A matroid M is said to be k–connected up to separators of size l if whenever A is (k − 1)–separating in M , then either |A| ≤ l or |E(M)− A| ≤ l. We use si(M) and co(M) to denote the simplification and cosimplification of the matroid M . We prove that if a 3–connected matroid M is 4–connected up to separators of size 5, then there is an element x of M such that either co(M\x) or si(M/x) is 3–co...

The ideal battery separator would be infinitesimally thin, offer no resistance to ionic transport in electrolytes, provide infinite resistance to electronic conductivity for isolation of electrodes, be highly tortuous to prevent dendritic growths, and be inert to chemical reactions. Unfortunately, in the real world the ideal case does not exist. Real world separators are electronically insulati...

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...

Themembrane separator is a key component in a liquid-electrolyte battery for electrically separating the cathode and the anode, meanwhile ensuring ionic transport between them. Besides these basic requirements, endowing the separator with specific beneficial functions is now being paid great attention because it provides an important alternative approach for the development of batteries, partic...

LetG be an r-outerplanar graph with n vertices. We provide a sequence of log(n)/(r+ 1) +8r separators in G, each containing a fixed number (at most 2r) of integerlabeled vertices and each separating the graph in a well-defined left and right side such that the following two conditions are fulfilled. (1) The separators are nested, meaning that the left side of every separator S is contained in a...

Nowadays, the increasing demand for energy in the world is one of the main concerns for energy supply. In fact, the required energy can be obtained by increasing the production rate of fossil fuels such as oil and natural gas. However, improving the efficiency of the equipment and facilities might have a significant impact on production from hydrocarbon resources. With respect to this subject, ...

We develop exact and approximate algorithms for computing optimal separators and measuring the extent to which two point sets in d-dimensional space are separated, with respect to different classes of separators and various extent measures. This class of geometric problems generalizes two widely studied problem families, namely separability and the computation of statistical estimators.

Electrospun nanofiber membranes have been extensively studied as separators in Li-ion batteries due to their large porosity, unique pore structure, and high electrolyte uptake. However, the electrospinning process has some serious drawbacks, such as low spinning rate and high production cost. The centrifugal spinning technique can be used as a fast, cost-effective and safe technique to fabricat...