• Title/Summary/Keyword: Solution flow

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전력시스템 경제부하배분의 단발적 해법 (A Single Step Solution of Economic Load Dispatch in Power System)

  • 이봉용;심건보
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 추계학술대회 논문집 학회본부
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    • pp.15-17
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    • 1994
  • The economic operation in power systems has long been in keen interests for power system engineers. The classical equal incremental fuel cost rule is still the basis for it, even though more elaborate tools such as optimal power flow have been developed already. The classical method requires usually many iterations, while the optimal power flow shows often some difficulties. This paper suggests a single step solution based on the classical method revisited. The concept is shown graphically. Three sample systems are compared. The proposed approach has shown a single step solution regardless system sizes, while the conventional methods require many iterations.

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EXACT SOLUTION FOR STEADY PAINT FILM FLOW OF A PSEUDO PLASTIC FLUID DOWN A VERTICAL WALL BY GRAVITY

  • Alam, M.K.;Rahim, M.T.;Islam, S.;Siddiqui, A.M.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제16권3호
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    • pp.181-192
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    • 2012
  • Here in this paper, the steady paint film flow on a vertical wall of a non-Newtonian pseudo plastic fluid for drainage problem has been investigated. The exact solution of the nonlinear problem is obtained for the velocity profile. Also the average velocity, volume flux, shear stress on the wall, force to hold the wall in position and normal stress difference have been derived. We retrieve Newtonian case, when material constant ${\mu}_1$ and relaxation time ${\lambda}_1$ equal zero. The results for co-rotational Maxwell fluid is also obtained by taking material constant ${\mu}_1$ = 0. The effect of the zero shear viscosity ${\eta}_0$, the material constant ${\mu}_1$, the relaxation time ${\lambda}_1$ and gravitational force on the velocity profile for drainage problem are discussed and plotted.

Penetration behavior of biopolymer aqueous solutions considering rheological properties

  • Ryou, Jae-Eun;Jung, Jongwon
    • Geomechanics and Engineering
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    • 제29권3호
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    • pp.259-267
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    • 2022
  • The rheological and penetration characteristics of sodium alginate and xanthan gum aqueous solutions were analyzed for the development of biopolymer-based injection materials. The results of viscosity measurements for the rheological characteristics analysis show that all aqueous biopolymer solutions exhibit a tendency for shear-thinning, i.e., the apparent viscosity decreases as the shear rate increases. In addition, a regression analysis using several models (Power-law, Casson, Sisko, and Cross) was applied to the shear-thinning fluid analysis results, the highest accuracy was determined by applying the power-law model. The micromodel experiment for the penetration characteristics analysis determined that all biopolymer aqueous solutions show higher pore saturation than water, and that pore saturation tends to increase as the flow rate and concentration increases. When comparing the rheological and penetration characteristics of the biopolymer aqueous solution used in this study, the xanthan gum aqueous solution showed a fully developed shear-thinning tendency, unlike the sodium alginate aqueous solution. This tendency is considered to have the advantage of enhancement injectability and pore saturation.

Ion Slip Effect on the Flow Due to a Rotating Disk with Heat Transfer

  • Attia Hazem Ali
    • Journal of Mechanical Science and Technology
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    • 제20권12호
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    • pp.2197-2202
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    • 2006
  • The steady hydromagnetic flow due to a rotating disk is studied with heat transfer considering the ion slip. The governing equations are solved numerically using finite differences. The results show that the inclusion of the ion slip has important effects on the velocity distribution as well as the heat transfer.

CONSUMPTION-LEISURE CHOICE WITH STOCHASTIC INCOME FLOW

  • Lee, Ho-Seok;Lim, Byung Hwa
    • 충청수학회지
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    • 제33권1호
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    • pp.103-112
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    • 2020
  • This paper investigates the portfolio selection problem with flexible labor choice and stochastic income flow where the unit wage flow is governed by a stochastic process. The agent optimally chooses consumption, investment, and labor supply. We derive the closed-form solution by applying a martingale method even with the stochastic income flow.

마이크로채널 탈수소 화학반응기에서 수소화붕소나트륨 수용액의 계면마찰에 대한 실험연구 (Experimental Study of Interfacial Friction in NaBH4 Solution in Microchannel Dehydrogenation Reactor)

  • 최석현;황승식;이희준
    • 대한기계학회논문집B
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    • 제38권2호
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    • pp.139-146
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    • 2014
  • 수소화붕소나트륨은 수소 에너지를 저장 및 공급할 수 있는 안정된 금속 물질이다. 본 논문에서는 탈수소 화학반응기 유로 설계를 위해 수력학적 직경 $461{\mu}m$를 가지는 마이크로채널에서 수소화붕소나트륨 수용액의 탈수소 화학반응이 일어날 때 수용액과 수소 기체 간의 이상유동 계면마찰에 대하여 실험연구를 수행하였다. 화학반응기 마이크로채널은 직사각 단면으로 높이 $300{\mu}m$, 너비 1 mm, 길이 50 mm 로 실리콘 웨이퍼에 공정되었으며, 가수분해 촉진을 위해 루테늄을 촉매로서 100 nm 두께로 채널 표면에 증착하였다. 가시화 결과 Re 수 30 이하에서 기포유동 양상이 관측되었다. 이상마찰승수는 기포율에 선형적으로 비례하며, 탈수소 화학반응기를 설계할 때 계면마찰에 영향을 미치는 수용액의 초기농도, 촉매 화학반응률, 체류시간을 고려해야 된다.

합성세제와 계면활성 성분의 과채류 및 식기류 잔류성에 관한 연구 (A Study on the Remainity of Synthetic Detergent and Commercial Surfactant on the Fruits, Vegetables and Tablewares)

  • 홍사욱;라규환;이길철;전성주
    • Environmental Analysis Health and Toxicology
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    • 제7권1_2호
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    • pp.67-87
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    • 1992
  • Each detergent-solution in the concentration of 0.4% was prepared with four kinds of raw materials of detergents and two kinds of commercial surfactants for kitchen. LAS (Linear Alkyl Benzene Sulfonate), AOS ($\alpha$-O1effine Sulfonate), SLS (Sodium Lauryl Sulfonate) and SLE (Sodium Lauryl Ester Sulfonate) were used as the raw materials. Vegetables and fruits such as cucumber, crown daisy, lettuce, strawberry and tomatos were diped in each solution and washed 5 times in static or flow state. For the other experiments, tablewares such as porcelain, stainless bowls, glass and plastic cups were diped in each solution and washed also 5 times with cold and hot water in static or flow state. The residues of the detergents on the every steps of wash-conditions were measured. The results of this study were summarized as followings: 1. The residures of the detergents on the tested vegetables and fruits after 5 times washing were detected with the range from 0.450 to 7.120 ppm in static state and from 0.343 to 6.375 ppm in flow state. 2. The residures of the detergents on the tested tablewares after 5 times washing with cold water were observed with the range from 0.057 to 0.815 ppm in static state and from 0.066 to 0.905 ppm in flow state. 4. The residures of the detergents on the tested tablewares after 5 times washing with hot water were determined with the range from 0.061 to 0.424 ppm in static state and from 0.066 to 0.368 ppm in flow state. 4. Independent on detergent types, water temperatures and washing methods, the detergents were remained stablely on the porcelain; 0.057~0.815 ppm, on the stainless bowl; 0.061~0.905 ppm, on the glass cup; 0.0l4~0.592 ppm and on the plastic cup; 0.201~0.592 ppm.

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CONSEQUENCE OF BACKWARD EULER AND CRANK-NICOLSOM TECHNIQUES IN THE FINITE ELEMENT MODEL FOR THE NUMERICAL SOLUTION OF VARIABLY SATURATED FLOW PROBLEMS

  • ISLAM, M.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.197-215
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    • 2015
  • Modeling water flow in variably saturated, porous media is important in many branches of science and engineering. Highly nonlinear relationships between water content and hydraulic conductivity and soil-water pressure result in very steep wetting fronts causing numerical problems. These include poor efficiency when modeling water infiltration into very dry porous media, and numerical oscillation near a steep wetting front. A one-dimensional finite element formulation is developed for the numerical simulation of variably saturated flow systems. First order backward Euler implicit and second order Crank-Nicolson time discretization schemes are adopted as a solution strategy in this formulation based on Picard and Newton iterative techniques. Five examples are used to investigate the numerical performance of two approaches and the different factors are highlighted that can affect their convergence and efficiency. The first test case deals with sharp moisture front that infiltrates into the soil column. It shows the capability of providing a mass-conservative behavior. Saturated conditions are not developed in the second test case. Involving of dry initial condition and steep wetting front are the main numerical complexity of the third test example. Fourth test case is a rapid infiltration of water from the surface, followed by a period of redistribution of the water due to the dynamic boundary condition. The last one-dimensional test case involves flow into a layered soil with variable initial conditions. The numerical results indicate that the Crank-Nicolson scheme is inefficient compared to fully implicit backward Euler scheme for the layered soil problem but offers same accuracy for the other homogeneous soil cases.

소수성 마이크로 패턴을 갖는 Stripe 코팅용 슬롯 다이 헤드 구조 최적화 (Structure Optimization of a Slot-Die Head with a Hydrophobic Micro-Patterns for Stripe Coatings)

  • 유수호;이진영;박종운
    • 반도체디스플레이기술학회지
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    • 제18권2호
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    • pp.6-10
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    • 2019
  • In the presence of $\mu-tip$ for narrow stripe coating, there appears lateral capillary flow along the hydrophilic head lip because the $\mu-tip$ has some resistance to flow. It was known to be suppressed by increasing the contact angle of the head lip. In this paper, we have demonstrated by computational fluid dynamics(CFD) simulations that it can also be suppressed by the formation of micro-patterns on the shim and meniscus guide embedded into the slot-die head. To optimize the micro-patterned structure, we have performed simulations by varying the groove width, depth, and clearance. In the absence of micro-patterns, it is shown by experiment and simulation that the solution spreads to a distance of $1,300{\mu}m$ from the ${\mu}-tip$. In the presence of micro-patterns with the groove width and clearance of $50{\mu}m$, the distance the solution spreads is reduced to $260{\mu}m$. However, no further suppression in the capillary flow is observed with micro-patterns with the groove width of $40{\mu}m$ or less. It is also observed that the capillary flow is not affected by the groove depth if it is larger than $10{\mu}m$. We have shown that the distance the solution spreads can be reduced further to $204{\mu}m$ by coating a hydrophobic material (contact angle of $104^{\circ}$) on the surface of micro-patterns having the groove width and clearance of $50{\mu}m$.