• 전기의세계
• /
• 제9권
• /
• pp.40-45
• /
• 1962

Laplace 및 Possion의 방정식을 만족하는 전장 및 자장으로 구성된 2차원 및 축대칭 3차원의 potential장을 물의 유동장을 이용한 fluid mapper로 상사해석함에 있어서 세극유로에 있어서의 유체전도율은 매질전도율로 압력은 전위로 유동장의 세기는 전장의 세기로, 유량밀도는 전류밀도로 각각 상사되며 또한 사상형에 있어서는 사상영역외에 존재하는 유선은 등자위선을 의미함을 논문에서 밝혔다. 이 논문에서는 사상형 fluid mapper의 전 유로 및 사상영역에 잇어서의 유체력학적 현상을 이론적으로 규명하여 이를 전기적 등가회로와 상사 해석함으로써 사상형 fluid mapper가 내포하고 있는 제량간의 상호관계를 명백히 하며 몇 가지 대표적인 사례를 들어 사상형 fluid mapper의 응용에 대하여 기술하였다.

• Macromolecular Research
• /
• 제11권1호
• /
• pp.53-61
• /
• 2003

A molecular-thermodynamic model is developed for the salt-induced protein precipitation. The protein molecules interact through four intermolecular potentials. An equation of state is derived based on the statistical mechanical perturbation theory with the modified Chiew's equation for the fluid phase, Young's equation for the solid phase as the reference system and a perturbation based on the protein-protein effective two body potential. The equation of state provides an expression for the chemical potential of the protein. In a single protein system, the phase separation is represented by fluid-fluid equilibria. The precipitation behaviors are simulated with the partition coefficient at various salt concentrations and degree of pre-aggregation effect for the protein particles. In a binary protein system, we regard the system as a fluid-solid phase equilibrium. At equilibrium, we compute the reduced osmotic pressure-composition diagram in the diverse protein size difference and salt concentrations.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2001년도 춘계학술대회논문집A
• /
• pp.628-635
• /
• 2001

Hydrodynamic behavior and response of vertical-cylindrical liquid-storage tank is considered. The equation of the liquid motion is shown by Laplace's differential equation with the fluid velocity potential. The solution of the Laplace's differential equation of the liquid motion is expressed with the modified Bessel functions. Only rigid tank is studied. The effective masses and heights for the tank contents are presented for engineering design model.

• 한국소음진동공학회논문집
• /
• 제21권5호
• /
• pp.422-429
• /
• 2011

The critical fluid velocity of cantilevered cylindrical shells subjected to internal fluid flow is investigated in this study. The fluid-structure interaction is considered in the analysis. The cantilevered cylindrical shell is supported intermediately at an arbitrary axial position. The intermediate support is simulated by two types of artificial springs: translational and rotational spring. It is assumed that the artificial springs are placed continuously and uniformly on the middle surface of an intermediate support along the circumferential direction. The steady flow of fluid is described by the classical potential flow theory. The motion of shell is represented by the first order shear deformation theory (FSDT) to account for rotary inertia and transverse shear strains. The effect of internal fluid can be considered by imposing a relation between the fluid pressure and the radial displacement of the structure at the interface. Numerical examples are presented and compared with existing results.

• 대한화학회지
• /
• 제46권6호
• /
• pp.545-549
• /
• 2002

고분자액체에 대한 이론들은 많은 경우 cell, hole, free volume 또는 lattice 등의 개념에 근거를 두고 있다. 여기에 van der Waals 포텐셜이나 Lennard-Jones 6-12포텐셜 또는 이를 개선한 형태의 포텐셜을 보통 사용되고 있다. 본 연구에서는 고분자 액체를 설명?求?성공적인 이론으로 알려져 있는 격자유체이론에서 불연속적 격자를 고전적으로 연속적으로 격자로까지 확장한 연속격자유체이론과 Flory의 상태방정식이론을 개선한 Dee-Walsch의 Cell 이론에 각각 Mie(p,6)포텐셜을 적용하여 반발포텐셜항의 지수 p에 따른 PVT 값을 계산하여 실험값과 비교를 하였다. 또한 격자유체이론, Flory의 상태방정식이론, 섭동법을 이용한 Cho-Sanchez 이론의 계산값과도 비교를 하였다. 계산결과를 통하여 고분자액체에 대한 포텐셜로 Van der Waals 포텐셜, Lennaed-Jones 6-12 포텐셜, Mie(p,6)포텐셜들을 비교하였다.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 1995년도 추계 학술대회논문집
• /
• pp.132-137
• /
• 1995

Numerical analysis is conducted on the deformation of free surface of magnetic fluid. Steady magnetic fields are induced by a circular current loop. Governing equations of magnetic fields are solved by using the concept of vector potential. The free surface of magnetic fluid is formed by the balance of surface force, gravity, pressure difference, magnetic normal pressure and magnetic body force. The deformations of free surface of magnetic fluid are qualitatively clarified. And, the patterns of steady non-uniform magnetic fields induced by a circular current loop are quantitatively presented.

• 대한수학회논문집
• /
• 제38권1호
• /
• pp.235-242
• /
• 2023

In this paper, we studied several geometrical aspects of a perfect fluid spacetime admitting a Ricci ρ-soliton and an η-Ricci ρ-soliton. Beside this, we consider the velocity vector of the perfect fluid space time as a gradient vector and obtain some Poisson equations satisfied by the potential function of the gradient solitons.

• 대한조선학회지
• /
• 제18권1호
• /
• pp.19-27
• /
• 1981

The surge motion of a freely-floating sphere in a regular wave is studied within the framework of a linear potential theory. The fluid is assumed to be perfect and only the steady-state harmonic motion in a water of infinite depth is considered. A velocity potential describing the fluid motion is decomposed into three parts; the incident wave potential, the diffraction potential and the radiation potential. In this paper the diffraction potential and the radiation potential are analysed by using multipole expansion method. Upon calculating pressures over the immersed surface of the sphere, the hydrodynamic forces are evaluated in terms of Froude-Krylov, diffraction, added mass and damping forces as functions of the frequency of the incident wave. Finally the frequency dependence of two pertinent parameters, the amplitude ratio and the phase lag between the motion of the sphere and that of the incident wave is derived from the equation of motion. As for numerical results the general tendency of the present calculation shows good agreement with Kim's work who also treated this problem utilizing the Green's function method.

• 전기학회논문지
• /
• 제65권7호
• /
• pp.1211-1217
• /
• 2016

Discharge characteristics of inductively coupled plasma were investigated by using electrostatic probe and fluid simulation. The Inductively Coupled Plasma source driven by 13.56 Mhz was prepared. The signal attenuation ratios of the electrostatic probe at first and second harmonic frequency was tuned in 13.56Mhz and 27.12Mhz respectively. Electron temperature, electron density, plasma potential, electron energy distribution function and electron energy probability function were investigated by using the electrostatic probe. Experiment results were compared with the fluid simulation results. Ar plasma fluid simulations including Navier-Stokes equations were calculated under the same experiment conditions, and the dependencies of plasma parameters on process parameters were well agreed with simulation results. Because of the reason that the more collision happens in high pressure condition, plasma potential and electron temperature got lower as the pressure was higher and the input power was higher, but Electron density was higher under the same condition. Due to the same reason, the electron energy distribution was widening as the pressure was lower. And the electron density was higher, as close to the gas inlet place. It was found that gas flow field significantly affect to spatial distribution of electron density and temperature.

• Structural Engineering and Mechanics
• /
• 제81권6호
• /
• pp.769-780
• /
• 2022

This paper studies the dynamic behavior of laminated composite circular cylindrical shells interacting with a fluid. The mathematical formulation of the dynamic problem for an elastic body is developed based on the variational principle of virtual displacements and the relations of linear elasticity theory. The behavior of an ideal compressible fluid is described by the potential theory, the equations of which together with boundary conditions are transformed to a weak form. The hydrodynamic pressure exerted by the fluid on the internal surface of the shell is calculated according to the linearized Bernoulli equation. The numerical implementation of the mathematical formulation has been done using the semi-analytical finite element method. The influence of the ply angle and lay-up configurations of laminated composites on the natural vibration frequencies and the hydroelastic stability boundary have been analyzed for shells with different geometrical dimensions and under different kinematic boundary conditions set at their edges. It has been found that the optimal value of the ply angle depends on the level of filling of the shell with a fluid. The obtained results support the view that by choosing the optimal configuration of the layered composite material it is possible to change upwards or downwards the frequency and mode shape, as well as the critical velocity for stability loss over a wide range.