• Title/Summary/Keyword: Two-fluid equation

검색결과 421건 처리시간 0.028초

밀도가 다른 두 유체 층의 경계면에서 발생하는 내부파의 특성에 대하여 (On the Characteristics of Internal Waves between Two Stratified Fluid Layers)

  • 김도영;김장환
    • 대한조선학회논문집
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    • 제34권3호
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    • pp.1-8
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    • 1997
  • 두개의 서로 다른 밀도를 가지는 유체의 경계면에서 발생하는 내부고립파의 특성에 대하여 검토하였다. 해밀톤원리를 이용하여 내부고립파 문제의 지배방정식을 얻었다 이 지배방정식을 이용하여 고립파의 파고와 전파속도의 관계식을 얻었으며 계산된 전파속도는 실험 결과와 잘 일치하는 것을 보였다. 내부고립파가 전파 가능한 속도 영역이 존재하며, 전파속도의 최소값과 최대값을 두 층의 수심비와 밀도비의 함수로 나타내었다. 파고가 주어진 경우 KdV방정식에 의해서 계산된 전파속도는 실제보다 큰 값을 주며, 전파속도를 가지고 파고를 계산한 경우에는 실제보다 작은 값을 준다.

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Hall Effect on Unsteady Couette Flow. with Heat Transfer Under Exponential Decaying Pressure Gradient

  • Attia HazemAIi
    • Journal of Mechanical Science and Technology
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    • 제19권11호
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    • pp.2053-2060
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    • 2005
  • The unsteady Couette flow of an electrically conducting, V1SCOUS, incompressible fluid bounded by two parallel non-conducting porous plates is studied with heat transfer taking the Hall effect into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

제한면을 가지는 이차원 난류 충돌젯트의 유동 및 열전달 특성의 수치적 연구 (A Numerical Study of the Fluid Flow and Heat Transfer Characteristics of the Two-Dimensional Turbulent Impingement Jet with a Confinement Plate)

  • 강동진;오원태
    • 대한기계학회논문집
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    • 제19권7호
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    • pp.1675-1683
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    • 1995
  • A numerical study of the fluid flow and heat transfer characteristics of the two-dimensional impingement jet with a confinement plate has been carried out. The fluid flow was calculated by solving the full Navier-Stokes equation. In doing that, the well known SIMPLER algorithm was used and the trouble making convection term was discretized according to QUICKER scheme. The energy equation was simply solved by using the SOR method. For the Reynolds number of 10000, two channel heights, say 1.5 and 3.0 times the jet exit width, and two thermal boundary conditions constant wall temperature and constant wall heat flux were considered. Discrete heat sources were flush mounted along the impingement plate at a distance of 0, 2, 3, 4, 5, 6, 10, 12, times the jet exit width from the stagnation point. The length of each heat source is 4 times the jet exit width long. The Nusselt number averaged over each heat source was compared with experiment. Comparison shows that both calculations and experiment have the secondary peak of Nusselt number at downstream of stagnation point, even though there is a little quantitative difference in between. The difference is believed due to abscure thermal boundary condition in experiment and also accuracy of turbulence model used. The secondary peak is shown to be caused by rigorous turbulent flow motion generated as the wall jet flow is retarded and developes into the channel flow without flow reversal.

Detection of crack in L-shaped pipes filled with fluid based on transverse natural frequencies

  • Murigendrappa, S.M.;Maiti, S.K.;Srirangarajan, H.R.
    • Structural Engineering and Mechanics
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    • 제21권6호
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    • pp.635-658
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    • 2005
  • The possibility of detecting a crack in L-shaped pipes filled with fluid based on measurement of transverse natural frequencies is examined. The problem is solved by representing the crack by a massless rotational spring, simulating the out-of-plane transverse vibration only without solving the coupled torsional vibration and using the transfer matrix method for solution of the governing equation. The theoretical solutions are verified by experiments. The cracks considered are external, circumferentially oriented and have straight front. Pipes made of aluminium and mild steel are tested with water as internal fluid. Crack size to pipe thickness ratio ranging from 0.20 to 0.57 and fluid (gauge) pressure in the range of 0 to 10 atmospheres are examined. The rotational spring stiffness is obtained by an inverse vibration analysis and deflection method. The details of the two methods are given. The results by the two methods are presented graphically and show good agreement. Crack locations are also determined by the inverse analysis. The maximum absolute error in the location is 13.80%. Experimentally determined variation of rotational spring stiffness with ratio of crack size to thickness is utilized to predict the crack sizes. The maximum absolute errors in prediction of crack size are 17.24% and 16.90% for aluminium and mild steel pipes respectively.

2-유체 모델을 위한 '개선된 Semi-Implicit 기법' (Advanced Semi-Implicit Method (ASIM) for Hyperbolic Two-Fluid Model)

  • 이성재;정문선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.2005-2011
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    • 2003
  • Introducing the interfacial pressure jump terms based on the surface tension into the momentum equations of two-phase two-fluid model, the system of governing equations is turned mathematically into the hyperbolic system. The eigenvalues of the equation system become always real representing the void wave and the pressure wave propagation speeds as shown in the previous manuscript. To solve the interfacial pressure jump terms with void fraction gradients implicitly, the conventional semi-implicit method should be modified as an intermediate iteration method for void fraction at fractional time step. This advanced semi-implicit method (ASIM) then becomes stable without conventional additive terms. As a consequence, including the interfacial pressure jump terms with the advanced semi-implicit method, the numerical solutions of typical two-phase problems can be more stable and sound than those calculated exclusively by using any other terms like virtual mass, or artificial viscosity.

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A Numerical Study on the Performance of a Two-Stage Ejector-Diffuser System

  • Kong, Fanshi;Kim, Heuy Dong
    • Journal of Advanced Marine Engineering and Technology
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    • 제39권5호
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    • pp.548-553
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    • 2015
  • The conventional ejector-diffuser system makes use of high pressure primary stream to propel the secondary stream through pure shear action for the purposes of transport or compression of fluid. It has been widely used in many industrial applications such as seawater desalination, solar refrigeration, marine engineering, etc. The present study is performed numerically to study the performance of a two-stage ejector-diffuser system. The detailed flow phenomenon of the ejector-diffuser system has been critically predicted by means of the numerical approach using compressible Reynolds averaged Navier-Stokes (RANS) equations. The axi-symmetric supersonic ejector-diffuser flow has been solved by a fully implicit finite volume scheme with a two-equation k-omega turbulence model. The numerical results are validated with existing experimental data. Detailed flow physics and their contributions on ejector performance are detected to compare both single-stage and two-stage ejectors. The performance improvement on the ejector-diffuser system is discussed in terms of the mass flux ratio and the coefficient of power.

외부로 휜이 있는 수직이중관내의 조합대류 유동에 관한 수치적 연구 (Numerical Analysis on Combined Convection for a Vertical Cocentric Cylinder with External Fins)

  • 손상석;이채문;임장순
    • 대한설비공학회지:설비저널
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    • 제14권2호
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    • pp.118-124
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    • 1985
  • The motion of a fluid in the closed annular cavity formed by two concentric vertical cylinders with externally finned tube has been analysed by a numerical solutions of the equation of momentum and energy. For the calculation procedure, the fluid is assumed to have constant thermo-dynamic and transporties except for the density, which is temperature-dependent in the buoyancy term of the vertical momentum equation (Boussinesq approximation). The govern ins equations for velocity and temperature are solved by a finite difference technique which incoorporates a scheme for treating the coupled variables. Results are presented for a range of the Rayleigh number and for various values of the fin height and the number of fins.

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전산유체역학을 이용한 실시간 유체 애니메이션 기술 (Real-time Flow Animation Techniques Using Computational Fluid Dynamics)

  • 강문구
    • 한국가시화정보학회지
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    • 제2권2호
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    • pp.8-15
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    • 2004
  • With all the recent progresses in computer hardware and software technology, the animation of fluids in real-time is still among the most challenging issues of computer graphics. The fluid animation is carried out in two steps - the physical simulation of fluids immediately followed by the visual rendering. The physical simulation is usually accomplished by numerical methods utilizing the particle dynamics equations as well as the fluid mechanics based on the Navier-Stokes equations. Particle dynamics method is usually fast in calculation, but the resulting fluid motion is conditionally unrealistic. The methods using Navier-Stokes equation, on the contrary, yield lifelike fluid motion when properly conditioned, yet the complexity of calculation restrains this method from being used in real-time applications. This article presents a rapid fluid animation method by using the continuum-based fluid mechanics and the enhanced particle dynamics equations. For real-time rendering, pre-integrated volume rendering technique was employed. The proposed method can create realistic fluid effects that can interact with the viewer in action, to be used in computer games, performances, installation arts, virtual reality and many similar multimedia applications.

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코클리어 기저막 운동의 2차원 모델 해석 (Two-dimensional Model Analysis on Cochlear Basilar Membrane Motion)

  • 유선국;백승화;박상희
    • 대한의용생체공학회:의공학회지
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    • 제5권2호
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    • pp.161-166
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    • 1984
  • In this paper, we describe an effective technique for computing the steady-state motion in a two-dimensional cochlear model. With the cochlear fluid assumed incompressible and invisid, the problem reduces to solving an integral equation for a region with yielding boundary. Using the conformal mapping, Jacobian elliptic function and hyperbolic function, a pair of second-order differential equation is derived. What we will show in this paper is that by appropriately transforming integral equation, the same computation can be performed with comparable accuracy in a short time.

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NUMERICAL IMPLEMENTATION OF THE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION

  • CHOI, YONGHO;JEONG, DARAE;LEE, SEUNGGYU;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.103-121
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    • 2015
  • In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier-Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), pp. 745-762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.