• Title/Summary/Keyword: Periodic Flows

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Computational Study on the Characteristics of Nonlinear Wave Caused by Breaking Waves of Two-Dimensional Regular Periodic Wave (2차원 진행규칙파열에서의 쇄파현상에 따른 비선형성 파의 특성에 관한 수치적 연구)

  • 박종천;관전수명
    • Journal of Ocean Engineering and Technology
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    • v.10 no.3
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    • pp.50-61
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    • 1996
  • The breaking phenomenon of regular periodic waves generated by a numerical wave maker is simulated by finite-difference method which can cope with strong interface motions. The air and water flows are simultaneously solved in the time-marching solution procedure for the Navier-Stokes equation. A density-function technique is devised for the implemenation of the interface conditions. The accuracy is examined and applied to the simulation of two-dimensional breaking phenomena of periodic gravity waves.

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Numerical Study of Unsteady Mixed Convection in a Cavity with High Viscous Fluid (캐비티 내 고 점성유체의 비정상 흔합대류에 관한 수치해석적 연구)

  • Bae, D.S.;Cai, Long Ji
    • Journal of Power System Engineering
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    • v.13 no.5
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    • pp.11-17
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    • 2009
  • A numerical study of unsteady mixed convection in a cavity with high viscous fluid is presented. Finite volume method was employed for the discretization and PISO algorithm was used for calculating pressure term. The parameters governing the problem are the Rayleigh number ($10^3\;{\leq}\;Ra\;{\leq}\;10^5$), the Reynolds number (0 < Re $\leq$ 1), and the aspect ratio (0.5 $\leq$ AR $\leq$ 2). The fluid used is silicon oil, a high prandtl number fluid, Pr = 909.1. The results show velocity vectors and temperature distributions. It is found that the periodic flows in a cavity are observed at very low Reynolds numbers, and the period of periodic flow decreases with increasing Reynolds and Rayleigh numbers, and increases with increasing aspect ratio. Also, the Reynolds number range of periodic flow increases with increasing Rayleigh numbers and aspect ratio.

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Optimal design of batch-storage serial trains considering setup and inventory holding cost (준비비와 재고비를 고려한 직렬 비연속 공정과 중간 저장조의 최적설계)

  • Lee, Gyeong-Beom
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.4
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    • pp.398-405
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    • 1997
  • This article presents a new model which is called Periodic Square-Wave(PSW) to describe the material flow of the periodic processes involving intermediate buffer. The material flows incoming into and outgoing from the intermediate buffer are assumed to be periodic square shaped. PSW model gives the same result as that of Economic Production Quantity(EPQ) model for determining optimal lot size of single stage batch storage system. However, for batch storage serial train system, PSW model gives a different optimal solution of about 6 % reduced total cost. PSW model provides the more accurate information on inventory and production system than the classical approach by maintaining simplicity and increasing computational burden.

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Thermal Instability of Natural Convection in a Glass Melting Furnace (유리 용융로에서 자연대류의 열적 불안정성)

  • Lim, Kwang-Ok;Lee, Kwan-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.12
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    • pp.1774-1783
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    • 1998
  • The transition from steady laminar to chaotic convection in a glass melting furnace specified by upper surface temperature distribution has been studied by the direct numerical analysis of the two and three-dimensional time dependent Navier-Stokes equations. The thermal instability of convection roll may take place when modified Rayleigh number($Ra_m$) is larger than $9.71{\times}10^4$. It is shown that the basic flows in a glass melting furnace are steady laminar, unsteady periodic, quasi-periodic or chaotic flow. The dimensionless time scale of unsteady period is about the viscous diffusion time, ${\tau}_d=H^2/{\nu}_0$. Through primary and secondary instability analyses the fundamental unsteady feature in a glass melting furnace is well defined as the unsteady periodic or weak chaotic flow.

Global measures of distributive mixing and their behavior in chaotic flows

  • Tucker, Charles L.;Peters, Gerrit W.M.
    • Korea-Australia Rheology Journal
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    • v.15 no.4
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    • pp.197-208
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    • 2003
  • Two measures of distributive mixing are examined: the standard deviation $\sigma$ and the maximum error E, among average concentrations of finite-sized samples. Curves of E versus sample size L are easily interpreted in terms of the size and intensity of the worst flaw in the mixture. E(L) is sensitive to the size of this flaw, regardless of the overall size of the mixture. The measures are used to study distributive mixing for time-periodic flows in a rectangular cavity, using the mapping method. Globally chaotic flows display a well-defined asymptotic behavior: E and $\sigma$ decrease exponentially with time, and the curves of E(L) and $\sigma$ (L) achieve a self-similar shape. This behavior is independent of the initial configuration of the fluids. Flows with large islands do not show self-similarity, and the final mixing result is strongly dependent on the initial fluid configuration.

Transition of Natural Convective Flows in a Horizontal Cylindrical Annulus: Pr=0.2 (수평 원주형 환형 내에서의 자연 대류 유동의 천이: Pr=0.2)

  • Yu, Ju-Sik;Ha, Dae-Hong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.6
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    • pp.804-810
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    • 2001
  • Transition of flows in natural convection in a horizontal cylindrical annulus is investigated for the fluid with Pr=0.2. The unsteady streamfunction-vorticity equation is solved with finite difference method. As Rayleigh number is increased, the steady crescent-shaped eddy flow bifurcates to a time-periodic flow with like-rotating eddies. After the first Hopf bifurcation, however, a reverse transition from oscillatory to a steady flow occurs by the flow pattern variation. Hysteresis phenomenon occurs between the solution branches of up-scan and down-scan stages, and dual solutions with one steady and one oscillatory flow are found. Overall Nusselt of the flows at the flows at the down-scan stage is greater than that at the up-scan stage.

Petri Net Modeling and Analysis for Periodic Job Shops with Blocking

  • Lee, Tae-Eog;Song, Ju-Seog
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.04a
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    • pp.314-314
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    • 1996
  • We investigate the scheduling problem for periodic job shops with blocking. We develop Petri net models for periodic job shops with finite buffers. A buffer control method would allow the jobs to enter the input buffer of the next machine in the order for which they are completed. We discuss difficulties in using such a random order buffer control method and random access buffers. We thus propose an alternative buffer control policy that restricts the jobs to enter the input buffer of the next machine in a predetermined order. The buffer control method simplifies job flows and control systems. Further, it requires only a cost-effective simple sequential buffer. We show that the periodic scheduling model with finite buffers using the buffer control policy can be transformed into an equivalent periodic scheduling model with no buffer, which is modeled as a timed marked graph. We characterize the structural properties for deadlock detection. Finally, we develop a mixed integer programming model for the no buffer problem that finds a deadlock-free optimal sequence that minimizes the cycle time.

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Active Control Methods for Drag Reduction in Flow over Bluff Bodies (뭉툭한 물체 주위 유동에서 항력 감소를 위한 능동 제어 방법)

  • Choi Haecheon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.11-16
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    • 2002
  • In this paper, we present two successful results from active controls of flows over a circular cylinder and a sphere for drag reduction. The Reynolds number range considered for the flow over a circular cylinder is 40-3900 based on the free-stream velocity and cylinder diameter, whereas for the flow over a sphere it is $10^{5}$ based on the free-stream velocity and sphere diameter. The successful active control methods are a distributed (spatially periodic) forcing and a high-frequency (time periodic) forcing. With these control methods, the mean drag and lift fluctuations decrease and vortical structures are significantly modified. For example, the time-periodic forcing at a high frequency (larger than 20 times the vortex shedding frequency) produces $50{\%}$ drag reduction for the flow over a sphere at $Re=10^{5}$. The distributed forcing applied to the flow over a circular cylinder results in a significant drag reduction at all the Reynolds numbers investigated.

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Effect of periodic wakes on separated flows over a NACA0012 airfoil (주기적 통과 후류가 익형위 박리 유동에 미치는 영향)

  • Lee, Hui-Kang;Park, Tae-Choon;Jeon, Woo-Pyung;Kang, Shin-Hyoung
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1619-1624
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    • 2004
  • Experimental study of separated flow over a NACA0012 airfoil is conducted at $Re=2{\times}10^5$ when periodic wakes pass over the airfoil. The wakes are periodically generated by circular cylinders upstream of the airfoil. The measurement of surface pressure and surface visualization at various angles of attack are carried out without and with passing wakes. Without passing wakes, a separation bubble at the leading edge of the suction surface is formed at an angle of attack, found from a local plateau in the streamwise pressure distribution and two distinct lines in the surface flow visualization. With passing wakes, however, the bubble disappears. Owing to passing wakes, the lift increases at high angle of attack and the angle of stall also increases.

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Warehouse Inventory Control System Using Periodic Square Wave Model (다제품 저장창고의 재고관리를 위한 적응 모형예측 제어기)

  • Yi, Gyeongbeom
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.11
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    • pp.1076-1080
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    • 2015
  • An inventory control system was developed for a distribution system consisting of a single multiproduct warehouse serving a set of customers and purchasing products from multiple vendors. Purchase orders requesting multiple products are delivered to the warehouse in a process. The receipt of customer orders by the warehouse proceeded in order intervals and in order quantities that are subject to random fluctuations. The objective of warehouse operation is to minimize the total cost while maintaining inventory levels within the warehouse capacity by adjusting the purchase order intervals and quantities. An adaptive model predictive control algorithm was developed using a periodic square wave model to represent the material flows. The adaptive concept incorporated a stabilized minimum variance control-type input calculation coupled with input/output stream parameter predictions. The effectiveness of the scheme was demonstrated using simulations.