• Title/Summary/Keyword: $k-{\epsilon}$ model

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Numerical Analysis of Heat Transfer in Pulsating Turbulent Pipe Flow (원관내 맥동난류유동에서의 열전달 수치해석)

  • 박희용;이관수;김창기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1282-1289
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    • 1990
  • A numerical solution for heat transfer of pulsating turbulent pipe flow was presented under the condition of fully developed dynamic regime and uniform well heat flux. The k-.epsilon. turbulent model was adopted to describe turbulent characteristics. The results were given at following conditions ; Time-averaged Reynolds number equal to 10000 ; Strouhal number ranged from 0.0005 to 0.05 ; The peak velocity fluctuation varied from 20 to 80 percent of the mean velocity. It was found that the effect of pulsation on local heat transfer rate is greater at downstream than upstream and the heat transfer was increased or decreased according to the pulsating conditions.

Numerical calculations of flow and heat transfer in an axisymmetric reciprocating engine at it's suction and compression stage (축대칭 왕복 엔진의 흡입 및 압축과정에서 유동 및 열전달의 수치해석)

  • 강신형;이창훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.395-408
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    • 1987
  • Turbulent flows in an axisymmetric reciprocating engine are numerically simulated at it's suction and compression stage. Amounts of heat transfer through the wall of the cylinder are also estimated. k-.epsilon. turbulence model is adopted and the law of the wall is applied at grid-points near the wall. More than 40 * 40 grids are reguried to reasonably predict flows and the 3-level finite difference scheme for the time derivative term appears to be effective rather than the 2-level scheme. Calculated mean velocity distributions shows good agreements with an available experimental data. The program reasonably simulates flow patterns and pressures throughout the suction and the compression stages of the reciprocating engine. Predicted intensities of turbulence are still deviated from measured data. Further researches for turbulence modeling are expected.

Numerical Study on the Adverse Pressure Gradient in Supersonic Diffuser (초음속 디퓨져 내부 역압력 구배에 대한 수치적 연구)

  • Kim, Jong Rok
    • Journal of the Korean Society of Propulsion Engineers
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    • v.17 no.4
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    • pp.43-48
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    • 2013
  • A study is analyzed on the adverse pressure gradient and the transient regime of supersonic diffuser with Computational Fluid Dynamic. The flow field of supersonic diffuser is calculated using Axisymmetric two-dimensional Navier-Stokes equation with $k-{\epsilon}$ turbulence model. The transient simulation is compared in terms of mach number and static temperature of vacuum chamber according to pressure variation of rocket engine combustion chamber. Combustion gas flow into the vacuum chamber during operation of the supersonic diffuser. According to this phenomenon, the pressure and the temperature rise in the vacuum chamber were observed. Thus, the protection system will be necessary to prevent the pressure and temperature rise in the transition process during operation of the subsonic diffuser.

A Hybrid Turbulence Model for Prediction of Buoyancy-Driven Turbulent Thermal Convection Flow (부력에 의한 난류 열대류의 혼성 난류모델)

  • 김태규;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.8
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    • pp.2069-2078
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    • 1993
  • The buoyancy-driven turbulent thermal convection is predicted using an anisotropic hybrid turbulence model, which is incorporated with a low Reynolds k-.epsilon. turbulence model and an anisotropic buoyant part of algebraic stress model(ASM). The numerical predictions are compared with the Davidson's model,(1) the full ASM and the experimental results of Cheesewright et al.(2) All the models are shown to predict good agreements with the experiments for the averaged turbulence quantities. It is found that the effect of an anisotropic part on the Reynolds stress and the turbulent heat fluxes is substantial. In this study, the present hybrid model gives a fairly reasonable prediction in terms of the computational accuracy, convergence and stability. The contribution of an anisotropic buoyant part to turbulent heat fluxes are also scrutinized over the range of Rayleigh numbers $(4.79{\times}10^{10}{\le}Ra{\le}7.46{\times}10^{10}).$

Combined raidation-forced convection in a circular tube flow (원관내 유동에서의 복사 및 강제대류 열전달에 관한 연구)

  • 임승욱;이준식;이택식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1652-1660
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    • 1990
  • Combined radiative-convective heat transfer in a hot gas tube flow has been investigated numerically and experimentally. In the numerical analysis, a standard k-.epsilon. model is used for the evaluation of turbulent shear stresses and spherical harmonics method with the Weighted Sum of Gray Gases Model for the solution of radiative transfer equation. In the experimental study measured are the velocity and temperature of the hot gas flow generated by the propane gas combustion, and tude wall heat flux distribution. Numerical results are compared with experimental ones and it is confirmed that P-3 provides quite reliable results in the analysis of the combined radiation-convection system.

SELF-SIMILAR SOLUTIONS OF ADVECTION-DOMINATED ACCRETION FLOWS REVISITED

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • v.22 no.2
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    • pp.139-146
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    • 2005
  • A model of advection-dominated accretion flows has been highlighted in the last decade. Most of calculations are based on self-similar solutions of equations governing the accreting flows. We revisit self-similar solutions of the simplest form of advection-dominated accretion flows. We explore the parameter space thoroughly and seek another category of self-similar solutions. In this study we allow the parameter f less than zero, which denotes the fraction of energy transported through advection. We have found followings: 1. For f > 0, in real ADAF solutions the ratio of specific heats ${\gamma}$ satisfies 1 < ${\gamma}$ < 5/3 for O ${\leq}$ f ${\leq}$ 1. On the other hands, in wind solutions a rotating disk does not exist. 2. For f < 0, in real ADAF solutions with ${\epsilon}$ greater than zero ${\gamma}$ requires rather exotic range, that is, ${\gamma}$ < 1 or ${\gamma}$ > 5/3. When -5/2 < ${\epsilon}$' < 0, however, allowable ${\gamma}$ can be found in ${\gamma}$ < 5/3, in which case 4{\Omega}_0$,_ is imaginary. 3. For a negative $u_0$,+ with f > 0, solutions are only allowed with exotic ${\gamma}$, that is, 1 < ${\gamma}$ or ${\gamma}$ > (5f/2-5/3)/(5f/2-1)when O < f < 2/5, (5f/2-5/3)/(5f/2-1) < ${\gamma}$ < 1 when f > 2/5. Since ${\epsilon}$' is negative, 4{\Omega}_0$,+ is again an imaginary quantity. For a negative $u_0$,+ with f < 0, ${\gamma}$ is allowed in 1 < 7 < (5|f|/2 + 5/3)/(5|f|/2 + 1). We briefly discuss physical implications of what we have found.

Analysis of Seawater Intake System using the RNG k-𝜖 Algorithm (RNG k-𝜖 알고리즘을 이용한 해수취수시스템 분석)

  • Kim, Ji-Ho;Kim, Tae-Won;Lee, Seung-Oh;Park, Young-Jin
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.12
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    • pp.6447-6454
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    • 2013
  • Seawater intake systems have significant problems due to seawater pollution, suspended solids, unstable intake and maintenance etc. An underground type seawater intake system was newly developed to overcome the existing weaknesses and was facilitated in Gyukpo port. In this study, to check the performance of the new system, the samples for water quality and the 3-D numerical modeling test were conducted. The five times test included the COD, total nitrogen, total phosphorus, pH, and suspended solid for the intake system. The analyses show that the COD, total nitrogen, total phosphorus, PH showedminor changes before and after. On the other hand, the change in suspended solids was significant and water was purified below 5 mg/l, first level fisheries water, after. The numerical model adopted the RNG $k-{\epsilon}$ algorithm and the CFX model based on the finite volume method. The porosity algorithm was used to reproduce filtered-sand, outer diameter, and thickness. The numerical results showed that the double pipe is advantageous in that it provides a uniform pressure between the inner and outer pipe for the flow to be stable. In addition, the use of multiple intake pipes did not interfere with the discharge reduction of 0.98 at the both intake pipes compared with the central intake pipe.

A Tensor Invariant Dissipation Equation Accounting for Extra Straining Effects (이차적인 변형률효과를 고려한 텐서 불변성 난류에너지 소산율방정식)

  • 명현국
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.967-976
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    • 1994
  • A tensor invariant model equation for the turbulent energy dissipation rate is proposed in the present study, which is able to simulate secondary straining effects such as curvature effects without the introduction of additional empirical input. The source term in this model has a combined form of the generation term due to the mean vorticity with the conventional one due to the mean strain rate. An extended low-Reynolds-number $k-\epsilon$ turbulence model involving this new model equation is tested for a turbulent Coutte flow between coaxial cylinders with inner cylinder rotated, which is a well defined example of curved flows. The predicted results indicate that the present model works much better for this flow, compared with previous models.

NUMERICAL ANALYSIS OF A 150KW HUELS TYPE ARC HEATER (150kW급 Huels형 아크 히터 내부의 유동 해석)

  • Han, S.H.;Byeon, J.Y.;Kim, K.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.562-566
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    • 2010
  • Numerical analysis of 150kW Huels-type arc jet was performed using compressible Navier-Stokes CFD code. To consider chemical reaction by high temperature, the flow was assumed to be chemical equilibrium states. As a turbulence and a radiation model, the two-equation k-epsilon model and the 3-band radiation model were adopted, respectively. Mass flow rate and current density were given as conditions for calculations. In this study, two kinds of mechanisms for injection of air flow wire considered. One is that air is provided by left wall surface and the other is that air is injected from upper wall surface. The pressure, density and temperature contours of two cases were compared and heat transfer rates were estimated. The numerical results of two cases were not much different to each other. However, in real 150KW device, air is injected from upper wall surface with swirl. To calculate more accurately, swirl effect is must be considered.

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A Study on the Volatilities of Inbound Tourists Arrivals using the Multivariate BEKK model (다변량 BEKK모형을 이용한 방한 외래 관광객의 변동성에 대한 연구)

  • Kim, Kyung-Soo;Lee, Kyung-Hee
    • Management & Information Systems Review
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    • v.32 no.3
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    • pp.1-23
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    • 2013
  • In this study, we try to investigate the spillover effects of volatility in international tourists arrivals between Korea and US, Japan, China by using the multivariate BEKK model from January 2005 to January 2013. In the results of this study, after the global financial crisis, we found a cointegration relationship and tourist arrivals of Japan were adjusted to recovery in the short term. Also tourists arrivals from China and Japan showed the long-term elasticity. In the conditional mean equation of a BEKK model, there were the spillover effects. And in the conditional variance equation, ARCH(${\epsilon}^2_t$) coefficients showed a strong influence on the arrivals of their own and the spillover effects and the asymmetric effects on the volatility of China and Japan arrivals. In GARCH(${\sigma}^2_t$) coefficients showed the asymmetric effects and the spillover effects of the conditional volatility among source arrivals. Therefore, we examined the asymmetric reaction of one-way or two-way tourist arrivals between source countries and Korea and the spillover effects related to tourists arrivals of source countries to Korea. We has confirmed a causal relationship between some of the tourists arrivals from source countries to korea.

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