• Title/Summary/Keyword: Taylor Number

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Experimental study of the Concentric Cylinder Flow with Various Axial Slit Wall (다양한 축방향 홈이 있는 동심원통 내부 유동에 대한 실험적 연구)

  • Lee, Sang-Hyuk;Kim, Hyoung-Bum
    • 한국가시화정보학회:학술대회논문집
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    • 2007.11a
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    • pp.123-127
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    • 2007
  • The effect of axial slit wall of outer cylinder on Taylor-Couette flow was experimentally investigated. The axial slits were azimuthally located along the inner wall of outer cylinder and the number of slits was 6, 9 and 18. The radius ratio and aspect ratio of the experimental models was 0.825 and 48, respectively. We used PIV method to measure the flow field and applied refractive index matching method to resolve the image distortion due to the complex model geometry. The results showed the effect of slit on the flow transition is increased as the number of slit increased. When the model has 6 slits, there were hardly the effect of axial slit wall and the flow transition happened at the same Reynolds number of plain smooth wall model case.

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Transient Flow Instability inside a Gas Turbine Shaft (가스 터빈 축 내부의 비정상 유동의 불안정성)

  • Hur, Nahm-Keon;Won, Chan-Shik
    • The KSFM Journal of Fluid Machinery
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    • v.2 no.1 s.2
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    • pp.103-107
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    • 1999
  • Transient flow inside a hollow shaft of a Gas Turbine engine during sudden engine stop may result in non uniform heat transfer coefficients in the shaft due to flow instability similar to steady Taylor vortex, which may decrease the lifetime of the shaft. In the present study, transient Taylor vortex phenomena inside a suddenly stopped hollow shaft are studied analytically. Flow visualization is also performed to study the shape and onset time of Taylor Vortices for various initial rotational speed.

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An Effective Method in Analyzing a Class of Bilinear Systems via Taylor Polynomials (Taylor 다형식에 의한 양선형 시스템의 효과적인 해석법)

  • ;Zeung Nam Bien
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.12
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    • pp.1594-1600
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    • 1988
  • In this paper, an effective method in analyzing a class of bilinear systems via Taylor polynomials is proposed. The result derived by Yang and Chen shows an implicit form for unknown state vector and requires to solve a linear algebraic equation with large dimension when the number of terms used increase. In comparison to the result of Yang and Chen, the method in this paper gives a closed form for unknown state vector and does not need to solve any linear algebraic equation.

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Simulation of viscous and inviscid rayleigh-taylor instability with surface tension by using MPS

  • Kim, Kyung Sung;Kim, Moo Hyun
    • Ocean Systems Engineering
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    • v.8 no.2
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    • pp.167-182
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    • 2018
  • RTI (Rayleigh-Taylor instability) is investigated by a multi-liquid MPS (Moving Particle Semi-implicit) method for both viscous and inviscid flows for various density differences, initial-disturbance amplitudes, viscosities, and surface tensions. The MPS simulation can be continued up to the late stage of high nonlinearity with complicated patterns and its initial developments agree well with the linear theoretical results. According to the relevant linear theory, the difference between inviscid and viscous fluids is the rising velocity at which upward-mushroom-like RTI flow with vortex formation is generated. However, with the developed MPS program, significant differences in both growing patters and developing speeds are observed. Also, more dispersion can be observed in the inviscid case. With larger Atwood (AT) number, stronger RTI flows are developed earlier, as expected, with higher potential-energy differences. With larger initial disturbances, quite different patterns of RTI-development are observed compared to the small-initial-disturbance case. If AT number is small, the surface tension tends to delay and suppress the RTI development when it is sufficiently large. Interestingly, at high AT number, the RTI-suppressions by increased surface tension become less effective.

Numerical Study on Fluid Flow Characteristics in Taylor Reactor using Computational Fluid Dynamics (CFD를 이용한 테일러 반응기의 유동 특성에 관한 수치적 연구)

  • Lee, Seung-Ho;Shim, Kyu Hwan;Jeon, Dong Hyup
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.40 no.1
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    • pp.9-19
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    • 2016
  • This study investigated the variations of Taylor flow and particle residence time in a Taylor reactor according to the changes of angular velocity and inlet velocity using computational fluid dynamics technique. The results showed that the fluid in a reactor became unstable with an increase of angular velocity. The flow moved to the regions of CCF, TVF, WVF and MWVF resulting in an increase of Reynolds number. Accordingly, the flow characteristics were different for each regions. We confirmed that the inlet velocity influences the Taylor flow. The particle residence time and standard deviation increased with an increase of angular velocity and a decrease of inlet velocity.

Experimental Study of the Axial Slit Wall and Radial Temperature Gradient Effect on Taylor-Couette Flow (Taylor-Couette 유동에서 축방향 홈과 반경방향 온도구배의 영향에 대한 실험적 연구)

  • Lee, Sang-Hyuk;Kim, Hyoung-Bum
    • Journal of the Korean Society of Visualization
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    • v.6 no.2
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    • pp.33-38
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    • 2008
  • The effect of the radial temperature gradient and the presence of slits in the wall of outer of two cylinders involved in creating a Taylor-Couette flow was investigated by measuring the velocity field inside the gap. The slits were azimuthally located along the inner wall of the outer cylinder and the number of slits used in this study was 18. The radius ratio and aspect ratio of the models were 0.825 and 48, respectively. The heating film wrapped around the inner cylinder was used for generating the constant heat flux and we ensured the constant temperature condition at the outer space of the outer cylinder. The velocity fields were measured by using the PIV(particle image velocimetry) method. The refractive index matching method was applied to remove image distortion. The results were compared with plain wall configuration of Taylor-Couette flow. From the results, the presence of slits in the wall of outer cylinder and temperature gradient increased the flow instability.

Numerical Study of the Thermal Effects on the Centrifugal Instability (온도 분포가 원심 불안정성에 미치는 영향에 대한 전산해석적 연구)

  • Hwang Jong-Yeon;Mutabazi Innocent;Lee Sung-Su;Yoon Dong-Hyeog;Yang Kyung-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.30 no.6 s.249
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    • pp.578-586
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    • 2006
  • Numerical simulations are carried out to investigate the thermal effects of the gravitational potential on the centrifugal instability of a Taylor-Couette flow, and to further study the detailed flow fields and flow bifurcations to spiral vortices. The effects of centrifugal potential on the centrifugal instability are also investigated in the current study. Spiral vortices have various types of mode depending on Grashof number and Reynolds number. The correlation of Richardson number with the spiral angle of the spiral vortices shows that the structure of the spiral vortices strongly depends on the Richardson number. The heat transfer rate of the inner cylinder increases with increasing Grashof number. It is also confirmed that the torque required to rotate the inner cylinder increases as Grashof number increases.

Energy transport analysis for the Taylor-Proudman column in la rapidly-rotating compressible fluid (압축성 회전 유동에서의 Taylor-Proudman 기둥의 에너지 전달에 관한 해석)

  • Park Jun Sang;Hyun Jae Min
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.329-332
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    • 2002
  • A theoretical study is made of the steady flow of a compressible fluid in a rapidly rotating finite cylinder. Flow is generated by imposing mechanical and/or thermal disturbances at the rotating endwall disks. Both the Ekman and Rossby numbers are small. A detailed consideration is given to the energy budget for a control volume in the Ekman boundary layer. A combination of physical variables, which is termed the energy contents, consisting of temperature and modified angular momentum, emerges to be relevant. The distinguishing features of a compressible fluid, in contrast to those of an incompressible fluid, are noted. For the Taylor-Proudman column to be sustained, in the interior, it is shown that the net energy transport between the solid disk wall and the interior fluid should vanish. Physical rationalizations are facilitated by resorting to the concept of the afore-stated energy content.

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An Efficient Approach in Analyzing Linear Time-Varying Systems via Taylor Polynomials (Taylor 다항식에 의한 선형 시변 시스템의 효과적인 해석)

  • Lee, Hai-Young;Bien, Zeung-Nam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.10
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    • pp.1166-1172
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    • 1988
  • This paper presents an efficient method of analyzing linear time-varying systems via Taylor polynomials. While the approach suggested by Sparis and Mouroutsos gives an implicit form for unknown state vector and requires to solve a linear algebraic equation with large dimension when the number of terms increases, the method proposed in this paper shows an explicit form and has no need to solve any linear algebraic equation.

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An asymptotic analysis of the Taylor-Proudman flow in a rapidly-rotating compressible fluid (압축성 회전유체에서 발생하는 Taylor-Proudman 유동에 대한 점근해석)

  • Park Jun Sang;Hyun Jae Min
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.341-344
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    • 2002
  • A matched asymptotic analysis is conducted for a compressible rotating flow in a cylindrical container when a mechanical and/or a thermal disturbance is imposed on the wall. The system Ekman number is assumed to be very small. The conditions for the Taylor-Proudman column in the interior, which were also given in the companion paper Park & Hyun, 2002) by means of the energy balancing analysis, have been re-derived. The concept of the variable, the energy content $e[{\equiv}T+2 {\alpha}^2 {\gamma}{\nu}]$, is reformulated, and its effectiveness in characterizing the energy transport mechanism is delineated. It is seen that, under the condition of the Taylor-Proudman column, numerous admissible theoretical solutions for interior flow exist with an associated wail boundary condition. Some canonical examples are illustrated with comprehensive physical descriptions. The differential heating problem on the top and bottom endwall disks is revisited by using the concept of the energy content. The results are shown to be in line with the previous findings.

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