Topic
Hele-Shaw flow
About: Hele-Shaw flow is a research topic. Over the lifetime, 5451 publications have been published within this topic receiving 151320 citations.
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TL;DR: In this article, a general formulation for incompressible fluid flow analysis using the finite element method is presented, which allows to model a wide range of fluid flow problems for low and high Reynolds numbers flows without introducing a turbulence model.
Abstract: We present a general formulation for incompressible fluid flow analysis using the finite element method. The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the Finite Calculus method using a matrix form of the stabilization parameters. This allows to model a wide range of fluid flow problems for low and high Reynolds numbers flows without introducing a turbulence model. Examples of application to the analysis of incompressible flows with moderate and large Reynolds numbers are presented.
48 citations
01 Jan 2001
TL;DR: Detached-Eddy Simulation (DES) is used to predict the massively separated flow around a forebody cross section as mentioned in this paper, where the configuration is the flow at 10° angle of attack over a rounded-corner square.
Abstract: Detached-Eddy Simulation (DES) is used to predict the massively separated flow around a forebody cross section The configuration is the flow at 10° angle of attack over a rounded-corner square The spanwise coordinate of the flow is statistically homogeneous with periodic end conditions employed in the calculations Simulations are performed at sub- and super-critical Reynolds numbers for which experimental measurements show a reversal of the lateral (side) force acting on the body DES predictions are evaluated using experimental measurements and unsteady Reynolds-averaged Navier-Stokes (URANS) results for a modest range of grid refinement, in calculations with a doubling of the spanwise period, and using simulations performed without an explicit turbulence model
47 citations
TL;DR: Experimental data indicate that the characteristic length for the initial breakup of a flat interface has been changed by the perturbation of the Saffman-Taylor flow problem.
Abstract: A controlled perturbation is introduced into the Saffman-Taylor flow problem by adding a gradient to the gap of a Hele-Shaw cell. The stability of the single-finger steady state was found to be strongly affected by such a perturbation. Compared with patterns in a standard Hele-Shaw cell, the single Saffman-Taylor finger was stabilized or destabilized according to the sign of the gap gradient. While a linear stability analysis shows that this perturbation should have a negligible effect on the early-stage pattern formation, the experimental data indicate that the characteristic length for the initial breakup of a flat interface has been changed by the perturbation.
47 citations
TL;DR: In this paper, an experimental flow visualization study of the entrance section of channels formed with sinusoidal plates was made and the experiments were conducted in a water tunnel and a laser illuminated particle tracking was used as the technique of flow visualization.
47 citations
01 Jan 1993
TL;DR: In this article, it was shown that the ideas of selective amplification and direct resonance, based on linear theory, do not provide a selection mechanism for the well-defined streak spacing of about 100 wall units (referred to as 100+ hereafter) observed in wall-bounded turbulent shear flows.
Abstract: It is shown that the ideas of selective amplification and direct resonance, based on linear theory, do not provide a selection mechanism for the well-defined streak spacing of about 100 wall units (referred to as 100+ hereafter) observed in wall-bounded turbulent shear flows. For the direct resonance theory (Benney & Gustaysson, 1981; fang et al., 1986), it is shown that the streaks are created by the nonlinear self-interaction of the vertical velocity rather than of the directly forced vertical vorticity. It is then proposed that the selection mechanism must be inherently nonlinear and correspond to a self-sustaining process. The streak formation is only one stage of the complete mechanism and cannot be isolated from the rest of the process. The 100+ value should be considered as a critical Reynolds number for that self-sustaining mechanism. For the case of plane Poiseuille flow the 100+ criterion corresponds to a critical Reynolds number of 1250, based on the centerline velocity and the channel half-width, which is close to the usually quoted value of about 1000. In plane Couette flow, it corresponds to a critical Reynolds number of 625, based on the half velocity difference and the half-width.
47 citations