Bulletin of the American Physical Society
65th Annual Meeting of the APS Division of Fluid Dynamics
Volume 57, Number 17
Sunday–Tuesday, November 18–20, 2012; San Diego, California
Session E29: Porous Media Flows III |
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Chair: Marcus Roper, University of California, Los Angeles Room: 32B |
Sunday, November 18, 2012 4:45PM - 4:58PM |
E29.00001: Film formation in a vertical Hele-Shaw cell Thomas Ward, Eric Finley, Deon Wilkins, Michael Sullivan A Hele-Shaw cell containing silicone oil is initially displaced in the vertical direction using electrical forces and capillary pressure. Once the equilibrium height is reached, electrical actuation is halted and the system moves to a new equilibrium height based on capillary and hydrostatic forces. Here, the focus is on film formation from the oil to the boundary walls of the Hele-Shaw cell. A theoretical model is used to predict silicone oil/air interface speed. The theory is also compared with experimental data. The resulting differences between predicted equilibrium heights based on theory and actual experimental equilibrium heights are used to predict the thickness of any resulting oil film on the walls which increases the capillary pressure. Plate separation distances of 300, 500, and 750 micrometers are used with silicone oil viscosities of 10, 100 and 1000 cSt to determine the effect of these parameters on film formation. A variety of initial heights are also used to determine how the initial rise height affects film formation as well. By varying these parameters, a wide range of Reynolds and capillary numbers are examined and their corresponding effect on film formation is determined. [Preview Abstract] |
Sunday, November 18, 2012 4:58PM - 5:11PM |
E29.00002: Pattern formation in poroelastic systems Christopher MacMinn, John Wettlaufer, Eric Dufresne Poroelastic effects, where fluid flow through a porous solid is coupled to elastic deformation of the solid, play an important role in many natural and engineering systems. Due to the highly nonlinear nature of the fluid-solid coupling in these systems, instability-driven pattern formation is both likely and very poorly understood. Here, we use laboratory experiments to explore pattern formation in a model poroelastic system. We study the paradigmatic problem of fluid injection into a quasi-two-dimensional porous medium, and we show that poroelasticity results in a nonlocal coupling between the fluid and the solid that drives pattern formation in even relatively simple fluid flows. [Preview Abstract] |
Sunday, November 18, 2012 5:11PM - 5:24PM |
E29.00003: Inertial flow on micropatterned surfaces: Modeling polygonal water bells Emilie Dressaire, Laurent Courbin, Adrian Delancy, Marcus Roper, Howard Stone Regularly micropatterned substrates are commonly used to study complex phenomena such as spreading and splashing. We have used a well characterized hydrodynamic object, a water bell to characterize the flow on such rough surfaces. In the water bell configuration, the thin liquid film and the solid surface interact over a short lengthscale and viscous effects are negligible. We develop a simple model that shows the role of hydrodynamic interactions in the networks of microposts. We are able to predict the shape of the polygonal water bells. By considering the flow in the rim, we also identify preferred sites of droplet emissions. [Preview Abstract] |
Sunday, November 18, 2012 5:24PM - 5:37PM |
E29.00004: Universality Results for Multi-Layer Hele-Shaw and Porous Media Flows Prabir Daripa Saffman-Taylor instability is a well known viscosity driven instability of an interface. Motivated by a need to understand the effect of various injection policies currently in practice for chemical enhanced oil recovery, we study linear stability of displacement processes in a Hele-Shaw cell involving injection of an arbitrary number of immiscible fluid phases in succession. This is a problem involving many interfaces. Universal stability results have been obtained for this multi-layer (multi-region) flow in the sense that the results hold with arbitrary number of interfaces. These stability results have been applied to design injection policies that are considerably less unstable than the pure Saffman-Taylor case. In particular, we determine specific values of the viscosity of the fluid layers corresponding to smallest unstable band. Moreover, we discuss universal selection principle of optimal viscous profiles. The talk is based on following papers.\newline P. Daripa and X. Ding, ``Universal Stability Properties for Multi-Layer Hele-Shaw Flows and Application to Instability Control,'' SIAM J. Appl. Math., To Appear.\newline P. Daripa and X. Ding, ``Selection principle of optimal profilesfor Multi-Layer flows,'' Trans. Porous Media, To Appear. [Preview Abstract] |
Sunday, November 18, 2012 5:37PM - 5:50PM |
E29.00005: ABSTRACT WITHDRAWN |
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