• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.305-312
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• 2007

Using a weaker version of the Newton-Kantorovich theorem [6] given by us in [3], we show how to refine the results given in [8] dealing with the analyzing of the effect of small perturbations in problem data on the solution. The new results are obtained under weaker hypotheses and the same computational cost as in [8].

• 한국음향학회지
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• 제3권1호
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• pp.9-15
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• 1984

Thermoacoustic oscillation induced by a heater in a tube with air current is studied theoretically. Linearized perturbation equations are derived in dimensionless form under the assumption that the system is one dimensional. The equation to predict the acoustic power generation from a heating surface is derived and calculated by solving differential equations numerically. The effect of the mean velocity of the air current is illustrated. The energy conversion mechanism is shown by pressure-volume diagram like a heat engine.

• Journal of Theoretical and Applied Mechanics
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• 제1권1호
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• pp.1-27
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• 1995

In this paper a finite element method for free-surface problems is described. the method is based on two different forms of Hamilton's principle. To test the present computational method two specific wave problems are investigated; the dispersion relations and the nonlinear effect for the well-known solitary waves are treated. The convergence test shows that the present scheme is more efficient than other existing methods, e.g. perturbation scheme.

• 소음진동
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• 제10권1호
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• pp.168-173
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• 2000

This paper deals with the theoretical study on the effect of the viscosity of an adjacent viscous fluid on the characteristics of the torsional vibration of a rod with fixed-free boundary conditions. Expressions for the natural frequency and damping factor have been obtained as functions of the viscosity of the fluid by exact and asymptotic analyses. The results provide quantitative information of the natural frequency reduction and damping rate affected by the fluid viscosity.

• Tribology and Lubricants
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• 제12권1호
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• pp.29-35
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• 1996

The static and dynamic stability analysis of air-lubriceted tilting pad journal bearing which considers tilting effect of each pad and preload but neglects pad inertia were performed. And these characteristic analysis were performed with elasticity effect too. A direct numerical method is used in calculating the static characteristics such as load carrying capacity, firction force and perturbation method is used for calculation of dynamic characteristics. The stability analysis was performed with the variation of bearing number, eccentricity ratio and attitude angle considering pad elasticity effect.

• Korea-Australia Rheology Journal
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• 제20권4호
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• pp.189-196
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• 2008

The pulsatile flow of blood through a stenosed artery under the influence of external periodic body acceleration is studied. The effect of non-Newtonian nature of blood in small blood vessels has been taken into account by modeling blood as a Casson fluid. The non-linear coupled equations governing the flow are solved using perturbation analysis assuming that the Womersley frequency parameter is small which is valid for physiological situations in small blood vessels. The effect of pulsatility, stenosis, body acceleration, yield stress of the fluid and pressure gradient on the yield plane locations, velocity distribution, flow rate, shear stress and frictional resistance are investigated. It is noticed that the effect of yield stress and stenosis is to reduce flow rate and increase flow resistance. The impact of body acceleration is to enhance the flow rate and reduces resistance to flow.

• 한국해양공학회지
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• 제13권2호통권32호
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• pp.129-137
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• 1999

The time of the onset of double-diffusive convection in time-dependent, nonlinear concentration fields is investigated theoretically. The initially quiescent horizontal fluid layer with a uniform temperature gradient experiences a sudden concentration change from below, but its stable thermal stratification affects concentration effects in such way to invoke convective motion. The related stability analysis, including Soret effect, is conducted on the basis of the propagation theory. Under the linear stability theory the concentration penetration depth is used as a length scaling factor, and the similarity transform for the linearized perturbation equations. The newlly obtained stability equations are solved numerically. The resulting critical time to mark the onset of regular cells are obtained as a function of the thermal Rayleigh number, the solute Rayleigh number, and the Soret effect coefficient. For a certain value of the Soret effect coefficient, the stable thermal gradient promote double-diffusive convective motion.

• Journal of Astronomy and Space Sciences
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• 제22권4호
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• pp.463-472
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• 2005

본 논문에서는 행성탐사선의 항행해 결정을 위한 동역학 모델을 개발에 대한 내용을 다뤘다. 탐사선이 우주공간을 항행할 때 받는 섭동력으로써, 지구의 비대칭 중력장, 지구의 극축운동, 태양과 달이외의 태양계 행성에 의한 중력, 태양의 의한 상대성효과, 태양복사압 그리고 지구 대기저항에 대한 동역학 모델을 구성하여, 특수섭동론인 코웰 방법에 의거한 탐사선의 궤적 전파기를 개발하였다. 힘 또는 가속도 항으로 표현되는 탐사선의 운동방정식은 아담스 코웰 11차 예측자-수정자 방법에 의해 수치 적분된다. 구성된 전파기를 이용하여 2003년 발사된 화성탐사선인 Mars Express의 실제 임무설계에 사용된 초기궤적요소를 기준으로 임무 궤적을 산출하여 각 섭동력의 영향을 비교해 보았다 이러한 비교는 항행해 결정 시스템의 구성 시 요구 정밀도에 따라 고려해야할 섭동력의 기준을 제시해 주기 때문이다. 또한, 개발된 동역학 모델의 성능시험을 위해 극성 최소 근접거리에서의 위치와 속도를 계산하여 화성 도착여부를 판단하였다. 모의실험을 통해 탐사선의 위치가 화성 작용권구 내에 도달하며 상대속도가 화성에 대한 탈출속도 미만이므로 화성에 포획됨을 확인하였으며, STK(Satellite Tool Kit)를 이용해 산출된 결과와 비교함으로써 본 연구결과가 행성탐사 임무지원에 적합함을 검증하였다.

• 전기의세계
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• 제20권6호
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• pp.19-21
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• 1971

Permittivities are closely related to lattice vibrations and dispersions relations, and this paper deals with the tensor permittivities which include the effect of diffusion. It is a great convenience in the consideration of plasma waves to treat the plasma as a dielectric medium with its circumference. And, on the assumption that the motion of the ionized donors be neglected the general expression from which the tensor permittivity can be derived is derived from the view point that the plasma can be treated as a hydrodynamical fluid. The effect of diffusion appears as perturbation terms in the tensor permittivities of the non-streaming solid state electron magnetoplasmas and affects no influence on the anisotropic terms in the specific configuration.

• 전기의세계
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• 제20권5호
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• pp.15-18
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• 1971

Up to now, there have been numerous investigations about the effect of diffusion on the wave propagation in gaseous plasmas, but not so much in semiconductor magnetoplasmas. However, currently, it becomes the centor of interest to work with the latter problem, and this paper deals with the dispersion equation including diffusion effect in the latter case to see how diffusion affects the equation in which diffusion term is neglected in the first place, and the analysis is based on the assumption that the plasma can be treated as a hydrodynamical fluid, since, from a macroscopic view point, the plasma interacting with a magnetic field can be considered as a magneto-hydrodynamical fluid, an electrically conducting fluid subjected to electromagnetic force, and the system is linear. The results of the relation and computation show that in the non-streaming case the diffusion terms appear in the equation as perturbation terms and the amplitude of the wave vector changes parabolically with the variation of the angular frequency and the longitudinal modes are observed.