018;Rosti et al 2018c;Izbassarov et al 2018).…”

Section: Code Validationmentioning

confidence: 72%

Turbulent duct flow with polymers

et al. 2018

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We have performed direct numerical simulation of the turbulent flow of a polymer solution in a square duct, with the FENE-P model used to simulate the presence of polymers. First, a simulation at a fixed moderate Reynolds number is performed and its results compared with those of a Newtonian fluid to understand the mechanism of drag reduction and how the secondary motion, typical of the turbulent flow in non-axisymmetric ducts, is affected by polymer additives. Our study shows that the Prandtl's secondary flow is modified by the polymers: the circulation of the streamwise main vortices increases and the location of the maximum vorticity move towards the center of the duct. In-plane fluctuations are reduced while the streamwise ones are enhanced in the center of the duct and dumped in the corners due to a substantial modification of the quasi-streamwise vortices and the associated near-wall low-and high-speed streaks; these grow in size and depart from the walls, their streamwise coherency increasing. Finally, we investigated the effect of the parameters defining the viscoelastic behavior of the flow and found that the Weissenberg number strongly influences the flow, with the cross-stream vortical structures growing in size and the in-plane velocity fluctuations reducing for increasing flow elasticity. † Email address for correspondence: merosti@mech.kth.se arXiv:1810.06364v1 [physics.flu-dyn]

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“…The effects of moderate and high inertia were also investigated in viscoelastic fluid flows through the arrays of cylinders [33,45]. In this paper, we address the yield-stress fluid flows in porous media to continue and connect to the findings of our previous study [16].…”

Section: Introductionmentioning

confidence: 85%

“…Porous media exhibit inhomogeneity due to the randomness of their structure. However, a common way is to model the medium as arrays of cylinders [16,17,29]. In the present study, two model geometries of 2D porous media are considered as illustrated in Fig.…”

Section: Problem Statementmentioning

confidence: 99%

Yield-stress fluids in porous media: a comparison of viscoplastic and elastoviscoplastic flows

et al. 2019

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A numerical and theoretical study of yieldstress fluid flows in two types of model porous media is presented. We focus on viscoplastic and elastoviscoplastic flows to reveal some differences and similarities between these two classes of flows. Small elastic effects increase the pressure drop and also the size of unyielded regions in the flow which is the consequence of different stress solutions compare to viscoplastic flows. Yet, the velocity fields in the viscoplastic and elastoviscoplastic flows are comparable for small elastic effects. By increasing the yield stress, the difference in the pressure drops between the two classes of flows becomes smaller and smaller for both considered geometries. When the elastic effects increase, the elastoviscoplastic flow becomes timedependent and some oscillations in the flow can be observed. Focusing on the regime of very large yield stress effects in the viscoplastic flow, we address in detail the interesting limit of 'flow/no flow': yieldstress fluids can resist small imposed pressure gradients and remain quiescent. The critical pressure gradient which should be exceeded to guarantee a continuous flow in the porous media will be reported. Finally, we propose a theoretical framework for studying the 'yield limit' in the porous media.

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Elastoviscoplastic flows in porous media

Cited by 34 publications

References 71 publications

Turbulent channel flow of an elastoviscoplastic fluid

Turbulent channel flow of an elastoviscoplastic fluid

Turbulent duct flow with polymers

Yield-stress fluids in porous media: a comparison of viscoplastic and elastoviscoplastic flows

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