• Journal of the Chungcheong Mathematical Society
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• v.23 no.1
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• pp.59-63
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• 2010

In this paper, we introduce the concept of weakly-ultra-${\alpha}{\psi}$-separation of two sets in a topological space using ${\alpha}{\psi}$-open sets. The ${\alpha}{\psi}$-closure and the ${\alpha}{\psi}$-kernel are defined in terms of this weakly ultra-${\alpha}{\psi}$-separation. We also investigate some of the properties of the ${\alpha}{\psi}$-kernel and the ${\alpha}{\psi}$-closure.

• Kyungpook Mathematical Journal
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• v.52 no.4
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• pp.405-412
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• 2012

The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $\acute{A}$. Cs$\acute{a}$sz$\acute{a}$r, we introduce unified definitions of ${\wedge}_{\psi}$-sets, ${\vee}_{\psi}$-sets, $g{\cdot}{\wedge}_{\psi}$-sets and $g{\cdot}{\vee}_{\psi}$-sets and derive results concerning them.

• Korean Journal of Environmental Biology
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• v.17 no.3
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• pp.359-364
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• 1999

The effect of Salicylic acid (SA) on the leaf growth, chlorophyll content, photosynthesis, stomatal conductance in Commelina communis L. was investigated. C. communis which was grown in Hoagland solution containing 1 mM SA during 3 weeks resulted in a significant reduction of leaf length, width and area. 1 mM SA reduced about 10% of the leaf area at 1 week and 2 weeks, but inhibited 22% of the leaf area at 3 weeks. SA also showed great effect on the reduction of chlorophyll content. SA reduced 47% and 53% of chlorophyll content each at 2 weeks and 3 weeks when it was compared with the control. Chlorophyll a/b ratio in SA treated sample was increased at 3 weeks representing that SA was sensitive to chlorophyll b. The treatment of SA did not inhibit the activity of PSII＋PSI, PSII and PSI. This result indicates that SA did not show direct effect oil the photosynthetic electron transport activity. However, when C. communis was grown in Hoagland solution containing I mM SA fer long period, SA showed clear inhibition of photosyhthesis in intact leaves. The treatment of SA for 3 weeks showed about 23~65% inhibition of photosynthetic activity at various light intensity (100~1000$\mu$mo1 m­$^2$S­$^1$). Similar effect was found on stomatal conductance. The treatment of SA caused an almost closure of stomata. Similar effects of stomatal conductance at various light intensity indicate a loss of normal control on stomatal mechanism. These results indicate that the effect of SA on photo-synthetic activity was not by SA itself but by indirect metabolic pathway.

• Nuclear Engineering and Technology
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• v.42 no.6
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• pp.620-635
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• 2010

In this paper we describe current activities on the project Multi-Scale Modeling and Analysis of convective boiling (MSMA), conducted jointly by the Paul Scherrer Institute (PSI) and the Swiss Nuclear Utilities (Swissnuclear). The long-term aim of the MSMA project is to formulate improved closure laws for Computational Fluid Dynamics (CFD) simulations for prediction of convective boiling and eventually of the Critical Heat Flux (CHF). As boiling is controlled by the competition of numerous phenomena at various length and time scales, a multi-scale approach is employed to tackle the problem at different scales. In the MSMA project, the scales on which we focus range from the CFD scale (macro-scale), bubble size scale (meso-scale), liquid micro-layer and triple interline scale (micro-scale), and molecular scale (nano-scale). The current focus of the project is on micro- and meso-scales modeling. The numerical framework comprises a highly efficient, parallel DNS solver, the PSI-BOIL code. The code has incorporated an Immersed Boundary Method (IBM) to tackle complex geometries. For simulation of meso-scales (bubbles), we use the Constrained Interpolation Profile method: Conservative Semi-Lagrangian $2^{nd}$ order (CIP-CSL2). The phase change is described either by applying conventional jump conditions at the interface, or by using the Phase Field (PF) approach. In this work, we present selected results for flows in complex geometry using the IBM, selected bubbly flow simulations using the CIP-CSL2 method and results for phase change using the PF approach. In the subsequent stage of the project, the importance of effects of nano-scale processes on the global boiling heat transfer will be evaluated. To validate the models, more experimental information will be needed in the future, so it is expected that the MSMA project will become the seed for a long-term, combined theoretical and experimental program.