• Title/Summary/Keyword: Governing equation

Search Result 1,273, Processing Time 0.032 seconds

Simulation of Fuel Injection System and Model of Spray Behavior in Liquefied Butane (액상부탄 분사시스템의 수치시뮬레이션 및 분무특성 예측)

  • Kim, J.H.;Koo, J.Y.
    • Journal of ILASS-Korea
    • /
    • v.3 no.2
    • /
    • pp.24-33
    • /
    • 1998
  • The characteristics of liquefied butane spray are expected to be different from conventional diesel fuel spray, because a kind of flash boiling spray is expected when the back pressure is below the saturation vapor pressure of the butane(0.23MPa at $25^{\circ}C$). An accumulator type pintle injector and its fuel delivery system has been simulated in ruder to give injection pressure, needle lift and rate of fuel injected. The governing equation were solved by finite difference metho. The injection duration was controlled by solenoid valve. Spray behaviors such as a transient spray tip penetration, spray angle and SMD were calculated based on the empirical correlations in case that the back pressure is both above the vapor pressure of the butane and below that of butane. When the back preassure is below the vapor pressure of the fuel, conventional correlation is modified to represent the effect of flash boiling.

  • PDF

Numerical Investigation of the Stability of Flows induced by a Surface Acoustic Wave along a Slab

  • Chu W. Kwang-Hua
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2003.10a
    • /
    • pp.77-79
    • /
    • 2003
  • The stability of flows induced by a surface acoustic wave (SAW) propagating along the deformable walls in a confined parallel-plane microchannel or slab in the laminar flow regime is investigated. The governing equation which was derived by considering the nonlinear coupling between the deformable or waving interface and viscous fluids is linearized and then the problem is solved by a verified code based on the spectral method together with the associated interface and boundary conditions. The value of the critical Reynolds number was found to be near 1439 which is much smaller than the rigid-wall case: 5772 for conventional pressure-driven flows.

  • PDF

CHAOTIC MIXING IN THREE-DIMENSIONAL MICRO CHANNEL (삼차원 마이크로 채널 내 카오스 혼합)

  • Le, T.H.V.;Kang, S.;Suh, Y.K.;Wang, Y.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2007.10a
    • /
    • pp.49-55
    • /
    • 2007
  • The quality of chaotic mixing in three-dimensional micro channel flow has been numerically studied using Fractional-step method (FSM) and particle tracking techniques such as $Poincar{\acute{e}}$ section and Lyapunov exponents. The flow was driven by pressure distribution and the chaotic mixing was generated by applying alternating current to electrodes embedded on the bottom wall at a first half period and on the top wall at a second half period. The equations governing the velocity and concentration distributions were solved using FSM based on Finite Volume approach. Results showed that the mixing quality depended significantly on the modulation period. The modulation period for the best mixing performance was determined based on the mixing index for various initial conditions of concentration distribution. The optimal values of modulation period obtained by the particle tracking techniques were compared with those from the solution of concentration distribution equation using FSM and CFX software and the comparison showed their good match.

  • PDF

Numerical Study on Droplet Spread Motion after impingement on the wall using improved CIP method (수정된 CIP방법을 이용한 벽면 충돌 후 액적의 퍼짐 현상에 대한 수치해석 연구)

  • Son, S.Y.;Ko, G.H.;Lee, S.H.;Ryou, H.S.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2010.05a
    • /
    • pp.109-114
    • /
    • 2010
  • Interface tracking of two phase is significant to analyze multi-phase phenomena. The VOF(Volume of Fluid) and level set are well known interface tracking method. However, they have limitations to solve compressible flow and incompressible flow at the same time. CIP(Cubic Interpolate Propagation) method is appropriate for considering compressible and incompressible flow at once by solving the governing equation which is divided up into advection and non-advection term. In this article, we analyze the droplet impingement according to various We number using improved CIP method which treats nonlinear term once more comparison with original CIP method. Furthermore, we compare spread radius after droplet impingement on the wall with the experimental data and original CIP original CIP method, and it reduces the mass conservation error which is generated in the numerical analysis comparison with original CIP method.

  • PDF

A STUDY OF AERODYNAMIC MODELING FOR UNFOLDING WING MOTION ANALYSIS (전개하는 날개의 공력 모델링 연구)

  • Jung, S.Y.;Yoon, S.J.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03a
    • /
    • pp.245-250
    • /
    • 2008
  • For simulation of a wing unfolding motion for the various aerodynamic conditions, equation governing unfolding motion and moments applying to the unfolding wing were modelled. Aerodynamic roll moment consists of the static roll moment and the damping moment, which were obtained through wind tunnel tests and numerical analyses respectively. Panel method was used to compute the roll damping coefficient with twisted wing, whose deflection angle was equivalent to angle of attack due to the deployment motion. Roll damping coefficient is a function of angle of attack, sideslip angle, and deployment angle but not of angular velocity of deployment. Simulation with aerodynamic damping model gave more similar deployment time compared to wing deployment test results.

  • PDF

A Study on the Characteristics of the Pulse Wave Impinging upon a Flat Plate (평판에 충돌하는 펄스파의 특성에 관한 연구)

  • Kim, H.D.;Lee, D.H.
    • Proceedings of the KSME Conference
    • /
    • 2000.11b
    • /
    • pp.562-567
    • /
    • 2000
  • The Impingement of a weak shock wave discharged from the open end of a shock tube upon a flat plate was investigated using shock tube experiments and numerical simulations. Harten-Yee Total Variation Diminishing method was used to solve axisymmetric, unsteady, compressible flow governing equations. Experiments were carried out to validate the present computations. The effects of the flat plate and baffle plate sizes on the impinging flow field over the flat plate were investigated. Shock Mach number was vaned in the range from 1.05 to 1.20. The distance between the plate and shock tube was changed to investigate the effect on the peak pressure. From both the results of experiments and computations we obtained a good empirical equation to predict the peak pressure on the flat plate.

  • PDF

Flow Induced by the Uniform Motion of Top Plate over the Bottom Plate with Vertical Fin (수직 휜을 갖는 아래 평판 위에서 등속 운동을 하는 위 평판에 의한 유동)

  • Park, Jun-Sang
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.25 no.7
    • /
    • pp.877-884
    • /
    • 2001
  • A theoretical analysis is conducted on the Stokes flow in a narrow channel. A vertical fin is mounted on the bottom plate and the flow is induced by uniformly sliding top plate. The governing harmonic equation was solved in the transformed ζ-plane, which is obtained by applying conformal mappings to the physical plane. By using well-known transformation technique, closed-form expressions for velocity and skin frictional stress on the top and bottom plates were obtained.

Numerical Analysis of Pressure Distribution in Piston-Cylinder Unit for Accurate Pressure Measurement (유압측정을 위한 피스톤-실린더 간격내의 압력분포에 대한 수치해석)

  • U, Sam-Yong;Park, Jong-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.20 no.9
    • /
    • pp.2909-2915
    • /
    • 1996
  • Precise and accurate pressure measurements are obtained using deadweight piston gauges. Pressure distribution and elastic distortion in the piston-cylinder unit are the leading factors in determination of effective area. The distortion depends upon the pressure distribution in the clearance between piston and cylinder and those are coupled each other. Considering the viscosity pressure relation of oil and governing flow equation in the clearance, a new numerical iterative algorithm is developed. The disagreement between the monotonous and sharp pressure profiles is an indication that the pressure profile will be different for each piston and cylinder unit due to material variances.

Robust Tracking Control of Smart Flexible Structures Featuring Piezofilm Actuators (압전필름 작동기로 구성된 스마트 유연 구조물의 강건추적제어)

  • Lee, Chul-Hee;Choei-Seung-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.20 no.5
    • /
    • pp.1498-1507
    • /
    • 1996
  • This paper presents a robust control of a smart flexible structure featured by a piezofilm actuator characterizing its light weght and quick response time. A mathematical governing equation for the proposed structure is derived by employing Hamilton's principle and a state space control model is subsequentrly obtained through modal analysis. Uncertain system parameters such as frequency variation are included in the control model. A sliding mode control theroy thich has inherent robustness to systme uncertainties is adopted to design a tracking controller for the peizofilm actuator. Using the output informaiton from the tip deflection sensor, a full-order observer is constructed ot estimate state variables for the system. Tracking performances for desired trajectories of sinusoidal amd step functions are evaluated by undertaking both simulation and experimental works.

Numerical Simulation for Model Gas Turbine Combustor (모형 가스터빈 연소기의 수치해석적 연구)

  • 김태한;최병륜
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.7
    • /
    • pp.1789-1798
    • /
    • 1994
  • This paper aimed for numerical simulation of complicated gas turbine combustor with swirler. For the convenience of numerical analysis, fuel nozzle and air linear hole areas of secondary and dilution zone, which are issued to jet stream, were simplified to equivalent areas of annular type. In other to solve these problems, imaginary source terms which are corresponded to supplied fuel amount were added to those of governing equation. Chemical equilibrium model of infinite reaction rate and $k-{\epsilon}-g$ model with the consideration of density fluctuation were applied. As the result, swirl intensity contributed to mixing of supplied fuel and air, and to speed up the flame velocity than no swirl condition. Temperature profiles were higher than experimental results at the upstream and lower at the downstream, but total energy balance was accomplished. As these properties showed the similar trend qualitatively, simplified simulation method was worth to apply to complicated combustor for predicting combustion characteristics.