• Title/Summary/Keyword: Viscosity Equation

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Effects of Pad Number on the Static Performances of Large Tilting Pad Journal Bearings (패드 수의 변화가 대형 틸팅패드 저어널 베어링의 정특성에 미치는 영향)

  • Kim Sung-Gi;Kang Ji-Hoon;Kim Kyung-Woong
    • Tribology and Lubricants
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    • v.20 no.6
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    • pp.330-336
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    • 2004
  • In this paper, thermohydrodynamic characteristics of large tilting pad journal bearings which have $3\~8$ tilting pads were numerically analyzed. The turbulent lubrication equation and the energy equation were solved. The regime of operation of this bearing is laminar, turbulent and transitional. Also viscosity of working fluid was considered as function of only temperature and inlet pressure build-up was considered. Numerical results for a large tilting pad journal bearing showed pressure distribution, temperature distribution, eccentricity ratio, and friction torque. The effects of pad number on the static performances of a large tilting pad journal bearing are discussed.

Study of viscoelastic model for harmonic waves in non-homogeneous viscoelastic filaments

  • Kakar, Rajneesh;Kaur, Kanwaljeet;Gupta, Kishan Chand
    • Interaction and multiscale mechanics
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    • v.6 no.1
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    • pp.31-50
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    • 2013
  • A five parameter viscoelastic model is developed to study harmonic waves propagating in the non-homogeneous viscoelastic filaments of varying density. The constitutive relation for five parameter model is first developed and then it is applied for harmonic waves in the specimen. In this study, it is assumed that density, rigidity and viscosity of the specimen i.e., rod are space dependent. The specimen is non-homogeneous, initially unstressed and at rest. The method of non-linear partial differential equation has been used for finding the dispersion equation of harmonic waves in the rods. A simple method is presented for reflections at the free end of the finite non-homogeneous viscoelastic rods. The harmonic wave propagation in viscoelastic rod is also presented numerically with MATLAB.

Microforming of Bulk Metallic Glasses : Constitutive Modelling and Applications (벌크비정질합금의 미세성형 : 구성모델과 적용)

  • 윤승채;백경호;김형섭
    • Transactions of Materials Processing
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    • v.13 no.2
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    • pp.168-173
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    • 2004
  • Microforming can be a good application for bulk metallic glasses. It is important to simulate the deformation behaviour of the bulk metallic glasses in a supercooled liquid region for manufacturing micromachine parts. For these purposes, a correct constitutive model which can reproduce viscosity results is essential for good predicting capability. In this paper, we studied deformation behaviour of the bulk metallic glasses using the finite element method in conjunction with the fictive stress constitutive model which can describe non-Newtonian as well as Newtonian behaviour. A combination of kinetic equation which describes the mechanical response of the bulk metallic glasses at a given temperature and evolution equations fur internal variables provide the constitutive equation of the fictive stress model. The internal variables are associated with fictive stress and relation time. The model has a modular structure and can be adjusted to describe a particular type of microforming process. Implementation of the model into the MARC software has shown its versatility and good predictive capability.

SPECTRAL LEGENDRE AND CHEBYSHEV APPROXIMATION FOR THE STOKES INTERFACE PROBLEMS

  • HESSARI, PEYMAN;SHIN, BYEONG-CHUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.21 no.3
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    • pp.109-124
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    • 2017
  • The numerical solution of the Stokes equation with discontinuous viscosity and singular force term is challenging, due to the discontinuity of pressure, non-smoothness of velocity, and coupled discontinuities along interface.In this paper, we give an efficient algorithm to solve this problem by employing spectral Legendre and Chebyshev approximations.First, we present the algorithm for a problem defined in rectangular domain with straight line interface. Then it is generalized to a domain with smooth curve boundary and interface by employing spectral element method. Numerical experiments demonstrate the accuracy and efficiency of our algorithm and its spectral convergence.

TWO-DIMENSIONAL STAGNATION FLOW TOWARD A PLANE WALL COATED WITH MAGNETIC FLUID OF UNIFORM THICKNESS (균일 두께의 자성유체 피막이 있는 평면 벽을 향하는 2차원 정체 유동)

  • Ko, Hyung-Jong;Kim, Kyoung-Hoon;Kim, Se-Woong
    • Journal of computational fluids engineering
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    • v.12 no.4
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    • pp.20-27
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    • 2007
  • Two-dimensional stagnation flow toward a plane wall coated with magnetic fluid of uniform thickness is investigated. The flow field is represented as a similarity solution of the Navier-Stokes equation for this incompressible laminar flow. The resulting third order ordinary differential equation is solved numerically by using the shooting method and by determining two shooting parameters so as to satisfy the boundary and interface conditions. Features of the flow including streamline patterns are investigated for the varying values of density ratio, viscosity ratio, and Reynolds number. An adverse flow with double eddy pair in magnetic fluid region is found to emerge as the Reynolds number becomes higher than a threshold value. The results for the interface velocity, interface and wall shear stress, and boundary layer and displacement thickness are also presented.

Sensorless Speed Control of PMSM using an Adaptive Sliding Mode Observer (적응 슬라이딩 모드 관측기를 이용한 영구자석 동기전동기의 센서리스 속도제어)

  • Han, Yun-Seok;Kim, Yeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.2
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    • pp.83-91
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    • 2002
  • This paper presents a new speed and position sensorless control method of permanent magnet synchronous motors based on the sliding mode observer. Since the parameter of the dynamic equation such as machine inertia or viscosity friction coefficient are not well known and these values can be easily changed generally during normal operation, there are many restrictions in the actual implementation. The proposed adaptive sliding mode observer applies adaptive scheme so that observer may overcome the problem caused by using the dynamic equation. Furthermore, using the Lyapunov Function, the adaptive sliding mode observer can estimate rotor speed as well as stator resistance. The feasibility of the Proposed observer is verified cia the experiments.

Rheological Properties of Polystyrene Degraded by Mechanical Forces

  • Oh, In-Joon;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • v.2 no.4
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    • pp.129-132
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    • 1981
  • Polystyrene was degraded by using a vibrating ball mill. The viscosities and molecular weights of the degraded products were measured, and the decrease of viscosity $[\eta}$ with ${\dot{s}}$ (rate of shear) observed for the degraded products were analyzed by applying the Ree-Eyring equation for viscous flow. The variation of the parameters $x_2$/{\alhpa}_2,{\beta}_2$ and $x_1{\beta}_1/{\alpha}_1$ in the equation were explained by the fracture of polymer molecules by mechanical force. The electron paramagnetic resonance spectrum of the degraded sample was taken, and it was confirmed that free radicals were produced by the chain-scission of polystyrene.

Water carrying iron (iii) oxide (Fe3O4) ferrofluid flow and heat transfer due to deceleration of a rotating plate

  • Bhandari, Anupam
    • Structural Engineering and Mechanics
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    • v.82 no.5
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    • pp.679-690
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    • 2022
  • This research effort examines the flow behavior and heat transfer assessment of water carrying iron (iii) oxide magnetic fluid due to a rotating and moving plane lamina under the influence of magnetic dipole. The effect of rotational viscosity and magnetic body force is taken into consideration in the present study. The involvement of the moving disk makes a significant contribution to the velocity distribution and heat transfer in rotational flow. Vertical movement of the disk keeps the flow unsteady and the similarity transformation converts the governing equation of unsteady flow into nonlinear coupled differential equations. The non-dimensional equation in the present system is solved through the finite element procedure. Optimizing the use of physical parameters described in this flow, such results can be useful in the rotating machinery industries for heat transfer enhancement.

Comparison of Turbulence Models in Homogeneous Channel Flows (등밀도 수로흐름에서 의 난류모형 비교)

  • 이종찬;최병호
    • 한국해양학회지
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    • v.30 no.1
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    • pp.13-26
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    • 1995
  • In this paper three turbulence models including two-equation model by Blumberg and Mellor (1987), one-equation model with mixing length formula of Blackadar's (1962), and zero-equation model of Prandtl's (1925) were compared in homogeneous, unstratified channel flows. Steady flows which a steep-sided trapezoidal trench with uniform discharge, tidal flow and steady wind-driven flow in finite channels are considered in detail. Steady flows in a trench and tidal flows in a finite channel were reproduced fairly accurately and there was virtually no difference among results of three turbulence models. However, In case of steady wind-driven flow only two-equation model reproduced the important features of experimental data. the other two models underestimated the surface velocity. In tidal and wind-driven flows with negligibly small adjective and diffusive effects, the two-equation model gives rise to parabolic profile of eddy viscosity with maximum at the mid0depth, and the one and zero equation model based on Blackadar formula linear profile with maximum at the surface.

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Conversion Characteristics on Beef-Tallow and Sunflower Oil Blend Biodiesel and its Treatment Method to Reduce Kinematic Viscosity (우지-해바라기유 오일혼합 바이오디젤의 전환 특성과 동점도 처리에 따른 오일혼합 바이오디젤의 동점도 변화 특성)

  • Woo, Duk-Gam
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.3
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    • pp.380-389
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    • 2020
  • The conversion characteristics and fuel properties for producing biodiesel (BD) by blending beef-tallow, an animal waste resource with a high-saturated fatty acid content, and sunflower-oil, a vegetable oil with a high-unsaturated fatty acid content, were investigated. For this investigation, the effects of the control factors, such as the oil-blend ratio and methanol-to-oil molar ratio, on the fatty acid methyl ester and BD production yield were also investigated. The kinematic viscosity reduction effects of BD using heating and ultrasonic irradiation were verified, and the optimal temperature of each BD-diesel fuel blend for reducing the kinematic viscosity was derived using the correlation equation. As a result, the optimal conditions for producing blended biodiesel were verified to be TASU7 and a methanol-to-oil molar ratio of 10:1. The analysis results of the fuel properties of TASU7 satisfied the BD quality standard; hence, the viability of BD blended with waste tallow as fuel was verified. The experimental results on the kinematic viscosity reduction showed that heating is more effective in reducing the kinematic viscosity because it took less time than ultrasonic irradiation, and the equipment was cheaper and more straightforward than the ultrasonic irradiation method.