19 research outputs found

    Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity

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    We study the existence and stability of localized states in the discrete nonlinear Schr{\"o}dinger equation (DNLS) on two-dimensional non-square lattices. The model includes both the nearest-neighbor and long-range interactions. For the fundamental strongly localized soliton, the results depend on the coordination number, i.e., on the particular type of the lattice. The long-range interactions additionally destabilize the discrete soliton, or make it more stable, if the sign of the interaction is, respectively, the same as or opposite to the sign of the short-range interaction. We also explore more complicated solutions, such as twisted localized modes (TLM's) and solutions carrying multiple topological charge (vortices) that are specific to the triangular and honeycomb lattices. In the cases when such vortices are unstable, direct simulations demonstrate that they turn into zero-vorticity fundamental solitons.Comment: 17 pages, 13 figures, Phys. Rev.

    Applied Thermal Engineering

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    Several technologies are being researched to address the challenges of cryogenic heat transfer in liquefied natural gas (LNG) production. Single mixed refrigerant (SMR) or dual mixed refrigerant (DMR) systems have advantages vs. pure refrigerant-based systems (e.g., cascade or inverted Brayton cycle with nitrogen) due to compact design suitable for small-scale units. However, the selection of mixed refrigerant composition is a challenge. Several methods have been published, typically using heuristic and computational techniques; with power consumption, efficiency, and/or exergy as the figure of merit. This paper presents an alternative approach for the determination of optimum refrigerant mixture composition based on nonlinear thermodynamic equations relating heat exchanger composite curves and mass flow of LNG produced. Three case studies demonstrate the effectiveness of the approach, indicating that single mixed refrigerant systems can be used for cost-effective LNG production while improving LNG production per unit of refrigerant flow rate by as much as 6.5 % vs. conventional approaches. The research is applicable to current needs of the gas extraction industry because it helps increase LNG production in small-scale cryogenic systems, thereby enabling economic gas recovery and reducing flaring during fracking operation, as is typical in e.g., the Bakken formation of North Dakota.Sciencie Directhttps://www.sciencedirect.com/science/article/abs/pii/S1359431122014156#kg00

    Automated modelling of complex refrigeration cycles through topological structure analysis

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    We have developed a computational method for analysis of refrigeration cycles. The method is well suited for automated analysis of complex refrigeration systems. The refrigerator is specified through a description of flows representing thermodynamic sates at system locations; components that modify the thermodynamic state of a flow; and controls that specify flow characteristics at selected points in the diagram. A system of equations is then established for the refrigerator, based on mass, energy and momentum balances for each of the system components. Controls specify the values of certain system variables, thereby reducing the number of unknowns. It is found that the system of equations for the refrigerator may contain a number of redundant or duplicate equations, and therefore further equations are necessary for a full characterization. The number of additional equations is related to the number of loops in the cycle, and this is calculated by a matrix-based topological method. The methodology is demonstrated through an analysis of a two-stage refrigeration cycle. © 2009 Elsevier Ltd. All rights reserved

    Effect of an Exogenous Phytase on Growth Performance in Growing Holstein Calves

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    The aim of this study was to evaluate the effect on the productive performance, apparent digestibility of DM, serum phosphorus and phosphorus balance in Holstein calves which received a high concentrate diet with different doses of exogenous phytase for a period of 60d. The experiment was conducted with a completely randomized design with three treatments of eight calves each, the treatment included dietary supplementation of exogenous phytase at 0, 12 and 24 g/ton. Phytase inclusion increased (P<0.05) average daily gain when phytase was supplemented at 24 (850g) as compared to 0 (816g) or 12 (809g) g/ton. However, it had no effect (P>0.05) on DM intake, feed conversion and DM digestibility. Adding phytase in the diet decreased phosphorus excretion in faeces (P<0.05) showing a significant linear increase with increasing level of supplementation (the values being 9.96, 9.14 and 8.13 g/d) which, in turn, increased the P retention (4.69, 5.37 and 6.45 g/d, resectively, for the three groups). In conclusion, supplementation of phytase could improve the growth performance of calves without any discernible effects on feed intake or digestibility of nutrients
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