• Title/Summary/Keyword: dimensionless

Search Result 1,064, Processing Time 0.024 seconds

Vibration Analysis of Rotating Cantilever Plates with Arbitrary Orientation Angle (임의의 자세를 갖는 외팔평판의 진동해석)

  • Kim, Sung-Kyun;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.27 no.8
    • /
    • pp.1331-1337
    • /
    • 2003
  • Linearized equations of motion for the vibration analysis of rotating cantilever plates with arbitrary orientation angle are derived in the present work. Two in-plane stretch variables are introduced to be approximated. The use of the two in-plane stretch variables enables one to derive the equations of motion which include proper motion-induced stiffness variation terms. The equations of motion are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating cantilever plates are investigated through numerical study. The natural frequency loci veering along with the associated mode shape variations, which occur while the rotating speed increases, are also presented and discussed.

Unsteady Thermal Stratified Flow and Heat Transfer in a Horizontal Feedwater Pipe (수평급수배관 내에서의 비정상 열성층유동 및 열전달)

  • Yeom, Hak-Gi;Park, Man-Heung
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.20 no.2
    • /
    • pp.680-688
    • /
    • 1996
  • In this paper, the unsteady state calculational model is proposed for the thermal stratification analysis in the feedwater line of the PWR plant. By defining dimensionless parameters in the two-dimensional polar coordinate system and applying SIMPLE algorithm, the temperature and flow profiles due to the thermal stratification are obtained. Base on the fact that the most significant condition occurs when the fluid temperature difference between the piping ends reaches as high as 166.deg. C, the present result shows that max. Dimensionless temperature difference of 0.6 (about l00.deg. C) obtained between hot and cold sections of pipe wall at dimensionless time 47.0.

Vibration Analysis of a Cracked Beam with a Concentrated Mass Undergoing Rotational Motion (크랙과 집중질량을 갖는 회전 외팔보의 진동 해석)

  • Kim, Min-Kwon;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.19 no.1
    • /
    • pp.10-16
    • /
    • 2009
  • Modal characteristics of a cracked beam with a concentrated mass undergoing rotational motion are investigated in this paper. Hybrid deformation variables are employed to derive the equations of motion of a rotating cantilever beam. The flexibility due to crack, which is assumed to be open during the vibration, is calculated basing on a fracture mechanics theory. To obtain more general information, the equations of motion are transformed into a dimensionless form in which dimensionless parameters are identified. The effects of the dimensionless parameters related to the angular speed, the depth and location of a crack and the size and location of a concentrated mass on the modal characteristics of the beam are investigated numerically.

The Heat Transfer Characteristics of Rotating Heat Pipe with Tapered Condensers in the both Sides of Evaporator (증발부 양단에 테이퍼 응축기를 가진 회전형 히트파이프의 전열 특성)

  • 이기우;이영수;장기창;장영석
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.8 no.1
    • /
    • pp.13-25
    • /
    • 1996
  • The purpose of this paper is to study heat transfer characteristics of rotating heat pipe with tapered condensers by numerical analysis and experimental method. An experimental investigation has been carried out on thermal resistance between condenser wall and vapor region fo the rotating heat pipe with various taper 0, 1/11.4, 1/38. Heat transfer characteristics by analytical study were applied to describe various Nu numbers on the base of dimensionless condensate film, Re and Pr numbers in both condensers. Comparison between calculated results and experimental data showed qualitatively good agreement and the numerical analysis of this study can be utilized to predict the performance of a rotating heat pipe. The thermal resistance can be decreased by increasing the revolution per minute. Regardless of various dimensionless condensate film, Nu number was largely influenced by saturation temperatures of working fluid.

  • PDF

Numerical analysis for mitigating thermal stratification flow of pressurizer surge horizontal pipe by outside heating (가압기 밀림관 수평배관 외부 가열에 의한 열성층 유동 완화 수치해석)

  • Jeong, I.S.;Kim, Y.
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.21 no.5
    • /
    • pp.670-678
    • /
    • 1997
  • A method to mitigate the thermal stratification phenomenon of pressurizer surge line is proposed by heating bottom outside of horizontal pipe. Unsteady two dimensional model has been used to numerically investigate an effect of heating the bottom of pipe. The dimensionless governing equations are solved by using the control volume formulation and SIMPLE algorithm. Temperature and streamline profiles of fluids and pipe walls with time are compared with the previous study result. The numerical result of this study shows that the outside heating can relaxate the thermal stratification flow of the pressurizer surge line. Maximum dimensionless temperature difference between hot and cold sections of the pipe inner wall which causes thermal stratification was reduced from 0.514 to 0.424 at dimensionless time 1, 632 and 1, 500 respectively.

Dimensionless analysis of composite rectangular and circular RC columns

  • Massumi, Ali;Badkoubeh, Alireza
    • Steel and Composite Structures
    • /
    • v.19 no.2
    • /
    • pp.327-348
    • /
    • 2015
  • A numerical procedure is presented that provides ultimate curvature and moment domains for composite rectangular and circular cross-sections of reinforced concrete columns with or without an embedded steel section subjected to combined axial loading and biaxial bending. The stress resultants for the concrete and reinforcement bars are calculated using fiber analysis and the stress resultants for the encased structural steel are evaluated using an exact integration of the stress-strain curve over the area of the steel section. A dimensionless formula is proposed that can be used for any section with similar normalized geometric and mechanical parameters. The contribution of each material to the bearing capacity of a section (resistance load and moments) is calculated separately so that the influence of each geometric or mechanical parameter on the bearing capacity can be investigated separately.

A theoretical analysis on the inviscid stagnation-flow solidification problem (비점성 정체 유동 응고 문제에 대한 이론적 해석)

  • 유주식
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.12 no.1
    • /
    • pp.1-11
    • /
    • 2000
  • This study investigates the problem of phase change from liquid to solid in the inviscid stagnation flow. The solution of dimensionless governing equations is determined by the three dimensionless parameters of (temperature ratio/conductivity ratio), Stefan number, and diffusi-vity ratio. The solution at the initial stage of freezing is obtained by expanding it in powers of time, and the final equilibrium state is determined from the steady-state governing equations. The equilibrium state is dependent on (temperature ratio/conductivity ratio), but is independent of Stefan number and diffusivity ratio. The effect of fluid flow on the pure conduction problem can be clearly seen from the solution of the initial stage and the final equilibrium state, and the characteristics of the solidification process for all the dimensionless parameters are elucidated.

  • PDF

The Influence of Variable Thermophysical Properties for Filmwise Condensation of Superheated Vapor on a Vertical Wall (수직 벽에서 과열증기의 막응축에 대한 열물성의 영향)

  • 김경훈;성현찬
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.12 no.3
    • /
    • pp.235-243
    • /
    • 2000
  • A theoretical model for laminar filmwise condensation along an isothermal vertical wall at constant pressure has been formulated on the basis of conservation laws and other fundamental physical principles. The model was applied to the prediction of the influences of variable thermophysical properties of liquid and vapor layers in the filmwise condensation of superheated vapor of Rl2, R134a, R142b and R152a. The dimensionless velocity component method was employed in the transformation of the governing equations and their boundary conditions, and the polynomial method was used for treating variable thermophysical properties of liquid and vapor. Physical quantities, such as the dimensionless thickness of the liquid layer, local heat transfer rate and mean heat transfer coefficient, were investigated for different values of the superheated temperature of the stagnant vapor far from the wall. It was found that the value of mean heat transfer coefficient of R134a was higher than other refrigerants for the change of the superheated temperature.

  • PDF

Fluid-conveying piezoelectric nanosensor: Nonclassical effects on vibration-stability analysis

  • Kachapi, Sayyid H. Hashemi
    • Structural Engineering and Mechanics
    • /
    • v.76 no.5
    • /
    • pp.619-629
    • /
    • 2020
  • In current study, surface/interface effects for pull-in voltage and viscous fluid velocity effects on dimensionless natural frequency (DNF) of fluid-conveying piezoelectric nanosensor (FCPENS) subjected to direct electrostatic voltage DC with nonlinear excitation, harmonic force and also viscoelastic foundation (visco-pasternak medium and structural damping) are investigated using Gurtin-Murdoch surface/interface (GMSIT) theory. For this analysis, Hamilton's principles, the assumed mode method combined with Lagrange-Euler's are used for the governing equations and boundary conditions. The effects of surface/interface parameters of FCPENS such as Lame's constants (λI,S, μI,S), residual stress (τ0I,S), piezoelectric constants (e31psk,e32psk) and mass density (ρI,S) are considered for analysis of dimensionless natural frequency respect to viscous fluid velocity u̅f and pull-in voltage V̅DC.

Effect of dimensionless nonlocal parameter: Vibration of double-walled CNTs

  • Hussain, Muzamal;Asghar, Sehar;Khadimallah, Mohamed Amine;Ayed, Hamdi;Alghamdi, Sami;Bhutto, Javed Khan;Mahmoud, S.R.;Tounsi, Abdelouahed
    • Computers and Concrete
    • /
    • v.30 no.4
    • /
    • pp.269-276
    • /
    • 2022
  • In this paper, frequency vibrations of double-walled carbon nanotubes (CNTs) has been investigated based upon nonlocal elastic theory. The inference of small scale is being perceived by establishing nonlocal Love shell model. The wave propagation approach has been operated to frame the governing equations as eigen value system. An innovational nonlocal model to examine the scale effect on vibrational behavior of armchair, zigzag and chiral of double-walled CNTs. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of dimensionless nonlocal parameter has been studied in detail. The dominance of end condition via nonlocal parameter is explained graphically. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.