• Title/Summary/Keyword: Slip equation

Search Result 211, Processing Time 0.051 seconds

Lubrication phenomenon in the stagnation point flow of Walters-B nanofluid

  • Muhammad Taj;Manzoor Ahmad;Mohamed A. Khadimallah;Saima Akram;Muzamal Hussain;Madeeha Tahir;Faisal Mehmood Butt;Abdelouahed Tounsi
    • Advances in concrete construction
    • /
    • v.15 no.5
    • /
    • pp.303-312
    • /
    • 2023
  • The present study investigates the effects of Cattaneo-Christov thermal effects of stagnation point in Walters-B nanofluid flow through lubrication of power-law fluid by taking the slip at the interfacial condition. For the solution, the governing partial differential equation is transformed into a series of non-linear ordinary differential equations. With the help of hybrid homotopy analysis method; that consists of both the homotopy analysis and shooting method these equations can be solved. The influence of different involved constraints on quantities of interest are sketched and discussed. The viscoelastic parameter, slip parameters on velocity component and temperature are analyzed. The velocity varies by increase in viscoelastic parameter in the presence of slip parameter. The slip on the surface has major effect and mask the effect of stagnation point for whole slip condition and throughout the surface velocity remained same. Matched the present solution with previously published data and observed good agreement. It can be seen that the slip effects dominates the effects of free stream and for the large values of viscoelastic parameter the temperature as well as the concentration profile both decreases.

Optimal Design of Friction Dampers based on the Story Shear Force Distribution of a Building Structure (건축구조물의 층전단력 분포에 기초한 마찰감쇠기의 최적설계)

  • Lee, Sang-Hyun;Min, Kyung-Won;Park, Ji-Hun;Lee, Roo-Jee
    • Journal of the Earthquake Engineering Society of Korea
    • /
    • v.9 no.6 s.46
    • /
    • pp.21-30
    • /
    • 2005
  • In this study, a seismic design methodology for friction dampers based on the story shear force distribution of an elastic building structure is proposed. First, using two normalization methods for the slip-load of a friction damper, numerical analyses of various single-degree-of-freedom systems are peformed. From those analyses, the effect of the slip-load and the brace stiffness was investigated and the optimal silliness ratio of the brace versus original structure was found. Second, from the numerical analysis for five multi-story building structures with different natural frequency and the number of story, reasonable decision method for the total number of installation floor, location of installation and distribution of the slip-loads are drawn. In addition, an empirical equation on the optimal number of installation floor is proposed. Finally, the superiority of the proposed method compared to the existing design method is verified from the numerical analysis using real earthquake data.

A Study on Slip Frequency Control Algorithm of Linear Induction Motor (선형 유도전동기의 슬립주파수 제어 알고리즘에 관한 연구)

  • Lee, Jae-Hyun;Mok, Hyung-Soo;Lee, Jin-Woo;Kim, Sang-Hoon;Kim, Myong-Han
    • Proceedings of the KIPE Conference
    • /
    • 2008.10a
    • /
    • pp.166-168
    • /
    • 2008
  • This paper presents a vector control of Linear Induction Motor(LIM) based on a slip frequency control. And a Linear Induction Motor modeling included the end effect using circuit and equation method is also presented. We demonstrated through simulation the improvements achieved by the proposed scheme.

  • PDF

Numerical Analysis of Gas Flows in Microchannels in Series (직렬 미소채널 기체유장의 수치해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2004.11a
    • /
    • pp.221-231
    • /
    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

  • PDF

A Dynamic Method for Boundary Conditions in Lattice Boltzmann method

  • Suh, Yong-Kweon;Kang, Jin-Fen;Kang, Sang-Mo
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.2797-2802
    • /
    • 2007
  • It has been confirmed that implementation of the no-slip boundary conditions for the lattice-Boltzmann method play an important role in the overall accuracy of the numerical solutions as well as the stability of the solution procedure. We in this paper propose a new algorithm, i.e. the method of the dynamic boundary condition for no-slip boundary condition. The distribution functions on the wall along each of the links across the physical boundary are assumed to be composed of equilibrium and nonequilibrium parts which inherit the idea of Guo's extrapolation method. In the proposed algorithm, we apply a dynamic equation to reflect the computational slip velocity error occurred on the actual wall boundary to the correction; the calculated slip velocity error dynamically corrects the fictitious velocity on the wall nodes which are subsequently employed to the computation of equilibrium distribution functions on the wall nodes. Along with the dynamic selfcorrecting process, the calculation efficiently approaches the steady state. Numerical results show that the dynamic boundary method is featured with high accuracy and simplicity.

  • PDF

A Study on the Stick-Slip Phenomenon of the Driveline System of a Vehicle in Consideration of Friction (마찰을 고려한 차량 동력전달계의 Stick-Slip 현상에 관한 연구)

  • 윤영진;홍동표;정태진
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.3 no.4
    • /
    • pp.19-29
    • /
    • 1995
  • This paper discusses the stick-slip phenomenon of the driveline system of a vehicle in consideration of friction. Friction is operated on the between of flywheel and clutch disk. The expressions for obtaining the results have been derived from the equation of motion of a three degree of freedom frictional torsion vibration system which is made up driving part(engine, flywheel), driven part(clutch, transmission) and dynamic load part(vehicle body) by applying forth-order Rungekutta method. It was found that the great affect parameters of the stick-slip or stick motion were surface pressure force between flywheel and clutch disk, time decay parameter of surface pressure force and 1st torsional spring constant of clutch disk when driveline system had been affected by friction force. The results of this study can be used as basic design data of the clutch system for the ride quality improvement of a car.

  • PDF

Rotor Resistance Estimation Using Slip Angular Velocity In Vector-Controlled Induction Motor (벡터제어 유도전동기의 슬립 각속도를 이용한 회전자 저항 추정)

  • Park, Hyunsu;Jo, Gwon-Jae;Choi, Jong-Woo
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.67 no.10
    • /
    • pp.1308-1316
    • /
    • 2018
  • Accurate tuning of parameter is very important in vector-controlled induction motor. Among the parameters of induction motor, detuning of rotor resistance used in controller design deteriorates drive performance. This paper presents a novel rotor resistance estimation strategy using slip angular velocity in vector-controlled induction motor drives. The slip angular velocity can be calculated by two methods. Firstly, it can be induced from the rotor voltage equation. Secondly, it can be induced from the difference between synchronous angular velocity and rotor angular velocity. The first method includes the rotor resistance, while the second method dose not include this parameter. From this fact, the rotor resistance can be identified by comparing the slip angular velocities in the two methods. In the tuned states of the rotor resistance, performances of flux estimator and speed drive are discussed. The simulation and experimental results are given to verify the validity of the proposed method in various situations.

Static behaviour of multi-row stud shear connectors in high- strength concrete

  • Su, Qingtian;Yang, Guotao;Bradford, Mark A.
    • Steel and Composite Structures
    • /
    • v.17 no.6
    • /
    • pp.967-980
    • /
    • 2014
  • In regions of high shear forces in composite bridges, headed stud shear connectors need to be arranged with a small spacing in order to satisfy the design requirement of resisting the high interface shear force present at this location. Despite this, studies related to groups of headed studs are somewhat rare. This paper presents an investigation of the static behaviour of grouped stud shear connectors in high-strength concrete. Descriptions are given of five push-out test specimens with different arrangements of the studs that were fabricated and tested, and the failure modes, load-slip response, ultimate load capacities and related slip values that were obtained are reported. It is found that the load-slip equation given by some researchers based on a single stud shear connector in normal strength concrete do not apply to grouped stud shear connectors in high-strength concrete, and an algebraic load-slip expression is proposed based on the test results. Comparisons between the test results and the formulae provided by some national codes show that the equations for the ultimate capacity provided in these codes are conservative when used for connectors in high-strength concrete. A reduction coefficient is proposed to take into account the effect of the studs being in a group.

Assessment of Slip Sinkage of an Off-Road Tracked Vehicle from Model Track Experiments (모형궤도시험을 통한 야지궤도차량의 슬립침하 평가)

  • Baek, Sung-Ha;Shin, Gyu-Beom;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
    • /
    • v.34 no.6
    • /
    • pp.49-59
    • /
    • 2018
  • When a tracked vehicle travels off-road, shearing action and ground sinkage occur on the soil-track interface and severely affect tractive performance of the tracked vehicle. Especially, the ground sinkage, which is induced by vehicle's weight (hereinafter referred to as static sinkage) and longitudinal forces in the direction of travel producing slip (hereinafter referred to as slip sinkage), develops soil resistance, directly restricting the tractive performance of an off-road tracked vehicle. Thus, to assess the tractive performance of an off-road tracked vehicle, it is imperative to take both of static sinkage and slip sinkage into consideration. In this research, a series of model track experiments was conducted to investigate the slip sinkage which has not been clarified. Experiment results showed that the slip sinkage increased with increasing the slip ratio, but the increasing rate gradually decreased. Also, the slip sinkage was found to increase as relative density of soil decreased and imposed vertical load increased. From the experiment results, the normalized slip sinkage defined as slip sinkage to static sinkage calculated in the identical condition was investigated, and an empirical equation for the slip sinkage was developed in terms of slip ratio, which allows vehicle operators to predict the slip sinkage in a given soil and operating conditions.

Evaluation of Crack Estimation Equation for the Reinforced Concrete Tension Member (철근콘크리트 인장부재의 균열 산정식 평가)

  • Park, Chan-Wook;Noh, Sam-Young;Shin, Eun-Mi
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.13 no.3 s.55
    • /
    • pp.197-208
    • /
    • 2009
  • The purpose of this research is the evaluation of the estimation equation of "CEP-FIP Model Code 1990(1991)", recently included in the domestic "Concrete Structure Design Code(2007)" in consideration of the concrete strength. As evaluation tools, crack element model applied a detailed bond-slip model as well as crack width obtained from experimental results by earlier researches. The crack element model is verified through the comparison with experimental results. The important variables in the estimation equation for the crack width in CEP-FIP Model Code 1990 are the tension stiffening effect and mean bond stress proposed in the paper to be improved in consideration of the concrete strength.