• 제목/요약/키워드: Dimensionless Variables

검색결과 97건 처리시간 0.022초

전단 및 단면 관성효과를 고려한 Cross-ply 복합재 회전 외팔보의 면외방향 굽힘 진동해석 (Flapwise Bending Vibration Analysis of Rotating Cross-ply Composite Beams)

  • 이승현;신상하;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.994-999
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    • 2003
  • A modeling method for the modal analysis of a rotating cross-ply composite beam based on Timoshenko beam theory is presented. To analyze the composite beam exactly, the effects of shear deformation and rotary inertia are included. Linear differential equations of motion are derived using the assumed mode method. For the modeling, hybrid deformation variables are employed and approximated to derive the equations of motion. The effects of the dimensionless angular velocity and the slenderness ratio parameter on the variations of modal characteristics are investigated

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The Effect of a Wing on the Heat toss from a Modified Rectangular Fin

  • Kang, Hyung-Suk
    • International Journal of Air-Conditioning and Refrigeration
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    • 제10권4호
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    • pp.192-200
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    • 2002
  • A modified asymmetric rectangular fin is analysed using the two-dimensional separation of variables method. This modified rectangular fin is made by attaching the wing on the top side of a rectangular fin. Heat loss from each side of this modified rectangular fin is calculated. The relative increasing ratio of heat loss between a modified rectangular fin and a rectangular fin is presented as a function of dimensionless fin volume, wing height and the location of the wing. Especially, to show the remarkable effect of the wing on the heat loss, the relative increasing ratios of heat loss between two different volume increasing methods are listed.

Improved Suter Transform for Pump-Turbine Characteristics

  • Dorfler, Peter K.
    • International Journal of Fluid Machinery and Systems
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    • 제3권4호
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    • pp.332-341
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    • 2010
  • Standard dimensionless parameters cannot simultaneously represent all operation modes of a pump-turbine. They either have singularities at E=0 and multiple values in the 'unstable' areas, or else get singular at n=0. P. Suter (1966) introduced an alternative set of variables which avoids singularity and always remains unique-valued. This works for non-regulated pumps but not so well for regulated machines. A modification by C.S. Martin avoids distortion at low load. The present paper describes further improvements for the representation of torque, and for closed gate (where Suter's concept does not work). The possibility to interpolate across all operation modes is likewise useful for representing other mechanical parameters of the machine. Practical application for guide vane torque and pressure pulsation data is demonstrated by examples.

SCM 440 강재의 동적 재결정 조직 변화에 관한 연구 (The Evolution of Dynamically Recrystallized Microstructure for SCM 440)

  • 한형기;유연철
    • 소성∙가공
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    • 제10권1호
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    • pp.35-41
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    • 2001
  • The high temperature deformation behavior of SCM 440 can be characterized by the hot torsion test in the temperature ranges of $900^{\circ}C$~$1100^{\circ}C$ and strain rate ranges of 0.05/sec~5/sec. The aim of this paper is to establish the quantitative equation of the volume fraction of dynamic recrystallization (DRX) as a function of processing variables, such as strain rate ($\varepsilon$), temperature (T), and strain ('$\varepsilon$). During hot deformation, the evolution of microstructure could be analyzed from work hardening rate ($\theta$). For the exact prediction of dynamic softening mechanism the critical strain ($\varepsilon_c$), the strain for maximum softening rate ($\varepsilon^*$ and Avrami' exponent (m') were quantitatively expressed by dimensionless parameter, Z/A, respectively. The transformation-effective strain-temperature curve for DRX could be composed. It was found that the calculated results were agreed with the experimental data for the steel at any deformation conditions.

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Three-phase-lag model on a micropolar magneto-thermoelastic medium with voids

  • Alharbi, Amnah M.;Othman, Mohamed I.A.;Al-Autabi, Al-Anoud M. Kh.
    • Structural Engineering and Mechanics
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    • 제78권2호
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    • pp.187-197
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    • 2021
  • This paper harnesses a micropolar thermoelastic medium consisting of voids to scrutinize the impacts of a magnetic field on it. To assess the problem, the three-phase-lag model (3PHL) has been employed and the analytical expressions of various variables under consideration have been derived using normal model analysis. The paper presents a graphical illustration of the material's stress, temperature, and dimensionless displacement. It has also been ensured that the predictions associated with results by different theories are not neglected instead; they are used to carry out appropriate comparisons in scenarios where the magnetic field is present as well as absent. The numerical results indicate that the magnetic field and the phase-lag of heat flux play a vital role in determining the distribution of field quantities. Thus, the investigation helped derive various interesting cases.

충전층내에서 축열에 따른 열전달 (Heat Storage in a packed Bed)

  • 최정운;노승탁
    • 대한설비공학회지:설비저널
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    • 제7권1호
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    • pp.13-19
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    • 1978
  • An experiment has been performed of find a temperature distribution of the circulating fluid in a packed bed thermal storage system when the inlet fluid temperature is constant. The thermal storage system is a specific-heat type in which the circulating fluid, hot air, exchanges heat directly with the heat storage materials, glass balls, in a heat storage bin. An empirical equation which includes two dimensionless variables $t^*\;and\;T_f^*$, is obtained. Also, heat storage efficiency and heat storage capacity are calculated from this equation, The heat transfer coefficient calculated by the suggested equation was compared with the value determined by the existing empirical equation.

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주파수 영역 민감도 방법을 이용한 집중 질량 구조물의 응답 해석 (Analysis of Response of Lumped Mass System Using Sensitivity Method in Frequency Domain)

  • 백문열;기창두
    • 한국정밀공학회지
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    • 제14권10호
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    • pp.164-169
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    • 1997
  • The aim of this paper is to present some results of sensitivity analysis in frequency domain. The sensitivity fonctions in frequency domain is not depend on the external excitation but depend on the frequency of the system's resonance. The sensitivity functions are determined as function of partial derivatives of system transfer functions taken with respect to system design parameters. The logarithmic sensitivity function is the dimensionless sensitivity funciton available, making it useful to compare the influence of various parameters on system variables. Two degree of fredom system is used to illustrate the procedure for sensitivity analysis proposed in this paper.

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SORET AND ELECTROMAGNETIC RADIATION EFFECT OF MHD MICRO POLAR FLUID PAST A POROUS MEDIUM IN THE PRESENCE OF CHEMICAL REACTION

  • SHEEBA JULIET S.;VIDHYA, M.
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.1085-1102
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    • 2023
  • In this study the magneto hydrodynamic (MHD) micro polar fluid flow of a viscous incompressible fluid past a porous medium in the presence of chemical reaction is considered. This work is devoted to investigate the Soret effect and Electromagnetic radiation effect and analyze analytically. In the energy equation the applied magnetic field strength and in the concentration equation the Soret effect are incorporated. The basic PDE (partial differential equations) are reduced to ODE (ordinary differential equations) using non dimensional variables. Then the analytical solution of the dimensionless equations are found using perturbation technique. The features of the fluid flow parameters are analyzed, discussed and explained graphically. The graphical solutions are found using MATLAB R2019b. Skin friction coefficient at the wall, Couple stress coefficient at the plate and the local surface heat flux are also thoroughly examined. Overall, this study sheds light on the complex interplay between physical parameters in the behavior of MHD micro-polar fluid past a porous medium in the presence of chemical reaction.

가압 삼상슬러리 기포탑의 설계 및 Scale-up을 위한 수력학적 Similarity 해석 (Analysis of Hydrodynamic Similarity of Pressurized Three-Phase Slurry Bubble Column for its Design and Scale-up)

  • 서명재;임대호;진해룡;강용;정헌;이호태
    • Korean Chemical Engineering Research
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    • 제47권6호
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    • pp.720-726
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    • 2009
  • 가압으로 운전되는 삼상슬러리 기포탑에서 기포 체류량과 압력강하를 목적함수로하여 기포탑의 설계 및 scale-up을 위한 수력학적 similarity를 고찰하였다. 또한, 본 연구에서 선택한 각 실험변수가 기포탑의 직경변화에 따라 기포탑 내 기포 체류량에 미치는 영향을 분석하였다. 슬러리 기포탑에서 기체체류량 및 압력강하의 결정에 영향을 미치는 주요 인자로써 기체유속($U_G$), 연속 슬러리 상의 점도(${\mu}_{SL,eff}$) 및 표면장력(${\rho}_{SL}$), 운전압력의 변화에 따라 변화하는 기체상의 밀도(${\rho}_G$)와 슬러리 밀도(${\rho}_{SL}$)의 차($\rho_{SL}$-${\rho}_G$), 기포탑 내부에서 단위길이 당 압력강하(${\Delta}P/L$), 기포탑의 직경(D) 그리고 기포탑에서 다상흐름에 작용하는 중력의 영향을 고려하기 위해 중력가속도(g) 등을 선정하였다. 선정된 7개의 슬러리 기포탑의 수력학적 특성에 영향을 미치는 파라메타들과 3개의 기본차원들로부터 차원해석에 의해 수력학적 특성을 지배하는 4개의 무차원 군을 도출하였다. 도출된 무차원 군인 레이놀즈 수, 프라우드 수 그리고 웨버 수 등이 기포탑에서 기포체류량에 미치는 영향을 검토하였다. 기포탑 내부에서의 압력강하와 기체 체류량 등을 무차원 군의 상관식으로부터 효과적으로 예측할 수 있었다. 본 연구의 결과는 가압슬러리 기포탑의 설계 및 scale-up 등에 매우 유용한 정보를 제공할 수 있을 것으로 사료된다.

V자형 낙차공 모형 직하류 국부세굴공 발생특성에 관한 실험적 연구 (Experimental Study on the Characteristics of Local Scour Hole Downstream of V-shaped Drop Structure Model)

  • 엄중현;한형준;박성원;안정규
    • 한국산학기술학회논문지
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    • 제20권12호
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    • pp.8-14
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    • 2019
  • 대표적인 하천횡단구조물 중 하나인 낙차공은 하천하상의 안정을 목적으로 설치되지만 이는 하천환경의 연속성을 차단하고, 수생태환경의 파괴를 야기하는 것으로 알려져 있다. 따라서 본 연구에서는 생태통로로서의 기능을 갖는 저낙차 자연형 낙차공을 모형으로 제작하여 실험실 실험을 수행하고, 적절한 지배인자 사이의 관계를 도출하여 국부세굴공 규모의 예측식을 제안하였다. 직선형과 6가지 상향 V 자형의 낙차공 모형에 대하여 각각 실험유량은 4가지로 총 28개의 조건에 대해서 실험을 수행하였다. 각각의 실험조건별 세굴실험 결과를 바탕으로 기존에 제안된 세굴심 추정식을 적용한 결과보다 최대세굴심이 다소 크게 발생함을 확인하였다. 따라서 낙차공 직하류부에서 발생하는 세굴공 발생 주요인자들 사이의 상관관계를 분석한 결과, 낙차공으로의 유입흐름 특성과 낙차공의 높이, 낙차공의 총횡단길이와의 상관관계가 높게 나타남을 확인하였다. 또한 이를 토대로 각 실험조건별 세굴심과 세굴길이에 상관관계가 높다고 판단되는 변수들을 무차원화하여 최대세굴공의 깊이와 길이 산정식을 각각 제안하였다. 향후 추가적으로 다양한 하상토 재료와 수심변화를 고려한 실험적 연구 및 수치해석 연구를 병행하여 보다 정확한 세굴심 산정식을 도출할 수 있다.