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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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Journal ArticleDOI
TL;DR: In this article, the velocity of an incompressible fluid between two parallel lel plates, initially induced by a constant pressure gradient, is studied in the context of a couple stress flui d.
Abstract: Consider the flow of an incompressible fluid between two paral lel plates, initially induced by a constant pressure gradient. After st eady state is attained, the pressure gradient is suddenly with drawn while the plates are impulsively started simultaneously. The arising flow is referred to as run up flow a nd the present paper aims at studying this flow in the context of a couple stress flui d. Using Laplace transform technique, the expression for velocity is obtained in Lapla ce transform domain which is later inverted to the space time domain using a numerical approach. The variation of velocity with respect to various flow parameters is presente d through graphs.

43 citations

Journal ArticleDOI
TL;DR: In this paper, a substructure approach with free-free interface condition is formulated to investigate the power flow characteristics of an L-shaped plate, which is achieved by complementing the normal dynamic equations with geometric compatibility equations allowing the assessment of power flow dynamic characteristics applied to and excited within the system.

43 citations

Journal ArticleDOI
TL;DR: In this article, a generalization of the single-phase flow Darcy's law with the apparent permeability concept was proposed to measure injected fluid flow rates, pressure drop within the fracture, and fluid saturation.
Abstract: While it is generally assumed that in the viscous flow regime, the two-phase flow relative permeabilities in fractured and porous media depend uniquely on the phase saturations, several studies have shown that for non-Darcian flows (i.e., where the inertial forces are not negligible compared with the viscous forces), the relative permeabilities not only depend on phase saturations but also on the flow regime. Experimental results on inertial single- and two-phase flows in two transparent replicas of real rough fractures are presented and modeled combining a generalization of the single-phase flow Darcy’s law with the apparent permeability concept. The experimental setup was designed to measure injected fluid flow rates, pressure drop within the fracture, and fluid saturation by image processing. For both fractures, single-phase flow experiments were modeled by means of the full cubic inertial law which allowed the determination of the intrinsic hydrodynamic parameters. Using these parameters, the apparent permeability of each fracture was calculated as a function of the Reynolds number, leading to an elegant means to compare the two fractures in terms of hydraulic behavior versus flow regime. Also, a method for determining the experimental transition flow rate between the weak inertia and the strong inertia flow regimes is proposed. Two-phase flow experiments consisted in measuring the pressure drop and the fluid saturation within the fractures, for various constant values of the liquid flow rate and for increasing values of the gas flow rate. Regardless of the explored flow regime, two-phase flow relative permeabilities were calculated as the ratio of the single phase flow pressure drop per unit length divided by the two-phase flow pressure drop per unit length, and were plotted versus the measured fluid saturation. Results confirm the dependence of the relative permeabilities on the flow regime. Also the proposed generalization of Darcy’s law shows that the relative permeabilities versus fluid saturation follow physical meaningful trends for different liquid and gas flow rates. The presented model fits correctly the liquid and gas experimental relative permeabilities as well as the fluid saturation.

43 citations

Book
01 Jan 1982
TL;DR: In this paper, the authors present a course on Gas Dynamics for aerodynamic high-speed vehicles, which provides a link between core subjects i.e. fluid mechanics and thermodynamics.
Abstract: COURSE OUTLINE : “Gas Dynamics” is a topic of fundamental interest to Mechanical and Aerospace engineers that provides a link between core subjects i.e. “Fluid Mechanics and Thermodynamics”. It pertains the basic theory of compressible flow, formation of shock waves and expansion waves, nozzle flows. The treatment of the syllabus becomes the backbone of aerodynamic engineers towards research in the design of high-speed vehicles. The contents of the course starts with fluid and thermodynamic fundamentals followed by governing theories of compressible flow phenomena. Many aerodynamic high-speed facilities and their measurement diagnostics governed by these theories, are also covered in this course.

43 citations

Journal ArticleDOI
TL;DR: Two flow problems relevant to fuel cell modeling are simulated with the lattice-Boltzmann (LB) approach and it was shown that, in order to obtain correct results at the interface or near the boundary, the physical time scales of the problem must be kept larger than the lattices time.

43 citations


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