Journal ArticleDOI
Laminar Flow in Channels with Porous Walls
TLDR
In this article, the Navier-Stokes equations have been solved to obtain a complete description of the fluid flow in a channel having a rectangular cross section and two equally porous walls.Abstract:
The Navier‐Stokes equations have been solved to obtain a complete description of the fluid flow in a channel having a rectangular cross section and two equally porous walls. The scope has been limited to two‐dimensional incompressible steady‐state laminar flow.The solution of the flow equations leads to detailed expressions for the dependence of the velocity components and the pressure on position coordinates, channel dimensions, and fluid properties.read more
Citations
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The behavior of suspensions and macromolecular solutions in crossflow microfiltration
TL;DR: In this article, a review of microfiltration is presented, focusing on the formation of cakes, the behavior of suspension flows and particle transport in simple geometry ducts, and the formation and behavior of fouling layers including those resulting from macromolecules, colloids and particles.
Journal ArticleDOI
Critical and sustainable fluxes: Theory, experiments and applications
TL;DR: The concept of critical flux has been used in a number of different ways often without explicit redefinition as mentioned in this paper, and it has been clarified both theoretically and from an experimental viewpoint, and a link with the concept of sustainable flux and an approach given for the determination of the apparent sustainable flux.
Journal ArticleDOI
Spacer characterization and pressure drop modelling in spacer-filled channels for ultrafiltration
TL;DR: In this article, the authors developed a correlation that allows the characterization and design of net-like feed channel spacers in any combination of geometric characteristics: angle, mesh size, thickness, strand size and voidage.
Journal ArticleDOI
Theory of concentration polarization in crossflow filtration
Lianfa Song,Menachem Elimelech +1 more
TL;DR: In this paper, a novel theory was developed for concentration polarization of noninteracting particles in crossflow-filtration systems, which reveals that the extent of concentration polarization, as well as the behaviour of the permeate flux, are characterized by an important dimensionless filtration number (NF= 4πa3pΔP/3kT).
Journal ArticleDOI
KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel
TL;DR: In this article, the effects of the nanoparticle volume fraction, Reynolds number, expansion ratio and power law index on Hydrothermal behavior of nanofluid fluid between two parallel plates is studied.
References
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Journal ArticleDOI
On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer
TL;DR: In this paper, it was shown that for the application to be made of the solution the appropriate condition is that y′ → 1 from below, and as rapidly as possible, as x → ∞.
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LXXXV. Solutions of the boundary-layer equations
TL;DR: In this article, a particular solution of the boundary-layer equations is given for the case where the tangential velocity at the outer limit of boundary layer is proportional to a power of the distance measured along the boundary from the stagnation point, and the results are presented graphically for a range of values of the index.
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Flow through uniformly tapped pipes
TL;DR: In this paper, a review of the case of laminar and turbulent flow through a pipe with a porous wall is presented, and the following questions have been treated in an analytical way: laminars flow in a pipe and laminaris flow through branch pipes, or with discharge through orifices; turbulent flow in the pipe, or discharge through a orifice.