• 제목/요약/키워드: modified reynolds equation

검색결과 65건 처리시간 0.03초

하드디스크 슬라이더의 동적수치해석 (A Dynamic Simulation of the Slider in HDD)

  • 김도완;임윤철
    • Tribology and Lubricants
    • /
    • 제16권4호
    • /
    • pp.295-301
    • /
    • 2000
  • The dynamic simulation of slider in hard disk drive is performed using Factored Implicit Finite Difference method. The modified Reynolds equation with Fukui and Kaneko model is employed as a governing equation. Equations of motion for the slider of three degrees of freedom are solved simultaneously with the modified Reynolds equation. The transient responses of the slider for disk step bumps and slider impulse forces are shown for various cases and are compared for the iteration algorithm and new algorithm.

정사각단면을 갖는 $180^{\circ}$ 곡관내의 2차 모멘트 난류모형에 관한 연구 (Study on the Second Moment Turbulence Model in a Square Sectioned $180^{\circ}$ Bend)

  • 김명호;염성현;최영돈
    • 대한기계학회논문집
    • /
    • 제18권5호
    • /
    • pp.1203-1217
    • /
    • 1994
  • In the present study, in order to analyze a turbulent flow in a square sectiond 180.deg. bend, Kim's low Reynolds number second moment turbulence closure is adopted. In this model, turbulence model constants in the wall region are modified as functions of turbulent Reynolds number by use of near wall turbulent universal properties based on Laufer's experimental results of Reynolds stress distriburions. Algebraic stress model and Reynolds stress equation model are used to verify the low Reynolds number second moment closure. The application of the present low Reynolds number algebraic stress model to the prediction of a square sectioned 180.deg. bend flow gives improved velocities and Reynolds stresses profiles compared with those obtained by using the van Driest mixing length model and present low Reynolds number Reynolds stress equation model.

저 레이놀즈수 유동장에서의 난류모델에 관한 연구 (The Study of Turbulence Model of Low-Reynolds Number Flow)

  • 유철;이정상;김종암;노오현
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2004년도 춘계 학술대회논문집
    • /
    • pp.172-177
    • /
    • 2004
  • In the present work, we have interests on the modification of parallel implemented with MPI(Message Passing Interface) programming method, 3-Dimensional, unsteady, incompressible Navier-Stokes equation solver to analyze the low-Reynolds number flow In order to accurate calculation aerodynamic coefficients in low-Reynolds number flow field, we modified the two-equation turbulence model. This paper describes the development and validation of a new two-equation model for the prediction of flow transition. It is based on Mentor's low Reynolds $\kappa-\omega$ model with modifications to include Total Stresses Limitation (TSL) and Separation Transition Trigger (STT)

  • PDF

하드디스크 슬라이더의 동적수치해석 (A Numerical Dynamic Simulation of the Slider in HDD)

  • 김도완;임윤철
    • 한국윤활학회:학술대회논문집
    • /
    • 한국윤활학회 1999년도 제30회 추계학술대회
    • /
    • pp.146-153
    • /
    • 1999
  • A numerical dynamic simulation is necessary to investigate the capacity of the HDD. The slider surface become more and more complicated to make the magnetized area smaller and readback signal stronger. So a numerical dynamic simulation must be preceded to develop a new slider in HDD. The dynamic simulations of air-lubricated slider bearing have been peformed using FIFD(Factored Implicit Finite Difference) method. The governing equation, Reynolds equation Is modified with Fukui and Kaneko model(FK model) which includes the first and the second-order slip. The equations of motion for the slider bearing are solved simultaneously with the modified Reynolds equation for the case of three degrees of freedom. The slider transient response for disk step bump and slider impulse force is given for various case and for iteration algorithm and new algorithm.

  • PDF

난류운동에너지-길이 Scale을 사용하는 단순화된 Reynolds 응력모형 (A Simplified Reynolds Stress Model with Turbulent Kinetic Energy-Length Scale)

  • 허재영
    • 한국수자원학회:학술대회논문집
    • /
    • 한국수자원학회 2005년도 학술발표회 논문집
    • /
    • pp.404-408
    • /
    • 2005
  • The Reynolds strss equation with turbulent energy-length scales was simplified in the nearly homogeneous turbulent equilibrium flow and a modified Reynolds stress model was proposed. Tn the model proposed in the present study, Reynolds stresses can be expressed in the form of algebraic equation, so that the turbulent stresses and related quantities are calculated through relatively simple procedures. The model predicted well the turbulent shear stresses of homogeneous flow in local equilibrium state obtained from experimental results published earlier Constants used In the model was determined universally and its validity was discussed briefly.

  • PDF

Transient Response of The Optimal Taper-Flat Head Slider in Magnetic Storage Devices

  • Arayavongkul, R.;Mongkolwongrojn, M.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2004년도 ICCAS
    • /
    • pp.990-994
    • /
    • 2004
  • This paper presents a method to predict the transient characteristic of the air lubricated slider head in a hard disk drive by using optimization technique. The time dependent modified Reynolds equation based on the molecular slip flow approximation equations was used to describe the fluid flow within the air bearing and the implicit finite difference scheme is applied to calculate the pressure distribution under the slider head. The exhaustive search combined with the Broyden-Fletcher-Goldfarb-Shanno method were employed to obtain optimum design variables which are taper angle, rail width and taper length in order to keep the forces and moments acting on the slider head in dynamic equilibrium. The results show that the optimal head slider of the magnetic head has good stability characteristic that can reach the steady state within 0.5 microsecond.

  • PDF

표면 거칠기 효과를 고려한 2-방정식 난류 모델의 성능평가 (Evaluation of Two-Equation Turbulence Models with Surface Roughness Effect)

  • 윤준용;천정민;강승규;변성준
    • 대한기계학회논문집B
    • /
    • 제27권12호
    • /
    • pp.1681-1690
    • /
    • 2003
  • The effect of roughness is a change in the velocity and turbulence distributions near the surface. Turbulence models with surface roughness effect are applied to the fully developed flow in a two-dimensional, rough wall channel. Modified wall function model, low-Reynolds number k-$\varepsilon$ model, and k-$\omega$ model are selected for comparison. In order to make a fair comparison, the calculation results are compared with the experimental data. The modified wall function model and the low-Reynolds number k-$\varepsilon$ model require further refinement, while the k-$\omega$ model of Wilcox performs remarkably well over a wide range of roughness values.

STUDY ON THE EFFECT OF AERATED LUBRICANT ON THE JOURNAL TRACES IN THE ENGINE BEARING CLEARANCE

  • JANG S.;PARK Y.
    • International Journal of Automotive Technology
    • /
    • 제6권4호
    • /
    • pp.421-427
    • /
    • 2005
  • This work analyzes the behaviors of aerated lubricant in the gap between con-rod bearing and journal. It is assumed that the film formation with aerated lubricant is influenced by the two major factors. One is the density characteristics of the lubricant due to the volume change of lubricant for the formation of bubbles and the other is the viscosity characteristics of the lubricant due to the surface tension of the bubble in the lubricant. These two major factors surprisingly increase the load capacity in some ranges of bubble sizes and densities. Modified Reynolds' equation is developed for the computation of fluid film pressure with the effects of aeration ratio in the lubricant. From the calculated load capacity by solving modified Reynolds' equation, journal locus is computed with Mobility method after comparing it with the applied load at each time step. The differences of journal orbits between aerated and pure lubricants are shown in the computed results.

진원도 오차를 고려한 스핀들 시스템의 동적 특성 해석 (Dynamic Analysis of a Tilted HDD Spindle System due to Roundness)

  • 곽규열;장건희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2007년도 추계학술대회논문집
    • /
    • pp.840-846
    • /
    • 2007
  • This paper investigates the dynamic behavior of a HDD spindle system due to the imperfect roundness of a rotating shaft. The shaft of a spindle motor rotates with eccentricity by the unbalanced mass of the rotating part. The eccentricity generates the run-out of a spindle motor which results in the eccentric motion of a rotating part. Roundness of a shaft affects this motion which limits the memory capacity of a HDD. This research proposes a modified Reynolds equation for the coupled journal and thrust FDBs to include the variable film thickness due to the roundness. Finite element method is used to solve the Reynolds equation for the pressure distribution. Reaction forces and friction torque are obtained by integrating the pressure and shear stress, respectively. The dynamic behavior is determined by solving the equations of a motion of a HDD spindle system in six degrees of freedom with the Runge-Kutta method to characterize the motion of a rotating part. This research shows that the roundness of a rotating shaft causes the excitation frequency with integer multiple of a rotating frequency.

  • PDF

가공 오차를 고려한 스핀들 시스템의 동적 특성 해석 (Dynamic Analysis of a Tilted HDD spindle system due to Manufacturing Tolerance)

  • 곽규열;김학운;장건희
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2007년도 춘계학술대회논문집
    • /
    • pp.852-858
    • /
    • 2007
  • This paper investigates the dynamic characteristics of a tilted HDD spindle system with fluid dynamic bearings (FDBs). Tilting motion of a HDD spindle system may be caused by improper manufacturing tolerance, such as imperfect cylindricity between shaft and sleeve of FDBs, imperfect perpendicularity between shaft and thrust as well as the gyroscopic moment of the unbalanced mass of the rotating part. Tilting motion may result in the instability of the HDD spindle system and it may increase the disk run-out to limit memory capacity. This research proposes a modified Reynolds equation for the coupled journal and thrust FDBs to include the variable film thickness due to the cylindricity and the perpendicularity. Finite element method is used to solve the Reynolds equation for the pressure distribution. Reaction forces and friction torque are obtained by integrating the pressure and shear stress, respectively. The dynamic behavior is determined by solving the equations of a motion of a HDD spindle system in six degrees of freedom with the Runge-Kutta method to study whirling and tilting motions. This research shows that the cylindricity and the perpendicularity increase the tilting angle and whirl radius of the rotor.

  • PDF