• Journal of applied mathematics & informatics
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• v.32 no.5_6
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• pp.761-781
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• 2014

An exponentially accurate nonconforming spectral element method for elasticity systems with discontinuities in the coefficients and the flux across the interface is proposed in this paper. The method is least-squares spectral element method. The jump in the flux across the interface is incorporated (in appropriate Sobolev norm) in the functional to be minimized. The interface is resolved exactly using blending elements. The solution is obtained by the preconditioned conjugate gradient method. The numerical solution for different examples with discontinuous coefficients and non-homogeneous jump in the flux across the interface are presented to show the efficiency of the proposed method.

• Membrane Journal
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• v.24 no.5
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• pp.400-408
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• 2014

This study is to evaluate the performance of draw solutions in forward osmosis desalination using fertilizer as draw solution. Considering osmotic pressure, solubility, and pH, $NH_4NO_3$, $NH_4H_2PO_4$, $(NH_4)_2HPO_4$, KCl, $KNO_3$, and $KHCO_3$ were screened from a comprehensive lists of fertilizer. Their performance were evaluated in terms of pure water permeate flux, reverse solute flux, and specific reverse solute flux for nitrogen and phosphorus. KCl showed the highest pure water permeate flux among the selected fertilizers while $(NH_4)_2HPO_4$ draw solution had the lowest flux. $NH_4H_2PO_4$ showed the lowest reverse solute flux and specific reverse solute flux for nitrogen followed by $(NH_4)_2HPO_4$, $KNO_3$, and $NH_4NO_3$. Although the pure water permeate flux of $NH_4H_2PO_4$ is lower than the other draw solutions, because it contains both nitrogen and phosphorus, and have the lowest reverse solute flux and specific reverse solute flux, it is a promising candidate as draw solution for forward osmosis desalination.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.24 no.11
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• pp.1428-1436
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• 2000

The absorption of vapor involves simultaneous heat and mass transfer in the vapor/liquid system. In this paper, a numerical study for vapor absorption process into LIBr-H$_2$O solution film flowing over helical absorber has been carried out. Axisymmetric cylindrical coordinate system was adopted to model the helical tube and the transport equations were solved by the finite volume method. The effects of operating conditions, such as the cooling water temperature. the system pressure, the film Reynolds number and the solution inlet concentration have been investigated in view of the absorption mass flux and the total absorption mass flux and the total absorption rate. The results for the temperature and concentration profiles, as well as the local absorption mass flux at the helical absorber are presented. It is shown that solution inlet concentration affected other than operation conditions for a mass flux.

• Membrane and Water Treatment
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• v.6 no.2
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• pp.161-172
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• 2015

Forward osmosis (FO) is an emerging membrane technology with potential applications in desalination and wastewater reclamation. The osmotic pressure gradient across the FO membrane is used to generate water flux. In this study, flux performance and foulant deposition on the FO membrane were systematically investigated with a co-current cross-flow membrane system. Sodium alginate (SA), bovine serum albumin (BSA) and tannic acid (TA) were used as model foulants. Organics adsorbed on the membrane were peeled off via oscillation and characterized by Fourier transform infrared (FTIR) spectroscopy and scanning electron microscopy (SEM). When an initial flux of $8.42L/m^2h$ was applied, both flux reduction and foulant deposition were slight for the feed solution containing BSA and TA. In comparison, flux reduction and foulant deposition were much more severe for the feed solution containing SA, as a distinct SA cake-layer was formed on the membrane surface and played a crucial role in membrane fouling. In addition, as the initial SA concentration increased in FS, the thickness of the cake-layer increased remarkably, and the membrane fouling became more severe.

• Journal of Pharmaceutical Investigation
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• v.34 no.3
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• pp.201-207
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• 2004

In order to develop an optimum formulation for iontophoretic flux of vitamine C 2-phosphate (VCP), we have prepared three different hydrogels containing VCP, using carbopol, HPMC and poloxamer, and iontophoretic flux through hairless mouse skin from these hydrogels was carried out. Drug stability in phosphate buffer (PBS) solution (pH 7.4) with and without current application was studied. The effect of various factors, such as drug concentration, current density, and current profile on skin flux was also investigated. Stability study indicated that VCP in PBS (pH 7.4) solution was stable under the experimental condition, irrespective of the presence of current. Cathodal delivery increased the flux markedly, whereas the anodal and passive flux was negligible. Thus, cathodal delivery was used in all experiments. Flux increased as the drug concentration (2.5, 5.0, 7.5%) and current density $(0.2,\;0.4,\;0.6\;mA/cm^2)$ increased. Pulsed application of the current showed lower flux than constant current application. The results obtained suggest that VCP can be delivered into the skin and the amount delivered can be controlled by varying hydrogel, current density, drug concentration and current application profile.

• Korean Chemical Engineering Research
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• v.48 no.1
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• pp.75-79
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• 2010

The precursor powders with thin wall structure were prepared by spray pyrolysis from the spray solution with ethylenediaminetetraacetic acid, citric acid and $NH_4Cl$ flux. The $BaMgAl_{10}O_{17}:Eu$ phosphor powders formed from the spray solution without organic additives and flux material had sizes of $1{\sim}5{\mu}m$ and hollow structure with high thickness at post-treatment temperature of $1,200^{\circ}C$. However, $BaMgAl_{10}O_{17}:Eu$ phosphor powders formed from the spray solution with ethylenediaminetetraacetic acid, citric acid and $NH_4Cl$ flux had fine size and plate-like shape. The mean crystallite sizes of the phosphor powders with fine sizes were 23, 35, and 33 nm when the content of $NH_4Cl$ flux were 0, 6, 35 wt% of phosphor. The photoluminescence intensity of the phosphor powders formed from the spray solution with the optimum amount of $NH_4Cl$ flux as 35 wt% was 215% of that of the phosphor powders formed from the spray solution without flux material.

• Journal of Ocean Engineering and Technology
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• v.22 no.2
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• pp.7-12
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• 2008

A far field solution of the slowly varying force on an offshore structure by gravity ocean waves was shown as a function of the reflection and transmission of the body disturbed waves. The solution was obtained from the conservation of the momentum flux, which simply describes various wave forces, while making it unnecessary to compute complicated integration over a control surface. The solution was based on the assumption that the frequency difference of the bichromatic incident waves is small and its second order term is negligible. The final solution is expressed in term of the reflection and transmission waves, i.e. their amplitudes and phase angles. Consequently, it shows that not only the amplitudes but also the phase differences make critical contributions to the slowly varying force. In a limiting case, the slowly varying force solution gives the one of the mean drift force, which is only dependent on the reflection wave amplitude. An approximation is also suggested in a case where only the mean drift force information is available.

• Korean Chemical Engineering Research
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• v.52 no.3
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• pp.328-334
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• 2014

This study examined the effect of concentration polarization on permeate flux in forward osmosis (FO) membrane process for saline and sucrose solution. The reduction in permeate flux during the FO membrane process is largely due to the formation of concentration polarization on membrane surfaces. The flux reduction due to internal concentration polarization formed on the porous support layer was larger than that due to the external concentration polarization on the active membrane surface. Water permeate flux through the FO membrane increased nonlinearly with the increase in osmotic pressure. The water permeability coefficient was $1.8081{\times}10^{-7}m/s{\cdot}atm$ for draw solution on active layer (DS-AL) mode and $1.0957{\times}10^{-7}m/s{\cdot}atm$ for draw solution on support layer (DS-SL) mode in NaCl solution system. The corresponding membrane resistance was $5.5306{\times}10^6$ and $9.1266{\times}10^6s{\cdot}atm/m$, respectively. With respect to the sucrose solution, the permeate flux for DS-AL mode was 1.33~1.90 times higher than that for DS-SL mode. The corresponding variation in the permeation flux (J) due to osmotic pressure (${\pi}$) would be expressed as $J=-0.0177+0.4506{\pi}-0.0032{\pi}^2$ for the forward and $J=0.0948+0.3292{\pi}-0.0037{\pi}^2$ for the latter.

• Transactions of the Korean Society of Mechanical Engineers
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• v.19 no.4
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• pp.1071-1082
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• 1995

Numerical analyses have been performed to obtain the absorption heat and mass transfer coefficients and the absorption mass flux from a falling film of the LiBr aqueous solution which is cooled by cooling air. Heat flux at the wall is specified in terms of the heat transfer coefficient of cooling air and the cooling air temperature. Effects of operating conditions, such as the heat transfer coefficient, the cooling air temperature, the system pressure and the solution inlet concentration have been investigated in view of the local absorption mass flux and the total mass transfer rate. Effects of film thickness and film Reynolds number on the heat and mass transfer coefficients have been also estimated. Analyses for the constant wall temperature condition have been also carried out to examine the reliability of present numerical method by comparing with previous investigations.

• Proceedings of the Korean Society of Marine Engineers Conference
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• 2002.05a
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• pp.41-47
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• 2002

A model of simultaneous heat and mass transfer process in absorption of refrigerant vapor into a lithium bromide solution of water-cooled vertical plate absorber was developed. The model can predict temperature and concentration profiles as well as the absorption heat and mass fluxes, the total heat and mass transfer rates and the heat and mass transfer coefficients. Besides, the effect of operating condition on absorption mass flux has been investigated, with the result that the absorption mass flux is increased as the inlet cooling water temperature decreases, the system pressure increases and the inlet solution concentration increases. And among the effects of operating parameters on absorption mass flux, the effect of inlet solution concentration is dominant.