Author
Abraham S. Berman
Bio: Abraham S. Berman is an academic researcher. The author has contributed to research in topics: Open-channel flow & Laminar flow. The author has an hindex of 4, co-authored 5 publications receiving 1080 citations.
Papers
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TL;DR: 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.
990 citations
TL;DR: In this paper, the effects of restricted radial flows on the characteristics of the flow field have been examined, and it is shown that the radial component of flow can be used to obtain an exact solution to the Navier-Stokes equations describing the steady-state flow of an incompressible fluid in an annulus having porous walls.
Abstract: When certain restrictions are applied to the radial component of flow it is possible to obtain an exact solution to the Navier‐Stokes equations describing the steady‐state flow of an incompressible fluid in an annulus having porous walls. The effects of such restricted radial flows on the characteristics of the flow field have been examined.
106 citations
27 citations
7 citations
TL;DR: In this paper, the free molecule flow through a long tube rotating about its axis is investigated and it is shown that the mass flow through the rotating tube is less than that through a stationary tube.
Abstract: The free molecule flow through a long tube rotating about its axis is investigated. For a given density difference across the tube ends the mass flow through the rotating tube is less than that through a stationary tube. For low rotation speed the decrease in mass flow is proportional to the square of the angular velocity while for high speed the mass flow is proportional to the reciprocal of the square of the angular velocity. Radial molecular density and molecular flux distributions are also obtained.
4 citations
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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.
1,317 citations
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.
701 citations
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.
376 citations
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).
Abstract: A novel theory is developed for concentration polarization of non-interacting particles in crossflow-filtration systems. This theory 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). There is a critical value of the filtration number for a given suspension and operational conditions. When the filtration number is smaller than the critical value, a polarization layer exists directly over the membrane surface and the wall particle concentration is determined by the pressure and temperature. At higher filtration numbers, a cake layer of retained particles forms between the polarization layer and the membrane surface. Mathematical models are constructed for both cases and analytical solutions for the permeate flux are derived. An increase in permeate flux with increasing pressure is predicted for all operational conditions.
344 citations
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.
336 citations