• Title/Summary/Keyword: Dual solutions

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A study on the discharge ratio of two solutions with different viscosities using computational fluid analysis (전산유체해석을 이용한 점도가 다른 이종 용액의 토출 비율 연구)

  • Ko, Min-Sung;Wi, Eun-Chan;Yun, Yi-Seob;Kong, Jung-Shik;Lee, Joong-Bae;Kim, Min-Su;Baek, Seung-Yub
    • Design & Manufacturing
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    • v.15 no.4
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    • pp.43-50
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    • 2021
  • Pump-cap is a device for discharging the contents stored inside a container to the outside of the container by a simple operation by a certain amount. In particular, in recent years, as the number of cosmetic products made of functional materials has rapidly increased, the development of convenient containers for functional materials is being actively conducted. Among these, there are a growing number of products that show their efficacy only by mixing two components, so the development of a dual pump cap container is necessary. However, the conventional dual pump cap container has a problem in that it is difficult to implement a quantitative discharge as solutions having different viscosities are used. Therefore, in this study, a discharge port of a dual pump cap that can apply an optimal ratio was designed by analyzing the discharge amount of two components with different viscosities through computational fluid dynamics. Since the discharge amount is affected by the size of the discharge port, the higher the viscosity of the solution, the larger the discharge port should be set. Conversely, the lower the viscosity, the smaller the discharge port should be. Through this, it is possible to dispense a fixed amount of a heterogeneous solution by one pumping, and it is determined that the user's convenience will increase.

Dual NLMS Type Feedback Interference Cancellation Method in RF Repeater System (무선 중계기에서의 Dual NLMS 방식 궤한 간섭 제거 방법)

  • Park, Won-Jin;Park, Yong-Seo;Hong, Een-Kee
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.2A
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    • pp.91-99
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    • 2011
  • Several repeater systems are used to enhance the cell coverage to location such as shadow and rural areas in mobile systems. But the general RF repeater solutions are not suitable for high power outdoor environment because it has the weakness such as self oscillation problem With adoption of a adaptive digital filter technology, feedback interference cancellation repeater prevents oscillation by detecting and canceling the unwanted feedback signal between transmission and receiver antenna. In this paper, dual NLMS based interference cancellation method is proposed and the step size adaptation can be implemented by the estimation of the feedback channel Doppler frequency characteristics. The performance of the proposed algorithm is quantified via analysis and simulation for the static and multipath fading feedback channels.

Dual Barriers: A Theoretical Approach on Convergent Perspective of Correctional Welfare and Vocational Rehabilitation for People with Disabilities (Dual Barriers: 교정복지와 장애인 직업재활의 융합적 관점에 관한 이론적 고찰)

  • Shin, Sook-Kyung
    • Journal of the Korea Convergence Society
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    • v.10 no.7
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    • pp.289-294
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    • 2019
  • In order to prevent recidivism of ex-offenders, this paper needs to provide various ways of helping out-of-pocket-survivors adapt to the local community. One of solutions is the employment link through appropriate vocational training. A recent study from the US Department of Justice found that about 60% of ex-offenders unemployed for one year after their release. In such a situation, the employment possibility of ex-offenders with disabilities may even lower, so called "Dual Barriers". The purpose of this study is to present strategies to reduce the recidivism rate and increase the employment possibility of ex-offenders with disabilities presenting the cases in in the United States through literature reviews related.

TRIPLE SOLUTIONS IN NATURAL CONVECTION OF A FLUID IN A HORIZONTAL ANNULUS WITH CONSTANT TEMPERATURE WALLS (일정 온도 벽면을 갖는 수평 환형공간 내의 유체의 자연 대류에서의 삼중해)

  • Yoo, Joo-Sik
    • Journal of computational fluids engineering
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    • v.22 no.1
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    • pp.110-115
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    • 2017
  • Natural convection of a fluid with the Prandtl number of 7(water) in a horizontal annulus with constant temperature walls is numerically investigated. The inner cylinder is hotter than the outer cylinder. The flows are classified by the number of eddies in a half annulus. It is found that dual or triple solutions exists above a critical Rayleigh number for an annulus with a aspect ratio $D_i/L=4$. Transitions of $3{\rightarrow}1$ and $2{\rightarrow}1$ eddy flow occur with decrease of Rayleigh number. However, reverse transitions of $1{\rightarrow}3$ and $1{\rightarrow}2$ eddy flow do not occur with increase of Rayleigh number, and no hysteresis phenomenon is observed. In the regime of triple solutions, the 3 eddy flow has the largest mean Nusselt number value and the 1 eddy flow has the smallest value.

Multiple Solutions for Natural Convection Between Two Horizontal Plates with Periodic Temperatures (주기적인 온도를 갖는 두 수평 평판 사이에서 자연 대류에 대한 다중해)

  • Yoo, Joo-Sik;Kim, Yong-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.11
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    • pp.1440-1448
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    • 2004
  • Multiple solutions in natural convection of air (Pr=0.7) between two horizontal walls with mean temperature difference and the same periodic nob-uniformities are investigated. An analytical solution is found for small Rayleigh number, and the general solution is investigated by using a numerical method. In the conduction-dominated regime, two upright cells are formed between two walls over one wave length. When the wave number is small, the flow becomes unstable with increase of the Rayleigh number, and multicellular convection occurs above a critical Rayleigh number. The multicellular flows at high Rayleigh numbers consist of approximately square-shape cells. And several kinds of multiple flows classified by the number of cells are found.

EFFECTS OF PHASE-LAGS AND VARIABLE THERMAL CONDUCTIVITY IN A THERMOVISCOELASTIC SOLID WITH A CYLINDRICAL CAVITY

  • Zenkour, Ashraf M.
    • Honam Mathematical Journal
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    • v.38 no.3
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    • pp.435-454
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    • 2016
  • This paper investigates the effect of dual-phase-lags on a thermoviscoelastic orthotropic solid with a cylindrical cavity. The cylindrical cavity is subjected to a thermal shock varying heat and its material is taken to be of Kelvin-Voigt type. The phase-lag thermoelastic model, Lord and Shulman's model and the coupled thermoelasticity model are employed to study the thermomechanical coupling, thermal and mechanical relaxation (viscous) effects. Numerical solutions for temperature, displacement and thermal stresses are obtained by using the method of Laplace transforms. Numerical results are plotted to illustrate the effect phase-lags, viscoelasticity, and the variability thermal conductivity parameter on the studied fields. The variations of all field quantities in the context of dual-phase-lags and coupled thermoelasticity models follow similar trends while the Lord and Shulman's model may be different. The influence of viscosity parameter and variability of thermal conductivity is very pronounced on temperature and thermal stresses of the thermoviscoelastic solids.

Computation of dynamic stiffness and flexibility for arbitrarily shaped two-dimensional membranes

  • Chen, J.T.;Chung, I.L.
    • Structural Engineering and Mechanics
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    • v.13 no.4
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    • pp.437-453
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    • 2002
  • In this paper, dynamic stiffness and flexibility for circular membranes are analytically derived using an efficient mixed-part dual boundary element method (BEM). We employ three approaches, the complex-valued BEM, the real-part and imaginary-part BEM, to determine the dynamic stiffness and flexibility. In the analytical formulation, the continuous system for a circular membrane is transformed into a discrete system with a circulant matrix. Based on the properties of the circulant, the analytical solutions for the dynamic stiffness and flexibility are derived. In deriving the stiffness and flexibility, the spurious resonance is cancelled out. Numerical aspects are discussed and emphasized. The problem of numerical instability due to division by zero is avoided by choosing additional constraints from the information of real and imaginary parts in the dual formulation. For the overdetermined system, the least squares method is considered to determine the dynamic stiffness and flexibility. A general purpose program has been developed to test several examples including circular and square cases.

Primal-Dual Neural Network for Linear Programming (선형계획을 위한 쌍대신경망)

  • 최혁준;장수영
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.1
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    • pp.3-16
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    • 1992
  • We present a modified Tank and Hopfield's neural network model for solving Linear Programming problems. We have found the fact that the Tank and Hopfield's neural circuit for solving Linear Programming problems has some difficulties in guaranteeing convergence, and obtaining both the primal and dual optimum solutions from the output of the circuit. We have identified the exact conditions in which the circuit stops at an interior point of the feasible region, and therefore fails to converge. Also, proper scaling of the problem parameters is required, in order to obtain a feasible solution from the circuit. Even after one was successful in getting a primal optimum solution, the output of the circuit must be processed further to obtain a dual optimum solution. The modified model being proposed in the paper is designed to overcome such difficulties. We describe the modified model and summarize our computational experiment.

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ON DUALITY THEOREMS FOR MULTIOBJECTIVE PROGRAMS

  • Kim, Do-Sang;Lee, Gue-Myung
    • East Asian mathematical journal
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    • v.5 no.2
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    • pp.209-213
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    • 1989
  • The efficiency(Pareto optimum) is a type of solutions for multiobjective programs. We formulate duality relations for multiobjective nonlinear programs by using the concept of efficiency. The results are the weak and strong duality relations for a vector dual of the Wolfe type involving invex functions.

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DUALITY FOR MULTIOBJECTIVE FRACTIONAL CONTROL PROBLEMS WITH GENERALIZED INVEXITY

  • Nahak, C.;Nanda, S.
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.475-488
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    • 1998
  • Wolfe and Mond-Weir type duals for multiobjective con-trol problems are formulated. Under pseudo-invexity/quasi-invexity assumptions of the functions involved, weak and strong duality the-orems are proved to relate efficient solutions of the primal and dual problems.