• Title/Summary/Keyword: Homogeneous Solution

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Electorchemical Etching of Anode Foil for Aluminum electorlytic Capacitors (알루미늄 전해 콘덴서용 양극박 전해 에칭)

  • 이중선;유연철
    • Journal of the Korean institute of surface engineering
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    • v.26 no.5
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    • pp.271-279
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    • 1993
  • Experiments on electorchemical etching of aluminum foils with high cubic textures were carried out in this study. Etching behaviours and pit shapes with respect to various conditions of eletrochemical etching were in-vestigated. When HCl and NaCl solutions were used as electrolytes, the highest capacitanes were observed in solutions of 1MHCl and 5M NaCl. It was foundd that capacitance was improved by addition of H2SO4 to HCl so-lution which is considered to be due to the suppression of oxide film formation on the aluminum surface. The homogeneous distribution of each pits obtained in the HCl solution, while the degree of weight loss was lowest in the Nacl solution. The best etching properties in 1M HCl solution were obtained at the etching condi-tions of 0.15 A/$\textrm{cm}^2$, 150sec and$ 90^{\circ}C$.

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STABILITY OF POSITIVE STEADY-STATE SOLUTIONS IN A DELAYED LOTKA-VOLTERRA DIFFUSION SYSTEM

  • Yan, Xiang-Ping;Zhang, Cun-Hua
    • Journal of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.715-731
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    • 2012
  • This paper considers the stability of positive steady-state solutions bifurcating from the trivial solution in a delayed Lotka-Volterra two-species predator-prey diffusion system with a discrete delay and subject to the homogeneous Dirichlet boundary conditions on a general bounded open spatial domain with smooth boundary. The existence, uniqueness and asymptotic expressions of small positive steady-sate solutions bifurcating from the trivial solution are given by using the implicit function theorem. By regarding the time delay as the bifurcation parameter and analyzing in detail the eigenvalue problems of system at the positive steady-state solutions, the asymptotic stability of bifurcating steady-state solutions is studied. It is demonstrated that the bifurcating steady-state solutions are asymptotically stable when the delay is less than a certain critical value and is unstable when the delay is greater than this critical value and the system under consideration can undergo a Hopf bifurcation at the bifurcating steady-state solutions when the delay crosses through a sequence of critical values.

Acid-Base and Spectroscopic Properties of 1,4-Benzodiazepines in Sodium Dodecyl Sulfate Micellar Solutions

  • Joon Woo Park;Hye Sung Cho
    • Bulletin of the Korean Chemical Society
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    • v.11 no.1
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    • pp.54-58
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    • 1990
  • Acid-base equilibria and spectroscopic properties of diazepam and chlorodiazepoxide were investigated in sodium dodecyl sulfate (SDS) micellar solutions as functions of pH. The results were compared with the behaviors in homogeneous aqueous media. The presence of SDS increased the $pK_a$ of chlorodiazepoxide to 6.3 from 4.7, while it has little effect on the $pK_a$ of diazepam. The acidic protonated form of diazepam was moderately fluorescent when the solution was excited at 350 nm, and emissnion intensity of the species was enhanced about 5 fold by the presence of SDS. On the other hand, the acidic solution of chlorodiazepoxide was non-fluorescent, but the neutral solution of the compound was fluorescent upon excitation at 350 nm. The emission peak of the neutral chlorodiazepoxide shifted to shorter wavelength region without significant change in the emission intensity upon the addition of SDS. Procedures for assay of the individual drugs from their mixture by the use of SDS micelle were discussed.

Numerical simulation of elastic-plastic stress concentration in fibrous composites

  • Polatov, Askhad M.
    • Coupled systems mechanics
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    • v.2 no.3
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    • pp.271-288
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    • 2013
  • In the present study an elastic-plastic strain analysis is carried out for fibrous composites by using numerical modeling. Application of homogeneous transversely-isotropic model was chosen based on problem solution of a square plate with a circular hole under uniaxial tension. The results obtained in this study correspond to the solution of fiber model trial problem, as well as to analytical solution. Further, numerical algorithm and software has been developed, based on simplified theory of small elastic strains for transversely-isotropic bodies, and FEM. The influence of holes and cracks on stress state of complicated configuration transversely-isotropic bodies has been studied. Strain curves and plasticity zones that are formed in vicinity of the concentrators has been provided. Numerical values of effective mechanical parameters calculated for unidirectional composites at different ratios of fiber volume content and matrix. Content volume proportions of fibers and matrix defined for fibrous composite material that enables to behave as elastic-plastic body or as a brittle material. The influences of the fibrous structure on stress concentration in vicinity of holes on boron/aluminum D16, used as an example.

SINGULAR AND DUAL SINGULAR FUNCTIONS FOR PARTIAL DIFFERENTIAL EQUATION WITH AN INPUT FUNCTION IN H1(Ω)

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • v.38 no.5
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    • pp.603-610
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    • 2022
  • In [6, 7] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary conditions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. They considered a partial differential equation with the input function f ∈ L2(Ω). In this paper we consider a PDE with the input function f ∈ H1(Ω) and find the corresponding singular and dual singular functions. We also induce the corresponding extraction formula which are the basic element for the approach.

An analytical solution for equations and the dynamical behavior of the orthotropic elastic material

  • Ramady, Ahmed;Atia, H.A.;Mahmoud, S.R.
    • Advances in concrete construction
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    • v.11 no.4
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    • pp.315-321
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    • 2021
  • In this article, an analytical solution of the dynamical behavior in an orthotropic non-homogeneity elastic material using for elastodynamics equations is investigated. The effects of the magnetic field, the initial stress, and the non-homogeneity on the radial displacement and the corresponding stresses in an orthotropic material are investigated. The analytical solution for the elastodynamic equations has solved regarding displacements. The variation of the stresses, the displacement, and the perturbation magnetic field have shown graphically. Comparisons are made with the previous results in the absence of the magnetic field, the initial stress, and the non-homogeneity. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity.

SEMI-ANALYTICAL SOLUTION TO A COUPLED LINEAR INCOMMENSURATE SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

  • Iqbal M. Batiha;Nashat Alamarat;Shameseddin Alshorm;O. Y. Ababneh;Shaher Momani
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.449-471
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    • 2023
  • In this paper, we study a linear system of homogeneous commensurate /incommensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.

Lateral Behavior of Sin811e and Group Piles in Sand (사질토 지반에서 말뚝의 수평거동)

  • 김영수;김병탁
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.10a
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    • pp.3-44
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    • 1999
  • This paper discusses the lateral behavior of single and group piles in homogeneous and non-homogeneous(two layered) soil. In the single pile, the model tests were conducted to investigate the effects on ratio of lower layer height to embedded pile length, ratio of soil modules of upper layer to lower layer, boundary rendition of pile head and tip, embedded pile length, pile construction condition, ground condition with saturate and moisture state in Nak-Dong river sand. Also, in the group pile, the model tests were to investigate the effects on spacing-to-diameter ratio of pile, pile array, ratio of pile spacing, boundary condition of pile head and tip, eccentric load and ground condition. The maximum bending moment and deflection induced in active piles were found to be highly dependent on the relative density, pile construction condition, boundary condition of pile head and tip. Based on the results obtained, it was found that the decrease of lateral bearing capacity in saturated sand was in the range of 31% - 53% as compared with the case of dry sand. Also, in the group pile, a spacing-to-diameter of 6.0 seems to be large enough to eliminate the group effect for the case of relative density of 61.8%, and 32.8%, and then each pile in such a case behaves essentially the same as a single pile. In this study, the program is developed by using the modified Chang method which used p - y method and the exact solution of governing equation of pile and it can be used to calculate the deflection, bending moment and soil reaction with FDM in non-homogeneous soil. In comparing the modified Chang method with field test results, the predict results shows better agreement with measured results in field tests.

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Speciation of Chromium in Water Samples with Homogeneous Liquid-Liquid Extraction and Determination by Flame Atomic Absorption Spectrometry

  • Abkenar, Shiva Dehghan;Hosseini, Morteza;Dahaghin, Zohreh;Salavati-Niasari, Masoud;Jamali, Mohammad Reza
    • Bulletin of the Korean Chemical Society
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    • v.31 no.10
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    • pp.2813-2818
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    • 2010
  • A novel method was developed for the speciation of chromium in natural water samples based on homogeneous liquid-liquid extraction and determination by flame atomic absorption spectrometry (FAAS). In this method, Cr(III) reacts with a new Schiff's base ligand to form the hydrophobic complex, which is subsequently entrapped in the sediment phase, whereas Cr(VI) remained in aqueous phase. The Cr(VI) assay is based on its reduction to Cr(III) by the addition of sodium sulfite to the sample solution. Thus, separation of Cr(III) and Cr(VI) could be realized. Homogeneous liquid-liquid extraction based on the pH-independent phase-separation process was investigated using a ternary solvent system (water-tetrabutylammonium ion ($TBA^+$)-chloroform) for the preconcentration of chromium. The phase separation phenomenon occurred by an ion-pair formation of TBA and perchlorate ion. Then sedimented phase was separated using a $100\;{\mu}L$ micro-syringe and diluted to 1.0 mL with ethanol. The sample was introduced into the flame by conventional aspiration. After the optimization of complexation and extraction conditions such as pH = 9.5, [ligand] = $1.0{\times}10^{-4}\;M$, [$TBA^+$] = $2.0{\times}10^{-2}\;M$, [$CHCl_3$] = $100.0\;{\mu}L$ and [$ClO_4$] = $2.0{\times}10{-2}\;M$, a preconcentration factor (Va/Vs) of 100 was obtained for only 10 mL of the sample. The relative standard deviation was 2.8% (n = 10). The limit of detection was sufficiently low and lie at ppb level. The proposed method was applied for the extraction and determination of chromium in natural water samples with satisfactory results.

Effects of A-solution on Halitosis and Oral Status in Preoperative NPO Patients (A-solution을 이용한 구강 가글링이 수술 전 금식 환자의 구취와 구강 상태에 미치는 효과)

  • Song, Ji-Ah;Hur, Myung-Haeng
    • Journal of Korean Academy of Nursing
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    • v.42 no.3
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    • pp.405-413
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    • 2012
  • Purpose: The aim of this study was to explore the effects of A-solution on halitosis and oral status in preoperative NPO patients. Methods: A nonequivalent control group, non-synchronized pretest-posttest design was used in this study. The participants in this study were 66 patients who were admitted for gynecologic surgery. The experimental treatment was to give oral gargling with A-solution, blended essential oils and diluted with distilled water. To identify the experimental treatment effects, halitosis, salivary pH, and oral status were measured by a portable halitosis detector, visual analogue scale, Bromo Thymol Blue (BTB), Bromo Cresol Purple (BCP) test paper and oral assessment guide. Data were analyzed using $X^2$-test, t-test with PASW 18.0 version. Results: Participants were homogeneous before experimental treatment. Objective halitosis in the experimental group, measured by a portable halitosis detector (t=-8.34, p<.001) was significantly lower than the control group. Subjective halitosis was significantly lower in the experimental group (t=-9.29, p<.001). Salivary pH was significantly different between two groups (t=8.81, p<.001). Oral status was significantly better in the experimental group (t=-13.31, p<.001). Conclusion: These findings indicate that oral gargling using A-solution is effective in reducing patient halitosis, and improving oral status.