Given G = (V, E) an undirected graph and two speci ed nonadjacent nodes a and b of V , a cut separator is a subset F = δ(C) ⊆ E such that a, b ∈ V \C and a and b belong to di erent connected components of the graph induced by V \C. Given a nonnegative cost vector c ∈ R|E| + , the optimal cut separator problem is to nd a cut separator of minimum cost. This new problem is closely related to the v...

The performance of airlift bioreactors are closely related with their geometry, especially the gas-liquid separator design. In this study, the influence of the gas-liquid separator geometry on oxygen transfer and gas hold-up was evaluated in 10-L concentric-tube airlift bioreactor operating with distilled water and xanthan gum solution. The specific airflow rate (ɸAIR) exhibited the higher effe...

The separator is a critical, multi-functional component of a Li-ion cell that plays a key role in performance and safety during energy conversion and storage processes. Heat flow through the separator is important for minimizing cell temperature and avoiding thermal runaway. Despite the critical nature of thermal conduction through the separator, very little research has been reported on unders...

We provide a simple proof of the existence of a planar separator by showing that it is an easy consequence of the circle packing theorem. We also reprove other results on separators, including: (A) There is a simple cycle separator if the planar graph is triangulated. Furthermore, if each face has at most d edges on its boundary, then there is a cycle separator of size O ` ? dn ̆ . (B) For a set...

We use AC impedance methods to investigate the effect of mechanical deformation on ion transport in commercial separator membranes and lithium-ion cells as a whole. A Bruggeman type power law relationship is found to provide an accurate correlation between porosity and tortuosity of deformed separators, which allows the impedance of a separator membrane to be predicted as a function of deformat...

Recently a large number of graph separator problems have been proven to be NPHard. Amazingly we have found that α-Subgraph-Balanced-Vertex-Separator, an important variant, has been overlooked. In this work “Yet Another Graph Partitioning Problem is NP-Hard” we present the surprising result that α-SubgraphBalanced-Vertex-Separator is NP-Hard. This is despite the fact that the constraints of our ...

a proper understanding of reservoir fluid phase behavior is the first crucial step in the development and production of an oil/gas field. this paper addresses the challenges and errors associated with the fluid sampling that may arise before, during and after the sampling operation. for this aim, dst and pvt data of exploration and production wells of a supergiant offshore gas condensate reserv...

In the Tabas coal preparation plant (SE Iran), -50 + 6 mm raw coal was treated in a 700 mm two-stage two-density Tri-Flo dynamic dense medium separator. In order to study the circuit performance and to evaluate the separator efficiency, 32 mm cubic density tracers were used in the range of 1.28-2.1 g/cm3 and under different operational conditions. The performance of Tri-Flo was evaluated in a r...

A scheme for carrying out numerical simulation of a multistage mass separator is described. The results of a calculated solution are summarized for the design of a high resolution separator for purifying beams at the isobaric level.

This study evaluated the separation efficiency and developed a pressure drop model for a multicyclone separator used for natural gas purification. The collection and grade efficiencies of a multicyclone separator with 15 single cyclone separators were evaluated at inlet velocities of 6–24 m/s and particle concentrations of 30–2000 mg/m at atmospheric pressure and room temperature. The experimen...