• Title/Summary/Keyword: 섭동이론

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Discrete-vortex Simulation of Turbulent Separation Bubble Excited by Acoustic Perturbatioons (음향교란을 받는 난류박리기포의 이산와류 수치해석)

  • 임재욱;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.775-786
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    • 1992
  • Studies are made of the turbulent separation bubble in a two-dimensional semi-infinite blunt plate aligned to a uniform free stream when the oncoming free stream contains a pulsating component. The discrete-vortex method is applied to simulate this flow situations because this approach is effective to represent the unsteady motions of turbulent shear layer and the effect of viscosity near the solid surface. The two key external paramenters in the free stream, i.e., the amplitude of pulsation, A, and the frequency parameter St[=fH/ $U_{1}$], are dealt with in the present numerical computations, A particular frequency gives a minimum reattachment which is related to the drag reduction and the most effective frequency is dependent on the most amplified shedding frequency. The turbulent flow structure is scrutinized. A comparison between the unperturbed flow and the perturbed at the particular frequency of the minimum reattachment length of the separation bubble suggests that the large-scale structure is associated with the shedding frequency and the flow instabilities.

Study on Dynamics Modeling of Pogo Suppression Device (PSD) (포고억제장치(PSD) 동특성 모델링에 관한 연구)

  • Lee, Jun-Kyoung
    • Journal of the Korean Society of Propulsion Engineers
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    • v.11 no.5
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    • pp.23-30
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    • 2007
  • The effectiveness of a pogo suppression device (PSD) on the response of piping system simulating the propellant supply lines of the rocket engines was investigated experimentally by other researchers. In this study, the simplified analytical model was made, and the key parameters which are difficult to derive theoretically were identified in combination with the previous experimental work. In other words, the flow transient equations for a PSD system and the key parameters used to decide the instability of the system from the linearized transfer function including inertance, compliance, and resistance were derived. From the analysis, the values of key parameters could be determined from the experimental results.

Robust Output Regulator with Frequency Adaptation Algorithm for Optical Disc Drives (광디스크를 위한 주파수 적응 알고리즘과 함께하는 강인 출력 제어기)

  • Kim, Sang-Hyun;Kim, Hyung-Jong;Shim, Hyung-Bo
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.48 no.4
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    • pp.17-24
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    • 2011
  • This paper presents a control scheme to cancel periodic disturbance with unknown frequency for optical disc drives. The control scheme consists of an output regulator and a frequency adaptive algorithm. Here, the frequency adaptive algorithm based on IMP plays a role in obtaining a frequency of periodic disturbance. The stability analysis of whole system and disturbance rejection performance are proven by the singular perturbation theory. The contribution of this paper are as follows. (1) There is no design constraints of the frequency range. (2) Ability for perfect disturbance rejection is preserved even with uncertain plant model.

An Experimental Study on Nozzle Damping Characteristics for Combustion Instability Suppression (노즐감쇠 실험을 통한 연소 불안정 억제 연구)

  • Ryoo, Seunghyun;Kim, Junseong;Kim, Hakchul;Moon, Heejang;Lee, Dohyung
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2017.05a
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    • pp.724-729
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    • 2017
  • The interaction between the flow of the nozzle and the acoustic motion in the combustion chamber acts as an important factor in suppressing combustion instability where nozzle damping effect can be evaluated by nozzle admittance. In this study, Modified Impedance Tube experiment is implemented to predict the acoustic nozzle damping effect. The experimental admittances are compared to numerical admittances values which are calculated from one-dimensional linearized Euler equation of Crocco's theory. As a result, it was possible to identify qualitatively the tendency between increasing and decreasing parts. Also, Efficient frequency bands of nozzle attenuation can be predicted.

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Numerical Study for Kerosene/LOx Supercritical Mixing Characteristics of Swirl Injector (동축와류형 분사기의 케로신/액체산소 초임계 혼합특성 수치적 연구)

  • Heo, Jun-Young;Kim, Kuk-Jin;Sung, Hong-Gye;Choi, Hwan-Seok
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2011.04a
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    • pp.103-108
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    • 2011
  • The turbulent mixing of a kerosene/liquid oxygen coaxial swirl injector under supercritical pressures have been numerically investigated. Kerosene surrogate models are proposed for the kerosene thermodynamic properties. Turbulent numerical model is based on LES(Large Eddy Simulation) with real-fluid transport and thermodynamics over the entire pressure range; Soave modification of Redlich-Kwong equation of state, Chung's model for viscosity/conductivity, and Fuller's theorem for diffusivity to take account Takahashi's compressible effect. The effect of operating pressure on thermodynamic properties and mixing dynamics inside an injector and a combustion chamber are investigated. Power spectral densities of pressure fluctuations in the injector under various chamber pressure are analyzed.

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Evaluation of Nozzle's Combustion Instability Suppression Effect by Linearized Euler Equation (선형 오일러 방정식을 이용한 노즐의 연소불안정 감쇠 효과 평가)

  • Kim, Junseong;Moon, Heejang
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.6
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    • pp.1-10
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    • 2019
  • The wave motion inside the nozzle is known as one of the major damping elements of the rocket's combustion instability by it's aeroacoustic effects that result from the flow passage through the nozzle throat. These effects can be quantitatively evaluated by the nozzle admittance. In this study, one-dimensional linearized Euler equation was adopted to calculate the nozzle admittance, and trend analysis was performed depending on the nozzle's main design variables. As a result, when nozzle converging part shortens, it is verified that the frequency dependency of the nozzle admittance is decreased due to the widened frequency range with lowered longitudinal nozzle admittance. Also, admittance estimation using the short nozzle theory is not appropriate when the first tangential mode of the pressure perturbation arises.

Structural Reliability Analysis of Linear Dynamic Systems with Random Properties (확률론적 선형 동적계의 구조신뢰성 해석)

  • Kim, In-Hack;Yang, Young-Soon
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.4
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    • pp.91-98
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    • 1997
  • Most dynamic systems have various random properties m excitation and system parameters. In this paper, a procedure for structural response and reliability analysis is proposed for the linear dynamic system with random properties in both excitation and system parameters. The system parameter and response with random properties are modeled by the perturbation technique, and then the response analysis is formulated by probabilistic and vibration theories. Probabilistic FEM is also used for the calculation of mean response which is difficult by the proposed response model. The first passage analysis by the integral equation method is used to analyze the probability of failure. The integral equation method results in the first passage probability in terms of crossing rates and first passage probability densities. In this study it is assumed that excitations, system parameters and responses are Gaussian. As an application example, the probabilities of failure at transient state are calculated for a sdof system with random mass and spring constant subjected to stationary white-noise excitation and the results are compared to those of numerical simulation.

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PMO Theory of Orbital Interactions (Ⅳ). n-n Orbital Interactions in Some Heteroatom Systems (궤도간 상호작용의 섭동분자궤도 이론 (제4보). 헤테로 원자계에서의 n-n 궤도간 상호작용)

  • Ikchoon Lee;Chang Kook Sohn;Wang Ki Kim
    • Journal of the Korean Chemical Society
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    • v.27 no.5
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    • pp.330-339
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    • 1983
  • The CNDO/2 and STO-3G calculations were performed on nitrogen, oxygen, and sulfur compounds in order to examine the effect of interactions between two nonbonding (n) orbitals in the same molecule separated by N intervening $\sigma$ bonds based on the PMO approach. Calculated basis level energies, energy splittings, and interaction energy changes for both chain and cyclic model compounds were qualitatively compared with the corresponding predictions derived from perturbational formalism for n-n orbital interactions and successfully explained in terms of the derived energy expressions. In general, through-space interaction term could be neglected in the N and O systems. And the calculated results were explained simply by through-bond interaction term. As a result, through-bond interaction placed n- below n+ for odd systems and n+ below n- for even systems. Also energy splittings in odd systems were larger than those in even systems. However, in the cases of cis-ethylene diamine and o-phenylene diamine(conformer VI in Table 4), through-space interaction term was found to be substantial and the opposing effects of through-space and through-bonds interactions were observed. Finally it was found that the interactions between two n orbitals on S atoms always had some contribution of the destabilizing through-space interaction term. This result was consistent with the fact that the lone pair lobes of third elements were larger in size than those of the second period elements.

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Measurements and Modeling of the Activity Coefficients and Solubilities of L-alanine in Aqueous Electrolyte Solutions (전해질 수용액에서 L-Alanine의 활동도계수와 용해도의 측정 및 모델링)

  • Lee, Bong-Seop;Kim, Ki-Chang
    • Korean Chemical Engineering Research
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    • v.48 no.4
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    • pp.519-533
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    • 2010
  • Activity oefficients and solubilities of L-Alanine in aqueous solutions containing each of four electrolytes(NaCl, KCl, $NaNO_3$ and $KNO_3$) were measured at 298.15 K. The measurements of activity coefficients were carried out in the electrochemical cell coupled with two ion-selective electrodes(cation and anion), and the solubilities were measured by the gravimetric analysis of saturated solutions in equilibrium with the solid phase of L-alanine. To model the activity coefficients and solubilities of amino acid in the amino acid/electrolyte aqueous solutions, thermodynamic relations of the residual Helmholtz free energy in the amino acid/electrolyte aqueous solutions were developed based on the perturbed-chain statistical associating fluid theory(PC-SAFT) combined with the primitive mean spherical approximation(primitive-MSA). In the present model, it is assumed that the zwitterions of L-alanine are associated with each other and cross-associated with water molecules, and also cross-associated with the cation and anion dissociated from an electrolyte(inorganic salt). The activity coefficients and solubilities of L-Alanine calculated from the theoretical model proposed in this work are found to be well agreeable with experimental data.

A Response Prediction Model for the Vortex-Induced Vibration of Marine Risers in Sheared Flow (전단류중 Marine Riser의 와류유기 진동 예측모델에 관한 연구)

  • Yong-Yun,Nam;Tae-Young,Chung
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.2
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    • pp.64-72
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    • 1989
  • A response prediction model is introduced for the non-lockin vibration of a marine riser in sheared flow, where the riser is modelled as linearly varying tensioned-beam. This prediction model is based on the Green's function approach and random vibration theory. This model, of course, can treat general beams having slowly varying spatial system parameters. According to the predicted result of a marine riser by the prediction model proposed in this paper, the dynamic behavior of a marine riser has the mixed characteristics of finite and infinite boundary behavior. Furthermore the velocity response distribution along the riser length is much similar with the sheared flow profile. The predicted response result of a marine riser having linearly varying tension was also compared to that of constant mean tensioned-beam model. It was found that the constant mean tensioned-beam case gives over-estimated responses at the top side of the riser.

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