• Journal of the Korean Ceramic Society
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• v.39 no.11
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• pp.1103-1107
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• 2002

Biocompatible ${\beta}$-Tricalcium Phosphate(${\beta}$-TCP) powder was successfully synthesized by using a re-cycled eggshell and phosphoric acid. The crystallization behavior of the synthesized powder was dependent on the mixing ratio between the eggshell and phosphoric acid, the starting condition of the eggshell and calcination temperature. The ${\beta}$-TCP was stably synthesized in the 1:1.3~1:1.5 (wt%) mixing ratios of calcined eggshell and phosphoric acid. The synthesis was achieved at about $900{\circ}$ for 1h in an air atmosphere. The crystalline development and microstructure of the synthesized powder were examined by X-ray diffractometer and scanning electron microscopy.

• KSBB Journal
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• v.11 no.5
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• pp.565-571
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• 1996

Medium optimization for ${\beta}$-mannanase production by Aspergillus oryzae ATCC 2114 was performed. Effect of carbon source (locust bean gum) concentration on ${\beta}$-mannanase production was investigated. Above 20 g/L locust bean gum, a lag time for ${\beta}$-mannanase production was appeared because high concentration of locust bean gum caused high viscosity which made the mixing of medium poor. As the locust bean gum concentration in the medium increased, ${\beta}$-mannanase activity and cell growth increased proportionally. Effect of various nitrogen sources on ${\beta}$-mannanase production was also studied. (NH4)2SO4 and malt extract were the most effective for ${\beta}$-mannanase production among the inorganic nitrogenous compounds and organic nitrogen nutrients. Inorganic compounds such as KH2SO4, NaCl, Na2CO3, and MgSO4, on ${\beta}$-mannanase production were optimized for ${\beta}$-mannanase production. Locust bean gum of 10 g/L, malt extract of 3 g/L, (NH4)2SO4 of 2 g/L, KH2SO4, of 10 g/L were selected as the optimal medium. Culture in a fermentor by using the optimal medium was carried out. Lag time of ${\beta}$-mannanase production was shorter due to the better mixing of the fermentor. The maximum ${\beta}$- mannanase activity of 9.7 unit/mL and specific ${\beta}$-mannanase activity of 1.9 unit/mg-cell could be obtained at 27 hours and the productivity of ${\beta}$-mannanase was 0.36 unit/mL$.$h.

• Honam Mathematical Journal
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• v.31 no.4
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• pp.591-599
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• 2009

For given ${\alpha},{\omega}\;{\in}\;{\mathbb{R}}$ and ${\beta}$ > 1, let $T_{{\beta},{\alpha},{\omega}}$ be the skew-product transformation on the torus, [0, 1) ${\times}$ [0, 1) defined by (x, y) ${\longmapsto}\;({\beta}x,y+{\alpha}x+{\omega})$ (mod 1). In this paper, we give a criterion of ergodicity and weakly mixing for the transformation $T_{{\beta},{\alpha},{\omega}}$ when the natural extension of the given ${\beta}$-transformation can be viewed as a generalized baker's transformation, i.e., they flatten and stretch and then cut and stack a two-dimensional domain. This is a generalization of theorems in [10].

• Nuclear Engineering and Technology
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• v.22 no.2
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• pp.116-127
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• 1990

The fission gas release model used In the SPEAR-BETA fuel performance code was modified by use of effective thermal conductivity for cracked fuel and by laking Into account axial fission-gas mixing between the fuel-clad gap and the plenum. With use of this modified model the fission gas release was analyzed under various power ramping conditions of P$_{max}$ and $\Delta$.fP. Effective fuel thermal conductivity that accounts for the effect of fuel tracking was used in calculation of the fuel temperature distribution and the Internal gas pressure under power ramping conditions. Mixing and dilution effects due to axial gas flow were also considered in computing the width and the thermal conductivity of the gap. The effect of axial gas flow w3s solved by the Crank-Nicholson method. The finite difference method was used to save running time in the calculation. The present modified fission-gas release model was validated by comparing its predicted results with experimental data from various lamping tests In the literature and calculated results with use of the models used In the SPEAR-BETA and FEMAXI-IV codes. Results obtained with use of the present modified model showed better agreement with experimental data reported in the literature than those results with use of the latter codes. The fuel centerline temperature calculated with introduction of effective thermal conductivity for centerline temperature calculated with Introduction of effective thermal conductivity for cracked fuel was 200 higher fission gas release predicted with use of the modified model was nearly 6% larger on the average than that calculated by use of the unmodified model used in the SPEAR-BETA code.e SPEAR-BETA code.e.

• Proceedings of the KSME Conference
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• 2007.05b
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• pp.2303-2308
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• 2007

Experiments were performed to determine the thermal (or turbulent) diffusion coefficient (TDC) and to investigate the critical heat flux (CHF) performance in the 5${\times}$5 rod bundle with 5 unheated rods which are supported by Hybrid Mixing Vane. In this study, HFC-134a fluid was used as working fluid and the fluid temperature were measured in the important subchannels. To determine the TDC value, the measured fluid temperatures were compared with the predicted values obtained from the MATRA code. The best optimized value of ${\beta}$ was found to be 0.02 by considering prediction statistics, i.e., average and standard deviations of the differences between the experimental results and code calculations. Using the best optimized value of ${\beta}$ as 0.02, the MATRA code predicts the test results of the fluid temperature within ${\pm}$1.0 % of error. According to the experimental results on CHF of 5 non-heating guide tubes, the case with non-heating guide tube showed a little good performance in terms of CHF.

• Journal of the Korean Society of Combustion
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• v.6 no.2
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• pp.23-28
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• 2001

In the present work, the effect of PDF selection and intermittency on the result of the numerical simulation are examined by the simulation of a turbulent methane-air jet diffusion flame. As to the PDFs, beta-function and clipped Gaussian are considered. Results for the pure mixing jet are compared with experimental results. Then, the turbulent flame is calculated for the same conditions and the results obtained for the several models are compared. It is found that the clipped Gaussian distribution coupled with consideration of intermittency recovers the experimental data very well. As to the reacting flow results, the main overall properties of the turbulent jet diffusion flame such as maximum flame temperature are less affected by the choice of the PDF. Flame height and NO emissions, on the contrary, appear to be significantly influenced.

• Korean Journal of Hydrosciences
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• v.8
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• pp.1-17
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• 1997

Prandtl's mixing length theory was modified to obtain a power velocity distribution in which the coefficient and the exponent are variable over a range from : $$ A simple suspended-sediment concentration distribution was developed from the modified velocity distribytion : $ With nominal values of $\beta$=1.0, $\kappa$=0.4 and visual accumulation tube values of the fall velocity, the comparison between the theory and field measurements by the USGS on the Rio Grande is fair. Doubling the value of the exponent results in a good comparison. Further researches are needed for choosing the values of $\beta$, $\kappa$, and fall velocity values, and consideration on the effects of large-scale turbulence and secondary flows are necessary for them. In a pragmatic sense, on any gaging sites the close analysis of very detailed measurements can establish its specific coefficient and exponent.

• Journal of Microbiology and Biotechnology
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• v.9 no.5
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• pp.548-553
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• 1999

A production of $\beta-Carotene$was attempted in a fed-batch culture of Blakeslea trispora by controlling both foam and dissolved oxygen in the presence of surfactant, Span 20. Results obtained from the shake flask cultures indicated that a high concentration of dissolved oxygen was needed for both cell growth and $\beta-Carotene$ synthesis, and the optimal concentration of glucose was found to be in the range of 50-100 g/l. In order to maintain the dissolved oxygen concentration level at higher than 50% of air saturation, pure oxygen was automatically sparged into the medium with air. Foam was controlled by bypassing air from the submerged aeration to the headspace in response to the foam that was caused by Span 20. High agitation speed was found to be detrimental to the cell growth due to shear damage, even though it provided sufficient dissolved oxygen. On the other hand, a low aeration speed caused stagnant regions in the fermentor because of improper mixing. Thus, for the fed-batch operation, agitation speed was increased gradually from 300 to 700 rpm to prevent cell damage at the initial stage of fermentation and to give efficient mixing for a viscous culture broth as the culture proceeded. By controlling dissolved oxygen and foam, a high concentration of $\beta-Carotene$otene (1,190 mg/l) was obtained in 6 days of the fed-batch culture of B. trispora with 2.5% of the dry cell weight, which was approximately 5 times higher than that of the batch cultures.

• Microbiology and Biotechnology Letters
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• v.19 no.5
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• pp.444-449
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• 1991

Synthesis of maltosyl-$\beta$-cyclodextrin using maltose ($G_2$) and $\beta$-cyclodextrin ($\beta$-CD) as substrates through the reverse reaction of pullulanase was investigated. The optimal conditions for the condensation reaction were as below: mixing ratio of maltose to $\beta$-CD of 12.7, mixed substrate concentration of 70% (w/w, 70 g/100 ml $H_2O$), and amount of pullulanse of 350 units/100 ml. The concentration of synthesized maltosyl-P-CD concentration was reached up to 2.31 g/100 rnl at above reaction conditions, which corresponded the conversion yield of 43% (w/w, g of branched-CD/g of CD). The synthesis of maltosyl-$\alpha >\gamma >\beta$-CD was also attempted, and conversion yield was in the order of a>y>J3-CDs. Condensation reaction between various maltooligosaccharides ($G-1\sim G_6$ showed that maltose was the most effective oligorner for condensation reaction with $\beta$-CD. To increase the conversion yield various alcohols were added into the reaction mixture, amyl alcohol was found to be the most acceptable alcohol for increasement of convesion yield which increased from 43.0 to 83.0% upon addition of same volume of amyl alcohol into the reaction mixture.

• Journal of the Korean Mathematical Society
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• v.61 no.5
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• pp.853-874
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• 2024

Let {X, X_n; n ≥ 1} be a 𝛽-mixing sequence of identical nonnegative random variables with super-heavy tailed distributions and S_n = X₁ + X₂ + · · · + X_n. For 𝜀 > 0, b > 1 and appropriate values of x, we obtain the logarithmic asymptotics behaviors for the tail probabilities ℙ(S_n > e^𝜀nx) and P(S_n > e^𝜀bn). Moreover, our results are applied to the log-Pareto distribution and the distribution for the super-Petersburg game.