• Title/Summary/Keyword: Incompressible Navier Stokes Equations

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Computation of Viscous Flows around a Two-dimensional Oscillating Airfoil ( Part 2. with Dynamic Stall ) (진동하는 2차원 날개 단면 주위에 대한 점성 유동장 계산( Part 2. 동적실속이 발생하는 경우 ))

  • Lee, Pyoung-Kuk;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.1 s.151
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    • pp.16-25
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    • 2007
  • Studies of unsteady-airfoil flows have been motivated mostly by efforts to avoid. or reduce such undesirable effects as flutter, noise and vibrations, dynamic stall. In this paper, we carry out a computational study of viscous flows around a two-dimensional oscillating airfoil to investigate unsteady effects in these important and challenging flows. A fully implicit incompressible RANS solver has been used for calculating unsteady viscous flows around an airfoil. The cell-centered End order finite volume method is utilized to discretize governing equations. in order to ease the flow computation for fluid region changing in time, improve the qualify of solution and simplify the grid generation for an oscillating airfoil flow, the computational method adopts a moving and deforming grid generation technique based on the multi-block grid topology. The numerical method is applied for calculating viscous flows of an oscillating NACA 0012 in uniform flow. The computational results are compared with available experimental data. Computed results are compared with experimental data and flow characteristics of the experiment are reproduced well In the computed results.

Electrohydrodynamic Analysis of Dielectric Guide Flow Due to Surface Charge Density Effects in Breakdown Region

  • Lee, Ho-Young;Kang, In Man;Lee, Se-Hee
    • Journal of Electrical Engineering and Technology
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    • v.10 no.2
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    • pp.647-652
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    • 2015
  • A fully coupled finite element analysis (FEA) technique was developed for analyzing the discharge phenomena and dielectric liquid flow while considering surface charge density effects in dielectric flow guidance. In addition, the simulated speed of surface charge propagation was compared and verified with the experimental results shown in the literature. Recently, electrohydrodynamics (EHD) techniques have been widely applied to enhance the cooling performance of electromagnetic systems by utilizing gaseous or liquid media. The main advantage of EHD techniques is the non-contact and low-noise nature of smart control using an electric field. In some cases, flow can be achieved using only a main electric field source. The driving sources in EHD flow are ionization in the breakdown region and ionic dissociation in the sub-breakdown region. Dielectric guidance can be used to enhance the speed of discharge propagation and fluidic flow along the direction of the electric field. To analyze this EHD phenomenon, in this study, the fully coupled FEA was composed of Poisson's equation for an electric field, charge continuity equations in the form of the Nernst-Planck equation for ions, and the Navier-Stokes equation for an incompressible fluidic flow. To develop a generalized numerical technique for various EHD phenomena that considers fluidic flow effects including dielectric flow guidance, we examined the surface charge accumulation on a dielectric surface and ionization, dissociation, and recombination effects.

Numerical Computation of Vertex Behind a Bluff Body in the Flow between Parallel Plates (평행평판 내의 지주에 의한 와동 유동에 관한 수치해석)

  • 김동성;유영환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1163-1170
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    • 1992
  • A computer program was developed to analyze the two-dimensional unsteady incompressible viscous flow behind a rectangular bluff body between two parallel plates. The Peaceman-Rachford alternating direction implicit numerical method and Wachspress parameter were adopted to solve the governing equations in vorticity-transport and stream function formulation. The steady state flow and the vortex flow behind a rectangular bluff body in a chemical were investigated for Reynolds numbers of 200 and 500. The vortex shedding was generated by a physical pertubation numerically imposed at the center of the flow field for a short time. It was observed that the perturbed flow became periodic after a transient period.

Heat Transfer Analysis of a Thermal Storage System using the Ice Capsule of Bar and Ring Module (봉과 링 조합형 아이스캡슐을 적용한 축열시스템의 열전달 해석)

  • Kim, Myoung-Su;Choi, Hyoung-Gwon;Byon, Sung-Kwang
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.2
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    • pp.268-275
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    • 2008
  • The shape and array of ice capsules are very important factors in ice thermal storage system because the heat transfer rate of the system strongly depends upon them. In this paper, a new type of ice capsule composed of bar and ring module is proposed to increase the efficiency of the ice thermal storage system. To investigate the heat transfer rate of the proposed ice capsule, numerical analysis of the incompressible Navier-Stokes equations is performed to compare the proposed bar and ring system with the conventional ice capsules. It is shown that the ice capsule composed of bar and ring has a higher heat transfer rate and a low outlet temperature than the conventional ice capsules for various packing ratios and entrance velocities. Furthermore, it is found that the optimal entrance velocity exists between 0.005 m/s and 0.007 m/s from the present numerical analysis.

Partitioned coupling strategies for fluid-structure interaction with large displacement: Explicit, implicit and semi-implicit schemes

  • He, Tao
    • Wind and Structures
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    • v.20 no.3
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    • pp.423-448
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    • 2015
  • In this paper the unsteady fluid-structure interaction (FSI) problems with large structural displacement are solved by partitioned solution approaches in the arbitrary Lagrangian-Eulerian finite element framework. The incompressible Navier-Stokes equations are solved by the characteristic-based split (CBS) scheme. Both a rigid body and a geometrically nonlinear solid are considered as the structural models. The latter is solved by Newton-Raphson procedure. The equation governing the structural motion is advanced by Newmark-${\beta}$ method in time. The dynamic mesh is updated by using moving submesh approach that cooperates with the ortho-semi-torsional spring analogy method. A mass source term (MST) is introduced into the CBS scheme to satisfy geometric conservation law. Three partitioned coupling strategies are developed to take FSI into account, involving the explicit, implicit and semi-implicit schemes. The semi-implicit scheme is a mixture of the explicit and implicit coupling schemes due to the fluid projection splitting. In this scheme MST is renewed for interfacial elements. Fixed-point algorithm with Aitken's ${\Delta}^2$ method is carried out to couple different solvers within the implicit and semi-implicit schemes. Flow-induced vibrations of a bridge deck and a flexible cantilever behind an obstacle are analyzed to test the performance of the proposed methods. The overall numerical results agree well with the existing data, demonstrating the validity and applicability of the present approaches.

Lock-in and drag amplification effects in slender line-like structures through CFD

  • Belver, Ali Vasallo;Iban, Antolin Lorenzana;Rossi, Riccardo
    • Wind and Structures
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    • v.15 no.3
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    • pp.189-208
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    • 2012
  • Lock-in and drag amplification phenomena are studied for a flexible cantilever using a simplified fluid-structure interaction approach. Instead of solving the 3D domain, a simplified setup is devised, in which 2D flow problems are solved on a number of planes parallel to the wind direction and transversal to the structure. On such planes, the incompressible Navier-Stokes equations are solved to estimate the fluid action at different positions of the line-like structure. The fluid flow on each plane is coupled with the structural deformation at the corresponding position, affecting the dynamic behaviour of the system. An Arbitrary Lagrangian-Eulerian (ALE) approach is used to take in account the deformation of the domain, and a fractional-step scheme is used to solve the fluid field. The stabilization of incompressibility and convection is achieved through orthogonal quasi-static subscales, an approach that is believed to provide a first step towards turbulence modelling. In order to model the structural problem, a special one-dimensional element for thin walled cross-section beam is implemented. The standard second-order Bossak method is used for the time integration of the structural problem.

Computation of Pressure Fields for a Hybrid Particle-Mesh Method (하이브리드 입자-격자 방법에서의 압력장 계산)

  • Lee, Seung-Jae;Suh, Jung-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.4
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    • pp.328-333
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    • 2014
  • A hybrid particle-mesh method based on the vorticity-velocity formulation for solving the incompressible Navier-Stokes equations is a combination of the Vortex-In-Cell(VIC) method for convection and the penalization method for diffusion. The key feature of the numerical methods is to determine velocity and vorticity fields around a solid body on a temporary grid, and then the time evolution of the flow is computed by tracing the convection of each vortex element using the Lagrangian approach. Assuming that the vorticity and velocity fields are to be computed in time domain analysis, pressure fields are estimated through a complete set of solutions at present time step. It is possible to obtain vorticity and velocity fields prior to any pressure calculation since the pressure term is eliminated in the vorticity-velocity formulation. Therefore, pressure field is explicitly treated by solving a suitable Poisson equation. In this paper, we propose a simple way to numerically implement the vorticity-velocity-pressure formulation including a penalty term. For validation of the proposed numerical scheme, we illustrate the early development of viscous flows around an impulsive started circular cylinder for Reynolds number of 9500.

Calculations of Incompressible Flows In General Nonorthogonal Body Fitted Coordinates: Comparison of Hybrid and QUICK Sehemes (일반 비직교 표면좌표계에서의 비압축성 점성유동의 수치해석)

  • Gang, Dong-Jin;Bae, Sang-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.5
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    • pp.1613-1623
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    • 1996
  • In this paper, two discretization methods, hybrid and QUICK, are tested for the Navier-Stokes equations written in general nonorthogonal body fitted coordinates. Comparison is made by calculating two laminar flows at low Reynolds numbers of 10 - 100. One is a two-dimensional channel of gradually expanding cross section and the other is an axisymmetric flow through a circular tube having a circular constriction. Results show that the QUICK scheme results in a numerical solution more accurate than that of hybrid. The QUICK scheme also shows faster convergence for both test cases. As the number of grid points increases, all numerical solutions converge with more oscillation. The number of grid points in the y-direction(cross stream direction) is also shown to play a significant role in the approximation of convection term within separated flow zone.

THREE-DIMENSIONAL FLOW COMPUTATION AND PERFORMANCE CHARACTERISTICS ANALYSIS OF PROPELLERS FOR WATER TREATMENT MIXER (수처리 교반기용 프로펠러의 3차원 유동 전산 해석 및 성능 특성 분석)

  • Bae, Y.G.;Kim, D.H.;Hwang, S.T.;Moon, Y.J.
    • Journal of computational fluids engineering
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    • v.20 no.1
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    • pp.10-15
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    • 2015
  • In this study, the characteristics of water treatment mixer with various propeller profiles are numerically invesitgated. The computation was conducted by solving the incompressible Navier-Stokes equations on unstructured tetrahedral elements with k-${\varepsilon}$ turbulence model. It was found that the spreading angle and swirl magnitude of the jet are important factors for the mixer efficiency, since they clearly characterize the propeller and the frontal surface area of the propeller but not so much affected by the skew angle if it exceeds 30 degrees. The case1 and case2 models are found to show the best propeller efficiency. The case2 with low blade angle, however, requires the lowest power input for the same discharge capacity as the case1.

A NUMERICAL STUDY ON THE CONJUGATE HEAT TRANSFER OF AN OIL COOLER WITH OFFSET STRIP FINS FOR VARIOUS-FLOW RATES (오일의 유량 변화와 오프셋 스트립 휜을 고려한 오일쿨러의 복합열전달 해석)

  • Park, S.W.;Choi, H.G.
    • Journal of computational fluids engineering
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    • v.19 no.1
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    • pp.34-40
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    • 2014
  • Conjugate heat transfer of an automotive oil cooler with offset-strip fins was numerically investigated to predict the performance of the oil cooler for various flow-rates. The simulations were conducted by directly modeling offset-strip fins with unstructured meshes. The incompressible Navier-Stokes equations coupled with energy equation were used for the present simulations. Heat transfer characteristics of the oil cooler was compared well with experimental results and the errors were approximately within 5 percents. It was found that the performance of the oil cooler increased as the flow-rate increased up to the flow-rate of 12 L/min, but the performance seemed to be saturated beyond a critical flow-rate, which was estimated as 15 L/min. Furthermore, it was confirmed that compared to the performance without fins, that of the oil cooler with offset-strip fins was increased by about 75 percents.