• Title/Summary/Keyword: Forchheimer의 식

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Computational Method for Rate of Overtopping Using Time Dependent Mild-Slope Equation (시간의존 완경사방정식을 이용한 월파량 산정 방법)

  • Kwak, Moon-Su;Lee, Hong-Gyu;Park, Sung-Yoon;Pyun, Chong-Kun
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.18 no.4
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    • pp.372-382
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    • 2006
  • Most of the conventional breakwaters impermeable breakwaters which block seawater exchange between the outside and inside of the harbors. The blocking of seawater exchange may cause pollution of water in harbors. To solve the water pollution problem, various kinds of seawater exchange breakwaters have been proposed. Their types can be classified into the current type which uses tidal current, and the overtopping type which uses the wave energy. The overtopping type breakwaters require a discharge coefficient to calculate the rate of overtopping into the harbor. The present study is to compute the rate of overtopping with introduction of a correct discharge coefficient and to evaluate the effect of the overtopping type breakwater on the water qualify inside a harbor. The rate of overtopping was computed by using Forchheimer formula with time dependent mild-slope equation for various wave conditions. The formula has been generally used to calculate the overflow discharge in steady state river flows. The discharge coefficient, which is the key parameter of the calculation, was determined by a series of hydraulic model tests. The present scheme was applied to the seawater exchange section of the western breakwater of Jeju New Harbor's and the efficiency of that section was examined. The calculated results showed that the rate of overtopping into the harbor reached about $27.5m^3/s$ in the wave condition (wave height 3.7 m, wave period 8.5s, and wave direction NNW).

Nonlinear Interaction between the Permeable Submerged Breakwater and Third Order Stokes Waves (사석잠제와 Stokes 3차파와의 비선형간섭에 관한 연구)

  • Jeong, Yeon-Tae
    • Journal of Korea Water Resources Association
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    • v.31 no.3
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    • pp.223-234
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    • 1998
  • Recently, the interests of the construction of the permeable submerged breakwaters have been increased to preserve and to improve the coastal environment, and to control the incident waves and littoral transport. It is very important to predict the wave transformation precisely over the permeable submerged breakwaters. This study discusses nonlinear wave transformation and characteristics by using BEM based on the frequency domain method of the 3rd-order Stokes waves. The Dupuit-Forchheimer formula is applied to the analysis of the fluid resistance of rubble stones, and the equation about equivalent linear frictional coefficient is newly modified based on the Lorentz's condition for the equivalent work. The numerical results are compared with the experimental ones for verification. These two results give a close agreement each other. It is confirmed that the present method of the 3rd-order Stokes waves estimates more precisely than that of the 2nd-order Stokes waves.

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Effects of Double-diffusive Convection on the Mass Transport of Copper Ions in a Horizontal Porous Layer (수평 다공성유체층에서 이온의 물질전달에 대한 이중확산대류 효과)

  • Yoon Do-Young;Kim Min Chan;Choi Chang Kyun
    • Journal of the Korean Electrochemical Society
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    • v.2 no.2
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    • pp.98-105
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    • 1999
  • In the present study, buoyant force and its stabilizing effects in an electrostatic field were examined systematically in order to reduce the effect of natural convection with thermal stratification in a horizontal fluid-saturated porous layer. The correlation of ionic mass transport induced by double-diffusive convection in a horizontal porous layer has been derived theoretically. And the theoretical model was examined by electrochemical experiments. The theoretical correlation for mass transport which is satisfying Forchheimer's flow equation and based on the micro-turbulence model is derived as a function of soltual Darcy-Rayleigh number, thermal Darcy-Rayleigh number and Lewis number. In the experiment, the mass transport of copper ions in $CuSO_4-H_2SO_4$ solution is measured by electrochemical technique. By assembling theoretical correlation and experimental results, the mass transport correlation induced by double-diffusive convection is proposed as $$Sh=\frac{0.03054(Rs_D-LeRa_D)^{1/2}}{1-3.8788(Rs_D-LeRa_D)^{-1/10}}$$ The present correlation looks flirty reasonable with comparing experimental results, and very promising for the applications of its prototype into various systems involving heat transfer as well as mass transfer, in order to control the effects of natural convection effectively.

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.