• Title/Summary/Keyword: distribution-free method

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A Study on Free Surface Effect of 2-D Airfoils (2차원 익형의 자유수면 효과에 관한 연구)

  • Park, Il-Ryong;Jeon, Ho-Hwan
    • Journal of Ocean Engineering and Technology
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    • v.9 no.2
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    • pp.75-82
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    • 1995
  • The free surface effects on the aerodynamic performance of 2-D wings are investigated based on the potential flow approximation. The wing is represented b source and vortex distributions on the wing surface. The steady free surface effect is taken into account by source distribution on the free surface and the velocity potentials of air and water flows are obtained. Using three different techniques, namely, positive image method, inverse image method and source distribution method, numerical results are obtained for wave elevation, pressure distribution and lift coefficient with various foil sections. The wave elevation calculated by the inverse image method is shown to be very small even at higher speeds so that the free surface effect on the performance of wings is regraded negligible. However, the wave elevations by the positive image method and source distribution method are relatively high at higher speeds and accordingly the free surface effects on wings can not be neglected.

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The pressure distribution on the rectangular and trapezoidal storage tanks' perimeters due to liquid sloshing phenomenon

  • Saghi, Hassan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.2
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    • pp.153-168
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    • 2016
  • Sloshing phenomenon is a complicated free surface flow problem that increases the dynamic pressure on the sidewalls and the bottom of the storage tanks. When the storage tanks are partially filled, it is essential to be able to evaluate the fluid dynamic loads on the tank's perimeter. In this paper, a numerical code was developed to determine the pressure distribution on the rectangular and trapezoidal storage tanks' perimeters due to liquid sloshing phenomenon. Assuming the fluid to be inviscid, the Laplace equation and the nonlinear free surface boundary conditions were solved using coupled boundary element - finite element method. The code performance for sloshing modeling was validated using Nakayama and Washizu's results. Finally, this code was used for partially filled rectangular and trapezoidal storage tanks and free surface displacement, pressure distribution and horizontal and vertical forces exerted on the tanks' perimeters due to liquid sloshing phenomenon were estimated and discussed.

Pressure Distribution in the Clearance of Packing-free Hydraulic Pistons (무패킹 유압피스톤의 미세간격내 압력분포에 관한 연구)

  • 우삼용;최인묵;김부식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1030-1033
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    • 2003
  • The packing-free piston has become widely distributed in certain branches of instrument making and precision machine building. A large number of the most diversified instruments are now being constructed on the principle of the packing-free piston like piston manometers, vacuum manometers, hydraulic machines, dynamometers. hardness measuring instruments. power indicators, hydraulic scales, and many others. In spite of the widespread application of systems with a packing-free piston, there were practically no special papers to the theory and practice of the application of such systems. This paper describes the theoretical approaching method to get the pressure distribution profile between the piston and cylinder using finite element method.

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An improved Rankine source panel method for three dimensional water wave problems

  • Feng, Aichun;You, Yunxiang;Cai, Huayang
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.70-81
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    • 2019
  • An improved three dimensional Rankine source method is developed to solve numerically water wave problems in time domain. The free surface and body surface are both represented by continuous panels rather than a discretization by isolated points. The integral of Rankine source 1/r on free surface panel is calculated analytically instead of numerical approximation. Due to the exact algorithm of Rankine source integral applied on the free surface and body surface, a space increment free surface source distribution method is developed and much smaller amount of source panels are required to cover the fluid domain surface than other numerical approximation methods. The proposed method shows a higher accuracy and efficiency compared to other numerical methods for various water wave problems.

On the Method of Rankine Source Distribution for Free Surface Flow Problem: Radiation Condition and Influence of Finite Distribution (자유표면문제해석(자유표면문제해석)을 위한 Rankine용출점(湧出點) 분포법(分布法) -방사조건(放射條件)과 유한분포(有限分布)의 영향-)

  • Chang-Sup,Lee;Seung-Il,Yang;Chang-Gu,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.2
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    • pp.13-18
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    • 1982
  • The method of Rankine source distribution is emerging as a powerful yet simple alternative for the solution of complicated free surface problems. But it has been uncertain whether the radiation condition could be satisfied exactly by distributing the simple sources on the free surface only. In this paper, it is proved rigorously that the Rankine sources, whose intensities are varying sinusoidally along the axis satisfying the free surface boundary condition, generate the radiation waves both in the infinite and finite-depth flows. A formula is derived to give the upper and lower bounds of the errors in the induced velocity computation that will be introduced by truncating the extent of source distribution on the free surface. Since the truncation is inevitable in the numerical analysis, this formula may be used as a criterion to limit the position of the field points, where velocity computation is made, away from the truncation boundary. A typical analysis shows that the maximum error will be 3.4 percent of the exact induced velocity when the field point is on the free surface two wave lengths away from the truncation boundary.

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Calculation of the Entropies and Chemical Potentials of Hard-Sphere Solutes Solvated in Hard-Sphere Solids Using the Radial Free-Space Distribution Function

  • 윤병집
    • Bulletin of the Korean Chemical Society
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    • v.20 no.10
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    • pp.1209-1212
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    • 1999
  • The entropies and chemical potentials of hard-sphere solutes solvated in hard-sphere solids were calculated by Monte Carlo method using the radial free-space distribution function. This method is based on calculating the entropy by comparing the free volume of a molecule with that of an ideal gas, and is applicable even when the size of solute is very large and the solvent is a solid. When the diameter of hard-sphere solute is small the solute molecule behaves as like as a fluid in solid structures, but when the diameter of solute becomes large, a fluid-to-solid phase transition takes place. The fluid-to-solid phase transition occurs at the region of the smaller size of solute with the more increase of solvent density. The least square fit values of analytical form of the radial free-space distribution functions of solute molecules are presented for future uses.

Simulation of the Brownian Coagulation of Smoke Agglomerates in the Entire Size Regime using a Nodal Method (결절법을 이용한 전영역에서의 연기입자 응집체에 대한 브라운응집현상 해석)

  • Goo, Jae-Hark
    • Journal of Korean Society for Atmospheric Environment
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    • v.27 no.6
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    • pp.681-691
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    • 2011
  • The size distributions of smoke particles from fire are prerequisite for the studies on fire detection and adverse health effects. Above the flame of the fire, coagulation dominates and the smoke particles grow from 1 to 50 nm up to 100 to 3,000 nm, sizes ranging from the free-molecular regime to the continuum regime. The characteristics of the agglomeration of the smoke particles are well known, independently for each of the free-molecular and continuum regimes. However, there are not many systematic studies in the entire regime by the complexity of the mechanisms. The purpose of this work is to find the characteristics of the development of the size distribution of smoke particles by agglomeration in the entire size range covering the free-molecular regime, via transition regime, to the near-continuum and continuum regime for each variation of parameters such as fractal dimension, primary particle size and dimensionless coagulation time. In this work, the dynamic equation for the discrete-size spectrum of the particles was solved using a nodal method based on the modification of a sectional method. In the calculation, the collision frequency function for the entire regime, which is derived by using the concept of collision volume and general enhancement function, was applied. The self-preserving size distribution for the entire regime is compared with the ones for the free-molecular or continuum regimes for each variation of the parameters.

Analysis of Free Forging of Cylindrical Billets by Using finite Element Method (유한요소법을 이용한 원통형 강편의 자유단조 해석)

  • 정동원
    • Journal of Ocean Engineering and Technology
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    • v.16 no.6
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    • pp.49-54
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    • 2002
  • The Finite Element Method is applied to the determination of the deformed bulge profile and strain distribution during upset forming of cylindrical billets. From the results of simulation, the bulging along the z-axis becomes more severe with increasing eight reduction, and with increasing friction at the die-material interface. The present method can be used for the simple prediction of the deformed shape and strain distribution in upset forging of cylindrical billets with dissimilar fictional conditions at the die-material interfaces.

Effect of porosity distribution on free vibration of functionally graded sandwich plate using the P-version of the finite element method

  • Hakim Bentrar;Sidi Mohammed Chorfi;Sid Ahmed Belalia;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Ali Alnujaie
    • Structural Engineering and Mechanics
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    • v.88 no.6
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    • pp.551-567
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    • 2023
  • In this work, the free vibration analysis of functionally graded material (FGM) sandwich plates with porosity is conducted using the p-version of the finite element method (FEM), which is based on the first-order shear deformation theory (FSDT). The sandwich plate consists of two face-sheet layers of FGM and a homogeneous core layer. The obtained results are validated using convergence and comparison studies with previously published results. Five porosities distribution models of FGM sandwich plates are assumed and analyzed. The effect of the thickness ratio, boundary conditions, volume fraction exponents, and porosity coefficients of the top and bottom layers of FGM sandwich plates on the natural frequency are addressed.

Optimization of the Mixing Flow in an Agitated Tank

  • Yoo, Dal-Hyun;Yang, Si-Young;Choi, Youn-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.151-157
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    • 2005
  • In the chemical, mineral and electronics industries, mechanically stirred tanks are widely used for complex liquid and particle mixing processes. In order to understand the complex phenomena that occur in such tanks, it is necessary to investigate flow field in the vessel. Most difficulty on the numerical analysis of stirred tank flow field focused particularly on free surface analysis. In order to decrease the dead zone and improve the flow efficiency of a system with free surface, this paper presents a new method that overcomes free surface effects by properly combining the benefits of using experiment and 3-D CFD. This method is applied to study the mixing flow in an agitated tank. From the results of experimental studies using the PIV (particle image velocimetry) system, the distribution of mixing flow including free surface are obtained. And these values that are expressed as a velocity vector field have been patched for simulating the free surface. The results of velocity distribution obtained by 3-D CFD are compared with those of experimental results. The experimental data and the simulation results are in good agreement.

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