• Title/Summary/Keyword: Velocity gradient

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An Experimental Study on Inner Flow between Shrouded Corotating Disks (밀폐된 동시회전원판 내부유동에 관한 실험적 연구)

  • Yu, Seung-Chul;Joo, Won-Gu
    • Proceedings of the KSME Conference
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    • 2000.04b
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    • pp.637-643
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    • 2000
  • The shrouded corotating disk flow has a simple figure on geometric basis, but has various and complicated forms of flow. this complicated flows can be variously applied to not only information storage device, but also turbomachinery which is greatly influenced by centrifugal force. This study measured its velocity to measure inner flow field with unique flow field univluenced, using LDV and subminiature hot-wire. The result of experiment shows that distribution limits of solid body rotation region, dimensionless velocity gradient and distribution limits of disk surface boundary layer(Ekman layer) are changed by the gap of disks and rotating speed. Circulating vortex which is near the shroud is effected by the gap of disks and rotating speed.

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Characteristics of Thermo-Fluid Flow in Dilution Chamber of Micro-Dilution Tunnel for Diesel Particulate Measurement (디젤매연측정용 마이크로 희석터널의 희석챔버에서의 열유동 특성)

  • 김태권;김성훈;임문혁
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.6
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    • pp.90-99
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    • 2002
  • The main purpose of this study lies on the development of micro dilution tunnel based on the Sierra Dilution chamber model. As a primary examination, characteristics of flow and temperature distributions during the steady dilution process in dilution chamber are observed with numerical analysis. The penetration of dilution air through porous tube as well as wall temperature and temperature gradient inside porous tube are examined. The thermophoretic velocity in terms of temperature behavior inside porous tube are defined and examined. Based on the ratio of penetration and thermophoretic velocities, all part of porous tube are shown to be safe from the particulate depositions. However, The inlet portion of porous tube in addition to the portion of impinging of dilution air are marginally safe from the particulate depositions. Generally the safer design against particulate deposition is required in provision f3r steady dilution process and for transient process as well.

Computation of Incompressible Flows Using Higher Order Divergence-free Elements (고차의 무발산 요소를 이용한 비압축성 유동계산)

  • Kim, Jin-Whan
    • Journal of Ocean Engineering and Technology
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    • v.25 no.5
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    • pp.9-14
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    • 2011
  • The divergence-free finite elements introduced in this paper are derived from Hermite functions, which interpolate stream functions. Velocity bases are derived from the curl of the Hermite functions. These velocity basis functions constitute a solenoidal function space, and the gradient of the Hermite functions constitute an irrotational function space. The incompressible Navier-Stokes equation is orthogonally decomposed into its solenoidal and irrotational parts, and the decoupled Navier-Stokes equations are then projected onto their corresponding spaces to form appropriate variational formulations. The degrees of the Hermite functions we introduce in this paper are bi-cubis, quartic, and quintic. To verify the accuracy and convergence of the present method, three well-known benchmark problems are chosen. These are lid-driven cavity flow, flow over a backward facing step, and buoyancy-driven flow within a square enclosure. The numerical results show good agreement with the previously published results in all cases.

Observer based Adaptive Control of Longitudinal Motion of Vehicles (관측자를 이용한 직진 주행 차량의 적응 제어)

  • Kim, Eung-Seok;Kim, Dong-Hun;Lee, Hyoung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2608-2610
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    • 2000
  • In this paper, an observer-based adaptive controller is proposed to control the longitudinal motion of vehicles. The standard gradient method will be used to estimate the vehicle parameters, mass, time constant, etc. The nonlinear model between the driving force and the vehicle acceleration will be chosen to design the state observer for the vehicle velocity and acceleration. It will be shown that the proposed observer is exponentially stable, and that the adaptive controller proposed in this paper is stable. It will be proved that the errors of the relative distance, velocity and acceleration converge to zero asymptotically fast, and that the overall system is also asymptotically stable. The simulation results are presented to investigate the effectiveness of the proposed method.

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Rate of Convergence in Inviscid Limit for 2D Navier-Stokes Equations with Navier Fricition Condition for Nonsmooth Initial Data

  • Kim, Namkwon
    • Journal of Integrative Natural Science
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    • v.6 no.1
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    • pp.53-56
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    • 2013
  • We are interested in the rate of convergence of solutions of 2D Navier-Stokes equations in a smooth bounded domain as the viscosity tends to zero under Navier friction condition. If the initial velocity is smooth enough($u{\in}W^{2,p}$, p>2), it is known that the rate of convergence is linearly propotional to the viscosity. Here, we consider the rate of convergence for nonsmooth velocity fields when the gradient of the corresponding solution of the Euler equations belongs to certain Orlicz spaces. As a corollary, if the initial vorticity is bounded and small enough, we obtain a sublinear rate of convergence.

Dynamic Propagation of a Interface Crack in Functionally Graded Layers under Anti-plane Shear (면외전단하중이 작용하는 기능경사재료 접합면 균열의 동적전파에 관한 연구)

  • Shin, Jeong-Woo;Lee, Young-Shin;Kim, Sung-Chan
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.459-464
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    • 2010
  • The dynamic propagation of an interface crack between two dissimilar functionally graded layers under anti-plane shear is analyzed using the integral transform method. The properties of the functionally graded layers vary continuously along the thickness. A constant velocity Yoffe-type moving crack is considered. Fourier transform is used to reduce the problem to a dual integral equation, which is then expressed to a Fredholm integral equation of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented. Followings are helpful to increase of the resistance of the interface crack propagation of FGM: a) increase of the gradient of material properties; b) increase of the material properties from the interface to the upper and lower free surface; c) increase of the thickness of FGM layer. The DERR increases or decreases with increase of the crack moving velocity.

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Effects of the Alloy Length on the Growth Behavior of Directionally Solidified Al-15Cu-lMg Alloy (Al-15Cu-1Mg합금의 일방향응고시 시편의 길이변화에 따른 응고거동변화)

  • Moon, Cheol-Hee
    • Journal of Korea Foundry Society
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    • v.17 no.4
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    • pp.379-384
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    • 1997
  • Al-15Cu-lMg alloys have been directionally solidified in 3mm diameter alumina tubes under the conditions of $760^{\circ}C$ of furnace temperature and 12 cm/hr of furnace moving velocity(V). By analyzing the evolution of the temperature profiles along the alloy length, the position of the solid/liquid interface, temperature gradient(G) and local growth velocity (R) were determined. These growth characteristics were compared for 6, 10, 14 cm length alloys. Steady state growth region was obtained in 15 cm length alloy, not in 6, 10 cm.

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Maxwell nanofluid flow through a heated vertical channel with peristalsis and magnetic field

  • Gharsseldien, Z.M.;Awaad, A.S.
    • Advances in nano research
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    • v.13 no.1
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    • pp.77-86
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    • 2022
  • This paper studied the peristaltic transport of upper convected Maxwell nanofluid through a porous medium in a heated (isothermal) symmetric vertical channel. The nanofluid is assumed to be electrically conducting in the presence of a uniform magnetic field. These phenomena are modeled mathematically by a differential equations system by taking low Reynolds number and long-wavelength approximation, the yield differential equations have solved analytically. A suggested new technique to display and discuss the trapping phenomenon is presented. We discussed and analyzed the pumping characteristics, heat function, flow velocity and trapping phenomena which were illustrated graphically through a set of figures for various values of parameters of the problem. The numerical results show that, there are remarkable effects on the vertical velocity, pressure gradient and trapping phenomena with the thermal change of the walls.

Thermal radiation and some physical combined effects on an asymmetric peristaltically vertical channel of nanofluid flow

  • Amira S. Awaad;Zakaria M. Gharsseldien
    • Advances in nano research
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    • v.16 no.6
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    • pp.579-591
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    • 2024
  • This study explained the effects of radiation, magnetic field, and nanoparticle shape on the peristaltic flow of an Upper-Convected Maxwell nanofluid through a porous medium in an asymmetric channel for a better understanding of cooling and heating mechanisms in the presence of magnetic fields. These phenomena are modeled mathematically as a system of non-linear differential equations, that are solved under long-wavelength approximation and low Reynolds number conditions using the perturbation method. The results for nanofluid and temperature described the behavior of the pumping characteristics during their interaction with (the vertical position, thermal radiation, the shape of the nanoparticle, and the magnetic field) analytically and explained graphically. Also, the combined effects of thermal radiation parameters and some physical parameters on pressure rise, pressure gradient, velocity, and heat distribution are pointed out. Qualitatively, a reverse velocity appears with combined high radiation and Grashof number or combined high radiation and low volume flow rate. At high radiation, the spherical nanoparticle shape has the greatest effect on heat distribution.

Development of Single-Frame PIV Velocity Field Measurement Technique Using a High Resolution CCD Camera (고해상도 CCD카메라를 이용한 Single-Frame PIV 속도장 측정기법 개발)

  • Lee, Sang-Joon;Shin, Dae-Sig
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.1
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    • pp.21-28
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    • 2000
  • Although commercial PIV systems have been widely used for the non-intrusive velocity field measurement of fluid flows, they are still under development and have considerable room for improvement. In this study, a single-frame double-exposure PIV system using a high-resolution CCD camera was developed. A pulsed Nd:Yag laser and high-resolution CCD camera were synchronized by a home-made control circuit. In order to resolve the directional ambiguity problem encountered in the single-frame PIV technique, the second particle image was genuinely shifted in the CCD sensor array during the time interval dt. The velocity vector field was determined by calculating the displacement vector at each interrogation window using cross-correlation with 50% overlapping. In order to check the effect of spatial resolution of CCD camera on the accuracy of PIV velocity field measurement, the developed PIV system with three different resolution modes of the CCD camera (512 ${\times}$ 512, lK ${\times}$ IK, 2K ${\times}$ 2K) was applied to a turbulent flow which simulate the Zn plating process of a steel strip. The experimental model consists of a snout and a moving belt. Aluminum flakes about $1{\mu}m$ diameter were used as scattering particles for the liquid flow in the zinc pot and the gas flow above the zinc surface was seeded with atomized olive oil with an average diameter of 1-$3{\mu}m$. Velocity field measurements were carried out at the strip speed $V_s$=1.0 m/s. The 2K ${\times}$ 2K high-resolution PIV technique was significantly superior compared to the smaller pixel resolution PIV system. For the cases of 512 ${\times}$ 512 and 1K ${\times}$ 1K pixel resolution PIV system, it was difficult to get accurate flow structure of viscous flow near the wall and small vortex structure in the region of large velocity gradient.