• Title/Summary/Keyword: Ergun equation

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NUMERICAL ANALYSIS OF ERGUN'S EQUATION FOR INTERIOR BALLISTIC ANALYSIS (강내탄도 해석에 사용되는 Ergun식에 관한 수치적 연구)

  • Bae, S.W.;Sung, H.G.;Roh, T.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2010.05a
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    • pp.473-478
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    • 2010
  • In this study, the Ergun's equation has been verified in order to calculate pressure drop of the two phase flow. The equation had been used in the high Reynolds number region for interior ballistic analysis in spite of being verified in the low Reynolds number region. Therefore additional verification seems to be inevitable. Thus, the validity of the equation has been verified using CFD in the high Reynolds number cases of the diameter-particle ratio 10, 13 and 16.

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Prediction of collection performance for a granular bed filter filled with various shapes of packing material (다양한 형상의 충전물로 채워진 충전층 집진기의 집진성능 예측)

  • Jae-Hyun Park;Myong-Hwa Lee
    • Particle and aerosol research
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    • v.19 no.4
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    • pp.145-154
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    • 2023
  • Granular bed filters are widely used to remove particulate matter in flue gas and are filled with various shapes of packing material. The packing material plays an important role in determining the overall collection performance, such as pressure drop and collection efficiency. The pressure drop of a granular bed filter has been calculated using the Ergun equation, while the collection efficiency has been predicted using the log-penetration equation based on the single sphere theory. However, a prediction equation of collection efficiency for a granular bed filter filled with non-spherical packing materials has not been suggested yet. Therefore, in this study, three different shapes of packing materials (sphere, cylinder, and irregular) were prepared to propose a prediction equation. The pressure drop and collection efficiency in a granular bed filter filled with each shape of packing material were measured experimentally and compared with theoretically predicted values. We found that experimentally measured pressure drops matched well with values theoretically predicted using the Ergun equation considering the shape factor. However, experimental collection efficiencies were higher than theoretical ones predicted by the log-penetration equation using the single sphere theory. We modified the log-penetration equation by employing a shape factor and found a good relationship between experimental and theoretical collection efficiencies.

Heat Transfer Characteristics in a Cylindrical Duct Packed with Solid Spheres

  • Lee, Seung-Hyuk;Kang, Kwan-Gu;Kim, Sung-Chan;Ryou, Hong-Sun;Noh, Dong-Soon
    • International Journal of Air-Conditioning and Refrigeration
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    • v.13 no.1
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    • pp.11-21
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    • 2005
  • The present paper investigates the heat transfer characteristics in a cylinder packed with porous medium of solid spheres for various parameters such as mass flow rate, sphere diameter, length of the porous medium, and gas temperatures. Pressures and temperatures at the inlet and outlet regions were measured by using static pressure gages and R-type thermocouples. The modified relationship based on the Ergun equation is suggested for the estimation of pressure drops. In addition, the useful empirical correlation for thermal efficiency is obtained in the current study. Thermal efficiency is expressed in terms of non-dimensional time, sphere diameter, porosity, and pressure drops. It is also found that the pressure drop through the cylinder becomes larger as the gas temperature does higher at the inlet region, whereas it substantially decreases when the inlet flow rate decreases.

Experimental Study of Pressure Drop in Compressible Fluid through Porous Media (다공성재를 통과하는 압축성 유체의 압력강하에 관한 실험적 연구)

  • Seo, Min Kyo;Kim, Do Hun;Seo, Chan Woo;Lee, Seoung Youn;Jang, Seok Pil;Koo, Jaye
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.8
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    • pp.759-765
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    • 2013
  • This study proposes the characteristics of the pressure drop in a compressible fluid through porous media for application to a porous injector in a liquid rocket engine in order to improve the uniformity of the drop size distribution and the mixing performance of shear coaxial injectors. The fluid through the porous media is a Non-Darcy flow that shows a Nonlinear relation between the pressure drop and the velocity at high speed and high mass flow rate. The pressure drop of the Non-Darcy flow can be derived using the Forchheimer equation that includes the losses of viscous and inertia resistance. The permeability and Ergun coefficient represented as a function of the pressure drop and pore size can be applied to the porous injector, where the fluid through the porous media is compressible. A generalized correlation between the pressure drop in relation to the pore size was derived.

NUMERICAL ANALYSIS ON PRESSURE DROP IN EXPANDED BED ACCORDING TO TUBE-TO-PARTICLE RATIOS AND REYNOLDS NUMBERS (Expanded bed에서 레이놀즈수와 직경입자비에 따른 압력강하 특성에 관한 수치적 연구)

  • Bae, S.W.;Sung, H.G.;Roh, T.S.
    • Journal of computational fluids engineering
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    • v.16 no.2
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    • pp.62-65
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    • 2011
  • Characteristics of the pressure drop in an expanded bed have been compared to those in a packed bed for numerical study of the interphase drag in gas-particle flows. A numerical analysis of the pressure drop by the particle drag has been conducted according to the tube-to-particle diameter ratios and Reynolds numbers for comparison. As the tube-to-particle diameter ratios increase at the same Reynolds number, the pressure drop tends to converge. It has been confirmed that characteristics of the pressure drop in the expanded bed are similar to those in the packed bed.

A Study on Pressure Drop Through The Porous Metal (소결금속층(燒結金屬層)에서의 압력강화(壓力降下)에 관한 연구(硏究))

  • Ohu, Su-Cheol
    • Solar Energy
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    • v.12 no.2
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    • pp.43-50
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    • 1992
  • This study has been conducted to provide fundamental knowledge of the characteristics of pressure drop through porous metal by experimental investigation. Pressure drop of air passing through porous metal was measured. The influences of porosity and flow velocity on pressure drop were investigated and in view of friction factor, the experimental data was compared with theorical equation as known to Ergun's equation concerning unconsolid packed bed. The result of this study are as follows. The pressure drop was increased with increasing the flow velocity and at the same flow velocity with decreasing the porosity(decreasing the particle diameter), In Particular, the experimental equation for the pressure drop was derived using the particle diameter, matrix diameter and matrix thickness. The experimental data were correlated well(mean deviation ${\pm}15%$ )with the present empirical dimensionless equation.

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Study on the Fluidized Bed Drying of Grains (1) - Fluidization charcteristics of Rough Rice - (곡류의 유동층 건조에 관한 연구 (1))

  • Hur, Jong-Wha;Suh, Gil-Duk
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.13 no.3
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    • pp.168-182
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    • 1984
  • For the purpose of drying high moisture rough rice effectively, from the view point of pre-drying, some basic experiments of fluidized bed drying of rough rice were carried out. The minimum fluidization velocities $(U_{mf})$ for both rough rice and glass bead were analyzed to find out fluidizing characteristics. The main results obtained were as follows ; 1) Minimum fluidization velocity of rough rice and glass bead were 2.01m/s and 4.07m/s, respectively, when using the distributor with $16\%$ opening ratio. 2) $U_{mf}$ calculated by Shirai's empirical equation and that calculated by Wen's modified equation were inconsistent with experimental data, while $U_{mf}$ calculated by Ergun's equation was consistent with the experimental data. 3) The following equations, on the basis of Leva's equation, were obtained. $$C_{mf}=1.19\times10^{-4}(Re_p)^{-0.0318)\;(rough rice)$$ $$C_{mf}=1.02imes10^{-4}(Re_p)^{-0.0047)\;(glass bead)$$

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A Study on the Prediction of Pressure Drop for Ship Strainer (선박용 스트레이너의 압력강하 예측에 관한 연구)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.5
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    • pp.573-579
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    • 2021
  • In this study, flow analysis was performed on three types of strainers for ships with different flow rates to predict the pressure drop of the strainer due to the filter of strainer. In the case of flow analysis, the flow analysis was performed by applying the porous media method by applying the resistance value derived by Ergun's equation to the filter position. As a result of the analysis, it was found that when the dimensions of the strainer body were small, the influence of the flow rate on the pressure drop was large. In addition, the amount of pressure drop and the flow rate are almost linearly proportional, and an analysis formula that can predict the amount of pressure drop was derived. In order to predict the amount of pressure drop of the strainer when blockage exist in the strainer filter, the analysis was performed by introducing the resistance ratio to derive the prediction equation. Using this equation, it is thought that it will be possible to predict the performance of the strainer due to blockage in the future strainer design and field application.

Rigorous dynamic simulation and determination of initial operating conditions for two-bed PSA processes (두 탑 PSA공정의 상세 동적모사 및 초기운전조건 결정)

  • Hwang, Deok-Jae;Moon, Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1520-1523
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    • 1997
  • A rigorous dynamic simulation was performed in binary gas mixture H$_{2}$/CO (70:30 vol.%) to determinate start-up operating conditions of PSA(Pressure Swing Adsorption) processes. The rigorous dynamic model for the PSA process contains an Ergun equation for expressing the pressure drop in a bed, and valve equations to compute the boundary pressure change of the bed. As the result of the continuous dynamic simulation of 100 operating cyles in various initial conditions, the unsteady-state appeared in the early period and the cyclic steady-state came out about 20th cycle in feed condition and vaccum condition, and 30th cycle in pure H$_{2}$ condition. As time goes by valve equations made change the pressure at each end of the bed in ressurization, countercurrunt-depressurization and pressure equalization steps. The H$_{2}$ purity and the recovery is 99.99% and 86.73% respectively, which is slightly higher than the experimental data. Main contributiion of this study includes supplying fundamental technologies of handling combined variables PSA processes by developing rigorous models.

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NUMERICAL ANALYSIS OF INTERIOR BALLISTICS WITH MOVING SOLID PROPELLANTS (고체추진제 이동을 고려한 강내탄도의 수치 해석)

  • Sung, H.G.;Jang, J.S.;Choi, D.W.;Roh, T.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.310-314
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    • 2009
  • A numerical code for the interior ballistics has been investigated. The method of the ghost cell extrapolation has been used for the moving boundary with the projectile movement. The porosity effect and the Ergun's Equation have been used in the numerical calculation for the grain combustion. The calculation results of the numerical code have been compared and verified through those of the lumped parameter method. Computerization techniques of the numerical analysis for the interior ballistics have been developed.

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