• Title/Summary/Keyword: Modified Reynolds equation

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Numerical Analysis of Branch Flows for Newtonian and Non-Newtonian Fluids (뉴턴유체와 비뉴턴유체에 대한 분기관 유동의 수치해석)

  • 서상호;유상신;노형운
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2762-2772
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    • 1994
  • Branch flows for Newtonian and non-Newtonian fluids are simulated by the finite volume method. The modified power-law model is employed as a constitutive equation of the non-Newtonian fluids. Numerical analyses are focused on understanding of flow patterns for different values of branch angles, diameter ratios and Reynolds numbers. The numerical results are compared with the existing experimental data. The calculated velocity profiles and pressure variations are in good agreement with available experimental results.

Analysis of Fluid-thermal Coupling in Ferrofluid Bearing Used in High Speed Machines

  • Yin, Xin;Ma, Jien;Fang, Youtong;Jin, Shuai
    • Journal of international Conference on Electrical Machines and Systems
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    • v.2 no.4
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    • pp.421-428
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    • 2013
  • This paper describes analysis of journal bearings lubricated with ferrofluid, which are very suitable for high speed machines. Comparing to conventional lubricants, the coupling of hydrodynamic, thermal and magnetic properties of ferrofluid adds to the complexity in analysis. Modified Reynolds equation and energy equation are derived and solved numerically using finite volume method. Pressure distribution is got which takes temperature effect into consideration. Static characteristics are then discussed. One optimal scheme is also got according to analysis results.

Vaporization Characteristics of Supercritical Hydrocarbon Fuel Droplet in Convective Nitrogen Environments (유동이 있는 초임계 질소 환경에서 탄화수소 연료 액적의 기화 특성)

  • Lim Jong-Hyuk;Lee Bong-Su;Koo Ja-Ye
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.10
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    • pp.1279-1287
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    • 2004
  • The vaporization characteristics of a liquid heptane droplet in a supercritical nitrogen flow are numerically studied. The transient conservation equations of mass, momentum, energy, and species are expressed in an axisymmetric coordinate system. The governing equations are solved time marching method with preconditioning scheme. The modified Soave-Redlich-Kwong equation of state is employed for taking account of real gas effects such as thermodynamic non-ideality and transport anomaly. Changing the convective velocity and ambient pressure, several parametric studies are conducted. The numerical results show that the two parameters, Reynolds number and dimensionless combined parameter(${\mu}$s/${\mu}$d)(equation omitted), have influence on supercritical droplet vaporization.

A Flying State Analysis of HDD Head Slider by Using An Optimization Technique (최적화 기법을 이용한 HDD용 헤드 슬라이더의 부상상태 해석)

  • 윤상준;김존관;최동훈;이재헌;김광식
    • Tribology and Lubricants
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    • v.8 no.2
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    • pp.26-34
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    • 1992
  • This paper suggests a method to predict the flying state of the head slider in a hard disk drive (HDD) by using an optimization technique. The modified Reynolds equation for the hydrodynamic lubrication theory under the slip flow condition is used to describe the air-bearing system and a Finite Volume Method (FVM) is applied to solve the equation. Especially, Augmented Lagrange Multiplier (ALM) method is employed to find the minimum flying height, the pitch angle and the roll angle of the slider, which is shown to be faster and more general than the conventional update schemes. By using the proposed method, the variations of the flying state are analyzed as a function of the slider position in the direction of the disk radius for various disk velocities and skew angles.

NUMERICAL SIMULATIONS OF SUPERSONIC FLOWS USING POROUS AND ROUGH WALL BOUNDARY CONDITIONS (다공성 벽면(porous-wall)과 거칠기가 있는 벽면(rough-wall)에 관한 경계조건을 이용한 초음속 흐름의 수치모사)

  • Kwak, E.K.;Yoo, I.Y.;Lee, D.H.;Lee, S.
    • Journal of computational fluids engineering
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    • v.14 no.4
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    • pp.23-30
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    • 2009
  • The existing code which solves two-dimensional RANS(Reynolds Averaged Navier-Stokes) equations and 2-equation turbulence model equations was modified to enable numerical simulation of various supersonic flows. For this, various boundary conditions have been implemented to the code. Bleed boundary condition was incorporated into the code for calculating wall mean flow quantities. Furthermore, boundary conditions for the turbulence quantities along rough surfaces as well as porous walls were applied to the code. The code was verified and validated by comparing the computational results against the experimental data for the supersonic flows over bleed region on a flat plate. Furthermore, numerical simulations for supersonic shock boundary layer interaction with a bleed region were performed and their results were compared with the existing computational results.

The Static and Dynamic Performance of a MEMS/MST Based Gas-Lubricated proceeding Bearing with the Slip Flow Effect

  • Kwak, H.-D.;Lee, Y.-B.;Kim, C.-H.;Lee, N.-S.;Choi, D.-H.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.103-104
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    • 2002
  • The influence of the slip flow on the MEMS/MST based gas-lubricated proceeding bearing is investigated. Based on the modified Reynolds equation, the numerical analysis of the finite difference method was developed by applying the first order slip flow approximation. The numerical prediction of bearing performance provides the significant results concerning the slip flow effect in micro scale gas-lubricated proceeding bearing. The result indicates that the load-carrying capacity as well as the rotordynamic coefficients were significantly reduced due to the slip flow. Through this work, it is concluded that the slip flow effect could not be ignored in the micro gas-lubricated proceeding bearing.

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Numerical Simulation on Turbulent Shear Flows over Surface-Mounted Obstacles (표면에 부착된 장애물 주위의 난류전단유동에 관한 수치해석)

  • Myeong, Hyeon-Guk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.8
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    • pp.2593-2600
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    • 1996
  • A modified k-$\varepsilon$ turbulence model having a generality is proposed in the present study, in which the constant $C_{\varepsilon2}$in the $\varepsilon$-equation is simply changed as a functional form of a new parameter both satisfying the tensor invariant condition and representing the extra straining effect on complex shear flows. With this model turbulent shear flows over two-dimensional obstacles placed in a channel are numerically studied for different blockage ratios and aspect ratios. Comparing with the available experimental data, the predicted results with the present model provide definite improvements over the standard model's results and work fairly well with the experimental data on the size of the recirculation zone, as well as mean velocity, wall static pressure, turbulent kinetic energy and Reynolds stresses.

Study on Film-Boiling Heat Transfer of Subcooled Turbulent Liquid Film Flow on Horizontal Plate (수평 과냉 . 난류액막류의 막비등 열전달에 관한 연구)

  • 김영찬;서태원
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.12 no.9
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    • pp.835-842
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    • 2000
  • Film boiling heat transfer of the subcooled turbulent liquid film flow on a horizontal plate was investigated by theoretical and experimental studies. In the theoretical analysis, by solving the integral energy and momentum equations analytically, some generalized expressions for Nusselt number was deduced. Next, by comparing the deduced equations with the experimental data on the turbulent film boiling heat transfer of the subcooled thin liquid film flow, the semi-empirical relation between the Nusselt number based on the modified heat transfer coefficient and the Reynolds number was obtained. The correlating equation was very similar to that of the turbulent heat transfer in a single phase flow, and it was found that the heat transfer was dissipated to increase the liquid temperature.

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A Study on the Flying Characteristics of Zero-Load Sliders (제로-로드 슬라이더의 부상특성에 관한 연구)

  • 윤상준;강태식;최동훈
    • Tribology and Lubricants
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    • v.11 no.2
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    • pp.15-23
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    • 1995
  • A zero-load slider is composed of two outside rails which produce a lift force pushing up the slider from the disk surface and a wide reverse step region which produces a suction force attracting the slider to the disk surface. In this paper, the flying characteristics of zero-load sliders are obtained by using an optimization technique. In the pressure calculation module, the FIFD scheme is used to solve the modified Reynolds equation. The BFGS method and a line search algorithm is employed to predict the static flying attitude. To investigate the effect of the geometric- parameters of zero-load sliders on the flying characteristics, recess depth, front step width, rail width, and taper height are varied and the corresponding flying attitudes are obtained. Simulation results demonstrate that recess depth and rail width have significant influences on the flying characteristics.

A Numerical Study on the Toxic Gaseous and Solid Pollutant Dispersion in an Open Atmosphere (고-기상 유해물질 대기확산에 관한 수치해석)

  • 이선경;송은영;장동순
    • Journal of the Korean Society of Safety
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    • v.9 no.1
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    • pp.146-154
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    • 1994
  • A series of numerical calculations are performed in order to investigate the dispersion mechanism of toxic gaseous and solid pollutants in extremely short-term and short range. The calculations are carried out in an open space characterized by turbulent boundary layer. The simulation is made by the use of numerical model, in which a control-volume based finite difference method is used together with the SIMPLEC algorithm for the resolution of the pressure-velocity coupling problem. The Reynolds stresses are solved by two-equation, k-$\varepsilon$ model modified for buoyancy. The major parameters consider-ed in this study are temperature, velocity and Injection height of toxic gases, environmental conditions such as temperature and velocity of free stream air, and topographic factor. The results are presented and discussed in detail. The flow field is commonly characterized by the formation of a strong recirculation zone due to the upward motion of the hot toxic gas and ground shear stress. The driving force of the upward motion is explained by the effect of thermal buoyancy of hot gas and the difference of inlet velocity between toxic gas and free stream.

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