• Title/Summary/Keyword: Convective velocity

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Study on the Improvement of the Convective Differencing Scheme for the High-Accuracy and Stable Resolution of the Numerical Solution (수치해의 정확성과 안정성이 보장되는 대류항 미분법 개선에 관한 연구)

  • 신종근;최영돈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1179-1194
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    • 1992
  • QUICKER scheme has several attractive properties. However, under highly convective conditions, it produces overshoots and possibly some oscillations on each side of steps in the dependent variable when the flow is convected at an angle oblique to the grid line. Fortunately, it is possible to modify the QUICKER scheme using non-linear and linear functional relationship. Details of the development of polynomial upwinding scheme are given in this paper, where it is seen that this non-linear scheme has also third order accuracy. This polynomial upwinding scheme is used as the basis for the SHARPER and SMARTER schemes. Another revised scheme was developed by partial modification of QUICKER scheme using CDS and UPWIND schemes(QUICKUP). These revised schemes are tested at the well known bench mark flows, Two-Dimensional Pure Convection Flows in Oblique-Step, Lid Driven Cavity Flows and Buoyancy Driven Cavity Flows. For pure convection oblique step flow test problem, QUICKUP, SMARTER and SHARPER schemes remain absolutely monotonic without overshoot and oscillation. QUICKUP scheme is more accurate than any other scheme in their relative accuracy. In high Reynolds number Lid Driven Cavity Flow, SMARTER and SHARPER schemes retain lower computational cost than QUICKER and QUICKUP schemes, but computed velocity values in the revised schemes produced less predicted values than QUICKER scheme which is strongly effected by overshoot and undershoot values. Also, in Buoyancy Driven Cavity Flow, SMARTER, SHARPER and QUICKUP schemes give acceptable results.

Diagnosis of HSC Convective Flow Using a Digital Holographic Interferometry and PIV System (디지털 홀로그래픽 간섭계와 PIV를 이용한 Hele-Shaw Cell 내부 열유동 해석)

  • Kim, Seok;Lee, Sang-Joon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.4
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    • pp.493-499
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    • 2004
  • Variations of temperature and velocity fields in a Hele-Shaw convection cell (HSC) were investigated using a holographic interferometry and 2-D PIV system with varying Rayleigh number. To measure quasi-steady variation of temperature field, two different measurement methods of holographic interferometry, double-exposure method and real-time method, were employed. In the double-exposure method, unwanted waves were eliminated effectively using a digital image processing technique. The reconstructed images are clear, but transient flow cannot be reconstructed clearly. On the other hand, transient convective flow can be reconstructed well using the real-time method. However, the fringe patterns reconstructed by the real-time method contain more noises, compared with the double-exposure method. Experimental results show a steady flow pattern at low Rayleigh numbers and a time-dependent periodic flow structure at high Rayleigh numbers. The periodic flow pattern at high Rayleigh numbers obtained by the real-time holographic interferometer method is in a good agreement with the PIV results.

Effects of aspect ratio on natural convective heat transfer from a vertical isothermal cylinder immersed in cold pure water (저온의 순수물속에 잠겨있는 등온수직 원기둥에 의한 자연대류 열전달에 종횡비가 미치는 영향)

  • 유갑종;엄용균;이성진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.677-684
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    • 1991
  • A numerical analysis is performed about the effects of aspect ratio on natural convective heat transfer from a vertical isothermal cylinder of 0.deg. C immersed in cold pure water. The results of analysis include velocity profiles, temperature profiles and mean Nusselt number of the steady flow region. As aspect ratio of vertical cylinder increases, the flow and heat transfer characteristics of vertical isothermal cylinder approach to those of vertical isothermal flat plate. Numerical solutions obtained for Rayleigh number and aspect ratio indicate the cylinders can be classified as short cylinder and long cylinder. In the cases of short cylinder and long cylinder, new heat transfer correlations are presented. Here, the coefficient values C of new heat transfer correlations are presented as the function of density extremum parameter $R^*/. Numerical results show that theoretical results are in close agreement with experimental results.ts.

A Study on the Characteristics of Cylinder Wake Placed in Thermally Stratified Flow(II)(Par II. Turbulent Characteristics of Stratified Wake) (열성층유동장에 놓인 원주후류의 특성에 대한 연구(2)(Part 2. 성층후류의 난류유동특성))

  • 김경천;정양범;강동구
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1322-1329
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    • 1994
  • The effect of thermal stratification on the stratified flow past a circular cylinder was examined in a wind tunnel. Turbulent intensities, the rms values of temperature and turbulent convective heat flux as well as the velocity and temperature profiles in the cylinder wake with a strong thermal gradient of $200^{\circ}C/m$ were measured by using a hot-wire and cold-wire combination probe. It is found that the temperature field affects as an active contaminant, so that the vertical growth of vortical structure is suppressed and the strouhal number decreases with increasing the extent of stratification. And also, the wake structure can not sustain their symmetricity about the wake centerline and vertical turbulent motion dissipates faster than that of the neutral case when such a strong thermal gradient is superimposed. It is evident that the turbulent mixing in the upper half section is stronger than that of the lower of the wake in a stably stratified flow because the turbulent intensities and convective heat flux in the upper half section are larger than those of the lower half of the wake.

Development of four-equation turbulence model for prediction of mixed convective heat transfer on a flat plate (수평평판위 의 혼합대류 열전말 계산 을 위한 4-방정식 모델 의 개발)

  • 성형진;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.2
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    • pp.193-203
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    • 1983
  • The mixed convective heat transfer problems are characterized by the relatively significant contribution of buoyancy force to the transport processes of momentum and heat. Past analytical studies on this kind of problems have been carried out by employing either the conventional R-.epsilon. turbulence model which includes constant turbulent Prandtl number .sigma.$_{+}$ 1 or an extended R-.epsilon. turbulence model which takes account of the buoyancy effect in appropriate length scale equations. But in the latter case, the temperature variance .the+a.$^{2}$ over bar is approximated by a model under local equilibrium condition and the time scale ratio between velocity and temperature is assumed to be constant. These approximation is known to break down when the buoyancy effect is dominant. The present study is aimed at development of new computational turbulence closure level which can be applied to this rather complex turbulent process. The temperature variance is obtained directly by solving its dynamic transport equation and the time scale ratio which is variable in space is computed by a solution of a dynamic equation for the rate of scalar dissipation .epsilon.$_{\thetod}$ It was found that the computational results are in good agreement with available experimental data of wide range of unstable conditions.

An Analytical Solution of the Vertically One-dimensional Convection-Diffusion Equation for the Determination of Local Suspended Sediment Concentration (국지 부유퇴적물 농도의 결정을 위한 연직1차원 이류확산 방정식의 해석해)

  • Jung, Kyung-Tae;Jin, Jae-Youll;Kang, Hyoun-Woo;Cho, Hong-Yeon;Kim, Mee-Kyung;John Noye
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2003.08a
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    • pp.208-215
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    • 2003
  • Convective-diffusion equations appear in various disciplines such as hydrology, chemical engineering and oceanography dealing with the transport problem of scalar quantities. Since it is nonlinear, numerical methods are generally used to obtain its solution. Very limited number of analytical solutions are available usually in cases when the convective velocity is constant or has a simple functional form (for some collection of the solutions, see Noye, 1987). There is however a continuing need to develop analytical solutions because of its practical importance. Analytical solutions of the convection-diffusion equation are valuable not only for the better understanding on the transport process but the verification of numerical schemes. (omitted)

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Influence of the Wake Behind Rectangular Bars on the Flow and Heat Transfer in the Linear Turbine Cascade (사각주 후류가 선형터빈익렬의 유동 및 열전달에 미치는 영향에 관한 연구)

  • Yoon, Soon Hyun;Sim, Jae Kyung;Woo, Chang Soo;Lee, Dae Hee
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.7
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    • pp.864-870
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    • 1999
  • An experimental study Is conducted in a four-vane linear cascade in order to examine the influence of the wake behind rectangular bars on the flow and heat transfer characteristics. Flow and heat transfer measurements are made for the inlet Reynolds number of 66000(based on chord length and free-stream velocity). Turbulent intensity and stress are measured using a hot-wire anemometer, and to measure the convective heat transfer coefficients on the blade surface liquid crystal/gold film Intrex technique is used. Each of experimental cases is characterized by the unsteadiness measured at the entrance of the cascade. The wake behind the rectangular bars enhances the turbulent motion of the flow in the cascade passage. It also promotes the boundary layer development and transition. The results show that heat transfer coefficients on the blade surface increase with increasing unsteadiness.

The Effect of Ultrasonic Vibration on Heat Transfer Augmentation of Forced Convective Flow in Circular Pipes (초음파 진동이 관내 강제대류 유동의 열전달 증진에 미치는 영향)

  • Jeong Ji Hwan
    • Journal of Energy Engineering
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    • v.13 no.4
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    • pp.275-280
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    • 2004
  • Augmentation of heat transfer by ultrasonic vibration in pipes are investigated. Measurements of convective heat transfer coefficients on circular pipe walls are made with and without ultrasonic vibration applied to water. These data are compared with each other to quantify the effects of ultrasonic vibration on heat transfer enhancement. Numerical analysis has been also performed in order to extend the ranges of examined temperature and flow rate. FLUENT Ver.6.1 is used to simulate velocity and temperature fields and evaluate heat transfer coefficient with and without ultrasonic vibration. The results show that the ultra- sonic vibration enhances the Nusselt number of forced convection flow and the increase rate strongly depends on flow rate.

Simulation of Three-Dimensional Turbulent Flows around an Ahmed Body-Evaluation of Turbulence Models- (Ahmed Body 주위의 3차원 난류유동 해석 - 난류모델의 평가)

  • Myong, H.K.;Jin, E.;Park, H.K.
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.7
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    • pp.873-881
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    • 1997
  • A numerical simulation has been carried out for three-dimensional turbulent flows around an Ahmed body. The Reynolds-averaged Navier-Stokes equation is solved with the SIMPLE method in general curvilinear coordinates system. Several k-.epsilon. turbulence models with two convective difference schemes are evaluated for the performance such as drag coefficient, velocity and pressure fields. The drag coefficient, the velocity and pressure fields are found to be changed considerably with the adopted k-.epsilon. turbulence models as well as the finite difference schemes. The results of simulation prove that the RNG k-.epsilon. model with the QUICK scheme predicts fairly well the tendency of velocity and pressure fields and gives more reliable drag coefficient. It is also demonstrated that the large difference between simulations and experiment in the drag coefficient is due to relatively high predicted values of pressure drag from vertical rear end base.

Forced Convection Heat Transfer from an Inner Surface of a Two-Dimensional Rectangular Cavity (이차원 사각형 공동 내부에서의 강제 대류 열전달)

  • Seo, T.B.;Han, K.Y.;Kange, Y.H.
    • Journal of the Korean Solar Energy Society
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    • v.22 no.4
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    • pp.77-84
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    • 2002
  • In order to investigate forced convection heat transfer due to the wind from the inner surface of a cavity receiver for a parabolic dish type solar energy collecting system, a two-dimensional rectangular cavity receiver is prepared and installed in a wind tunnel. The convection heat transfer coefficient of the inner surface of the receiver is dependent on the direction and the velocity of the wind. The attack angle of the cavity and the air velocity in the tunnel are controlled in a wide range so that the effects of the attack angle and the wind velocity on the heat transfer coefficient can be studied. The skirt is installed at the aperture of the cavity in order to reduce convective heat loss. The effects of the length and the installation angle of the skirt on convection heat transfer of the cavity are tested. It is found that convection heat loss can be significantly reduced by installing the skirt. Also, it is known that heat transfer from the cavity can be minimized if the angle of the skirt is $90^{\circ}$ to the outer surface of the cavity.