• Title/Summary/Keyword: Viscous Friction

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분포정수계 유압관로 모델의 동특성 해석 (Analysis of Dynamic Characteristics of Hydraulic Transmission Lines with Distributed Parameter Model)

  • 김도태
    • 드라이브 ㆍ 컨트롤
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    • 제15권4호
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    • pp.67-73
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    • 2018
  • The paper deals with an approach to time domain simulation for closed end at the downstream of pipe, hydraulic lines terminating into a tank and series lines with change of cross sectional area. Time domain simulation of a fluid power systems containing hydraulic lines is very complex and difficult if the transfer functions consist of hyperbolic Bessel functions which is the case for the distributed parameter dissipative model. In this paper, the magnitudes and phases of the complex transfer functions of hydraulic lines are calculated, and the MATLAB Toolbox is used to formulate a rational polynomial approximation for these transfer functions in the frequency domain. The approximated transfer functions are accurate over a designated frequency range, and used to analyze the time domain response. This approach is usefully to simulate fluid power systems with hydraulic lines without to approximate the frequency dependent viscous friction.

SORET AND ELECTROMAGNETIC RADIATION EFFECT OF MHD MICRO POLAR FLUID PAST A POROUS MEDIUM IN THE PRESENCE OF CHEMICAL REACTION

  • SHEEBA JULIET S.;VIDHYA, M.
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.1085-1102
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    • 2023
  • In this study the magneto hydrodynamic (MHD) micro polar fluid flow of a viscous incompressible fluid past a porous medium in the presence of chemical reaction is considered. This work is devoted to investigate the Soret effect and Electromagnetic radiation effect and analyze analytically. In the energy equation the applied magnetic field strength and in the concentration equation the Soret effect are incorporated. The basic PDE (partial differential equations) are reduced to ODE (ordinary differential equations) using non dimensional variables. Then the analytical solution of the dimensionless equations are found using perturbation technique. The features of the fluid flow parameters are analyzed, discussed and explained graphically. The graphical solutions are found using MATLAB R2019b. Skin friction coefficient at the wall, Couple stress coefficient at the plate and the local surface heat flux are also thoroughly examined. Overall, this study sheds light on the complex interplay between physical parameters in the behavior of MHD micro-polar fluid past a porous medium in the presence of chemical reaction.

Computation of boundary layer flow of porous medium based on finite difference method

  • Mohamed Amine Khadimallah;Mudassar Jalil;Muzamal Hussain;Elimam Ali
    • Advances in concrete construction
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    • 제17권1호
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    • pp.37-43
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    • 2024
  • In this paper, boundary layer flow is observed through stretching cylinder exponentially with non-linear velocity. This cylinder is rested in porous medium. Appropriate similarity transformation is employed for the conversion of governing PDEs into ODEs. To compute the problem and solution series numerical method is applied and evaluated by using finite difference Keller-Box method. The velocity ratio, permeability parameter, Reynold number is figure out to examine the effect of on velocity profile. Fluid velocity and skin friction coefficient goes down with increment of Reynold number and permeability parameter. While reverse behavior is reported for velocity ratio. The results are validated with earlier investigations and found very well.

Numerical simulation of dimensional changes during sintering of tungsten carbides compacts

  • Bouvard, D.;Gillia, O.
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 1997년도 추계학술강연 및 발표대회 강연 및 발표논문 초록집
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    • pp.7-7
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    • 1997
  • During sintering of very porous green bodies, as obtained by compaction of hard powders - such as tungsten carbide or ceramics - or by injection moulding, important shrinkage occurs. Due to heterogeneous green density field, gravity effects, friction on the support, thermal gradients, etc., this shrinkage is often non-uniform, which' may induce significant shape changes. As the ratio of compact dimension to powder size is very high, the mechanics of continuum is relevant to model such phenomena. Thus numerical techniques, such as the finite element method can be used to simulate the sintering process and predict the final shape of the sintered part. Such type of simulation has much been developed in the last decade firstly for hot isostatic pressing and next for die compaction. Finite element modelling has been recently applied to free sintering. The simulation of sintering should be based on constitutive equations describing the thermo-mechanical behaviour of the material under any state of stress and any temperature which may arise within the sintering body. These equations can be drawn either from experimental data or from micromechanical models. The experiments usually consist in free sintering and sinter-forging tests. Indeed applying more complex loading conditions at high temperature under controlled atmosphere is delicate. Micromechanical models describe the constitutive behaviour of aggregates of spheres from the deformation of two-sphere contact either by viscous flow or grain boundary diffusion. Such models are not able to describe complex microstructure and mechanisms as observed in real materials but they can give some basic information on the formulation of constitutive equations. Practically both experimental and theoretical approaches can be coupled to identify the constitutive equations. Such procedure has been performed for modelling the sintering of compacts obtained by die pressing of a mixture of tungsten carbide and cobalt powders. The constitutive behaviour of this material during sintering has been described by a linear viscous constitutive model, whose functions have been fitted from results of free sintering and sinter-forging experiments. This model has next been introduced in ABAQUS finite element code to simulate the sintering of heterogeneous green compacts of various geometries at constant temperature. Examples of simulations are shown and compared with experiments.

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점성을 고려한 2차원 비선형 자유표면파 문제의 수치해석 (Numeric Analysis of 2-Dimensional Nonlinear Viscous Free-Surface Wave Problems)

  • 김용환
    • 대한조선학회논문집
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    • 제30권2호
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    • pp.98-111
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    • 1993
  • 2차원 비정상 비선형 자유표면파를 해석하고 자유표면파에서의 점성효과를 관찰하였다. 유동장내의 Navier-Stokes 방정식과 연속방정식을 풀기 위해 유한해석법을 적용하였고, 자유표면의 처리를 위해 MAC 기법을 적용하였다. 그리고, 자유표면에서는 표면장력을 고려한 경계조건을 적용하였으며, 층류에 대한 점성효과만을 고려하였다. 계산모델은 천수역에서의 점성영향, 자유표면 근처에서의 보오텍스 쌍(vortex-pair)의 거동 및 전진하는 부유체 앞에서의 자유표면파문제 등이다. 천수역문제에서는 바닥과의 마찰에 기인한 자유표면파의 변화를 고찰하였으며, 특히 고립파에 대한 적용으로서 파고의 감소정도, 수직벽면에서의 파상승(wave run-up) 및 수심의 변화로 인한 유장변화 등을 살펴보았다. 보오텍스 문제에서는 보오텍스의 이동에 따른 자유표면주위의 유동변화를 관찰하였으며, 사각부유체 주위의 유동문제에서는 전진속도의 차이에 따른 자유표면파의 차이 및 물체주위의 유동특성을 관찰하였다.

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Tight Fit 콘택트렌즈 운동의 기초 (Fundamentals of Tight fitted Contact Lens Movement)

  • 김대수
    • 한국안광학회지
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    • 제14권3호
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    • pp.17-27
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    • 2009
  • 목적: Tight fit 상태에서 BC, 직경, 모서리각 등 하드(RGP 포함) 콘택트렌즈의 변수가 렌즈의 평형위치에 복귀하는 시간에 미치는 영향을 고찰하였다. 방법: Tight fit 상태에서 여러 렌즈 변수에 대해 렌즈의 평형위치 이탈 거리에 따른 복원력 및 렌즈 아래 눈물 층 두께를 계산할 수 있는 방정식을 세웠다. 이에 근거하여 눈깜빡임 후 매 순간 렌즈의 위치를 예측할 수 있는 미분방정식과 수치계산 프로그램 모델을 수립하였다. 이 컴퓨터 모델을 사용하여 렌즈 변수 변화에 따른 매 순간 렌즈 위치를 예측할 수 있었다. 결과: Tight fit 상태에서는 BC가 감소할수록, 직경이 커질수록 렌즈 아래 눈물 층의 간격이 두꺼워져 점성저항이 감소하며 결과 평형위치 복귀시간이 단축된다. Tight fit 렌즈는 모서리 각도가 증가할수록 복원력이 증가하여 평형위치 복귀시간이 단축된다. 이 경우 렌즈아래 눈물 층의 간격변화는 없다. Flat fit 상태에서 하드(RGP 포함) 렌즈는 BC가 증가할수록, 직경이 커질수록 렌즈 아래 눈물층의 간격이 두꺼워져 점성저항이 감소한다. 결과 평형위치 복귀시간이 단축된다. 이 경우 모서리각은 운동에 거의 영향을 끼치지 못한다. 결론: Tight 및 flat fit 상태 모두에서 BC가 렌즈운동(평형위치 복귀시간)에 영향을 미치며 그 효과는 서로 반대이다. 렌즈의 모서리각은 tight fit에서만 렌즈운동에 영향을 미친다.

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콘크리트 재료의 동적 물성 변화를 모사하기 위한 유변학적(Rheological)모델 개발 및 평가 (Rheological Models for Simulations of Concrete Under High-Speed Load)

  • 황영광;임윤묵
    • 대한토목학회논문집
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    • 제35권4호
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    • pp.769-777
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    • 2015
  • 본 연구에서는 속도 의존성을 나타내는 콘크리트의 인장거동을 모사하기 위하여 유변학적(rheological) 모델을 개발하였고 이를 평가하였다. 일반적으로 외부에서 가해지는 하중 속도가 증가할수록 콘크리트의 물성(강도, 탄성계수, 파괴에너지 등)은 그 크기가 증가한다. 콘크리트의 강도는 다른 물성에 비하여 큰 속도의존성을 나타내고, 압축 하중인 경우보다 인장 하중을 받는 경우 그 속도의존성이 크게 나타난다. 이러한 콘크리트의 속도 의존성을 모사하기 위하여, 기존 RBSN(Rigid-Body-Spring-Network) 모델의 거동을 나타내는 스프링 세트에 대쉬포트(Dashpot)와 같은 점성 요소와 Coulomb 마찰 요소를 조합하였다. 요소의 조합에 따라 세 가지 모델( 1)점탄성, 2)점소성, 3)점탄소성 손상(Damage 모델)을 고려하였고, 이에 대한 구성관계식을 유도하였다. 개발된 해석모델은 직접인장 실험의 응력-변형률 관계곡선과 비교 검증되었고, 이중 점탄소성 손상 모델은 실험결과를 잘 모사할 수 있음을 확인하였다.

韓半島 周邊海域 海底 表層蓄積物 音波 空曠係數와 생物起源 氣滯含量 (Sound Attenuation Coefficients and Biogenic Gas Content in the Offshore Surficial Sediments Around the Korean Peninsula)

  • 김한준;덕봉철
    • 한국해양학회지
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    • 제25권1호
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    • pp.26-35
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    • 1990
  • 한반도 주변 4개 해혁(포항, 부산, 여수, 군산)의 해저 표층축적물에서 얻은 음향 자료로부터 음속과 음파감쇠를 구하여 물성과의 상관성을 검토하고, 기체함량을 추정 함으로써 음파의 기계적 원인을 분석하였다. 음속 및 음파감쇠의 범위는 각각 1470∼ 1616 m/sec 및 0.0565∼0.6604 dB/kHz-m로서 퇴적물의 유형에 밀접하게 관련된다. 음 파는 coarse silt에서 최대이며 표층퇴적물내 기체 함량의 추정값은 8 ppm 이하로서 퇴적물의 입자가 작을수록 증가한다. Find sand보다 입자가 큰 퇴적물에서는 마찰손실 이 절대적인 음파감쇠의 요인으로 작용하며, 점성손실은 무시할 수 있을 뿐만 아니라 퇴적물의 물성에 따라 변하지 않는다. Coarse silt에서 음파감쇠가 최대인 것은 마찰 손실 뿐만 아니라 silt 입자 차이에 존재하는 더 작은 입자들 간의 결합력이 동시에 작용하기 때문이며 fine 및 medium silt를 경계로 입자가 작아짐에 따라 입자간 결합 력이 주된 감쇠 요인으로 작용한다.

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비선형 점탄성 스프링 모델을 이용한 플로팅 슬래브 궤도의 동적 거동 해석 (Analysis of Dynamic Behavior of Floating Slab Track Using a Nonlinear Viscoelastic Spring Model)

  • 장승엽;박진철;황성호;김은
    • 한국소음진동공학회논문집
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    • 제22권11호
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    • pp.1078-1088
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    • 2012
  • Recently, the vibration and structure-borne noise induced by passing trains are of great concerns, and the floating slab track is highlighted as one of most efficient alternatives to reduce the railway vibration. However, due to the non-linearity and viscosity of rubber spring used in the floating slab track, its dynamic behavior is very complex. In this study, therefore, to simulate the dynamic behavior of floating slab track with a better accuracy, a nonlinear viscoelastic rubber spring model that can be incorporated in commercial finite element analysis codes has been proposed. This model is composed of a combination of elastic spring element, friction element and viscous element, and termed the "generalized friction viscoelastic model(GFVM)". Also, in this study, the method to determine the model parameters of GFVM based on Berg's 5-parameter model was presented. The results of the finite element analysis with this rubber spring model exhibit very good correlation with the test results of a laboratory mock-up test, and the feasibility of GFVM has been verified.

점탄성유체의 저항 및 열전달 감소현상과 퇴화의 영향에 관한 연구 (A Study on the Drag and Heat Transfer Reduction Phenomena and Degradation Effects of the Viscoelastic Fluids)

  • 엄정섭;전찬열;유상신
    • 설비공학논문집
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    • 제2권1호
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    • pp.37-48
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    • 1990
  • The drag and heat transfer reduction phenomena and degradation effects of drag reducing polymer solutions which are known as the viscoelastic fluids are investigated experimentally for the turbulent circular tube flows. Two stainless steel tubes are used for the experimental flow loops. Aqueous solutions of Polyacrylamide Separan AP-273 with concentrations from 300 to 1000 wppm are used as working fluids. Flow loops are set up to measure the friction factors and heat transfer coefficients of test tubes in the once-through system and the recirculating flow system. Test tubes are heated by power supply directly to apply constant heat flux boundary conditions on the wall. Capillary tube viscometer and falling ball viscometer are used to measure the viscous characteristics of fluids and the characteristic relaxation time of a fluid is determined by the Powell-Eyring model. The order of magnidude of the thermal entrance length of a drag reducing polymer solution is close to the order of magnitude of the laminar entrance length of Newtonian fluids. Dimensionless heat transfer coefficients of the viscoelastic non-Newtonian fluids may be represented as a function of flow behavior index n and newly defined viscoelastic Graetz number. As degradation continues viscosity and the characteristic relaxation time of the testing fluids decrease and heat transfer coefficients increase. The characteristic relaxation time is used to define the Weissenberg number and variations of friction factors and heat transfer coefficients due to degradation are presented in terms of the Weissenberg number.

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