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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: Using these two flow arrangements the amount of stretch and compression near the stagnation point can be varied, providing further insights on the viscoelastic flow instability mechanisms in extensionally dominated flows with an interior stagnation point.
Abstract: Creeping and low Reynolds number flows of an upper-convected Maxwell (UCM) fluid are investigated numerically in a three-dimensional orthogonal cross-slot geometry. We analyze two different flow configurations corresponding to uniaxial extension and biaxial extension, and assess the effects of extensional flow type, Deborah and Reynolds numbers on flow dynamics near the interior stagnation point. Using these two flow arrangements the amount of stretch and compression near the stagnation point can be varied, providing further insights on the viscoelastic flow instability mechanisms in extensionally dominated flows with an interior stagnation point. The uniaxial extensional flow arrangement leads to the onset of a steady flow asymmetry, followed by a second purely elastic flow instability that generates an unsteady flow at higher flow rates. On the other hand, for the biaxial extension flow configuration a symmetric flow is observed up to the critical Deborah number when the time-dependent purely elastic instability sets in, without going through the steady symmetric to steady asymmetric transition.

42 citations

Journal ArticleDOI
TL;DR: In this paper, the effect of arbitrary magnetic Reynolds number on steady flow of an incompressible conducting viscous liquid in convergent-divergent channels under the influence of an externally applied homogeneous magnetic field was investigated.
Abstract: – The objective of the present study is to investigate the effect of arbitrary magnetic Reynolds number on steady flow of an incompressible conducting viscous liquid in convergent‐divergent channels under the influence of an externally applied homogeneous magnetic field., – The solution of the non‐linear 2D Navier‐Stokes equations modeling the flow field is obtained using a perturbation technique coupled with a special type of Hermite‐Pade approximation method implemented numerically on MAPLE and a bifurcation study is performed., – The results show that increasing values of magnetic Reynolds number causes a general decrease in the fluid velocity around the central region of the channel. The flow reversal control is also observed by increasing magnetic field intensity. The bifurcation study reveals the solution branches and turning points., – The reported results are very useful in the field of engineering flow control and industrial metal casting for the control of molten metal flows., – Effect of arbitrary magnetic Reynolds on the overall flow structure in converging‐diverging channels are presented and studied using a newly developed numerical approach.

41 citations

Journal ArticleDOI
TL;DR: In this article, the effect of non-linear flows on the results of constant pressure well tests in single fractures was investigated and a multistage steady flow test using as few as three pressure steps can be used to determine the extent of turbulent flow as well as fracture aperture, roughness, and, under some conditions, the distance to a constant pressure boundary.

41 citations

Journal ArticleDOI
TL;DR: In this paper, an experimental study is described which seeks to assess the effect of elasticity on the flow of elastico-viscous liquids as they are made to flow through curved pipes under a pressure gradient.
Abstract: An experimental study is described which seeks to assess the effect of elasticity on the flow of elastico-viscous liquids as they are made to flow through curved pipes under a pressure gradient. Wherever possible, the experimental results are discussed in the light of existing theoretical predictions and good agreement between theory and experiment for viscous and elastico-viscous liquids is indicated. The general flow pattern for elastico-viscous liquids is shown to be similar to that for Newtonian liquids consisting of two spirals separated by the central plane. Elasticity has a significant effect on the pitch of these spirals. The flow rate in the case of laminar flow and in the transition region between laminar and turbulent flow is significantly enhanced by the presence of elasticity in the liquids, but the opposite is the case in turbulent flow at high Reynolds numbers. Many materials of industrial importance can be classified as elastico-viscous liquids in the sense that they flow under the action of applied stresses and yet have some of the properties usually associated with solids. In technological processes, these elastico-viscous liquids are often pumped through pipes which are usually straight but are sometimes curved. It is therefore of some practical importance to study the behaviour of elastico-viscous liquids as they are made to flow through straight and curved pipes under the action of a pressure gradient. The flow of viscous and elastico-viscous liquids through straight pipes is well documented, but very little consideration appears to have been given to the flow of elastico-viscous liquids through curved pipes. In the present paper, we shall indicate the various interesting features which have arisen from an experimental study of the flow of elastico-viscous liquids through straight and curved pipes of circular cross-section. Our work has been primarily motivated by technological requirements, but it may have applications in other spheres. For example, it may throw light on the flow of blood in the larger capillaries, since it is known that whole blood is non-Newtonian in its behaviour.

41 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202339
202282
202120
202013
20199
201829