• 제목/요약/키워드: Prandtl number

검색결과 188건 처리시간 0.048초

시간적으로 변하는 각속도를 가지는 실린더 내부의 비균질 유체의 스핀업 (Spin-up for stratified fluid in a cylinder with time-dependent rotation rate)

  • 김경섭;현재민
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.323-326
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    • 2006
  • Numerical solutions for spin-up problem of a thermally stratified fluid in a cylinder with an insulating sidewall and time-dependent rotation rate are presented. Detailed results are given for aspect ratio of O(1), fixed Ekman number $10-^{4}$, Rossby number 0.05 and Prandtl number O(1). Angular velocity of a cylinder wall changes with following formula, $\Omega_f=\Omega_i+\Delta\Omega[1-\exp(-t/t_c)]$. Here, this $t_c$, value, which is very significant in present study, represents that how fast/slow the angular velocity of the cylinder wall reaches final angular velocity. The normalized azimuthal velocity and meridional flow plots for several tc value which cover ranges of the stratification parameter S(1 ~ 10) are presented. The role of viscous-diffusion and Coriolis term in present study is examined by diagnostic analysis of the azimuthal velocity equation.

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종횡비 가 낮은 직각밀폐용기내 의 Prandtl 수 가 큰 유체 의 자연대류 에 관한 실험적 연구 (High prandtl number natural convection in a low-aspect ratio rectangular enclosure)

  • 이진호;황규석;현명택
    • 대한기계학회논문집
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    • 제9권6호
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    • pp.750-756
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    • 1985
  • 본 연구에서는 종횡비 0.1이고 상.하 수평경계면이 단열된 직각밀폐용기내에 서 Pr수가 1보다 큰 물(Pr=6.97, 20.deg. C) 및 실리콘 오일(Pr=1086.42, 20.deg. C)의 양단의 온도차에 의한 자연대류에서 아직 충분히 연구되지 않은 코어형상에 주안점을 두고 실 험적으로 관찰, 조사하였으며 그 결과를 Lee의 이론적인 예측과도 비교, 검토해 보았 다.

내부 원형 실린더의 크기가 정육면체 밀폐계 내부의 3 차원 자연대류 현상에 미치는 영향 (Effect of Inner Circular Cylinder Size on Three-Dimensional Natural Convection in Cubical Enclosure)

  • 서영민;최창영;하만영;박상후
    • 대한기계학회논문집B
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    • 제38권12호
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    • pp.975-982
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    • 2014
  • 본 연구는 정육면체 밀폐계 내부에 존재하는 고온의 원형 실린더의 크기 변화에 따른 밀폐계 내부의 3 차원 자연대류 현상에 대한 수치해석을 수행하였다. 본 연구에서 고려한 Rayleigh 수는 $10^3$부터 $10^5$까지며 Prandtl 수는 0.7 이다. 내부 원형 실린더의 반경은 0.1L 부터 0.4L 범위에서 0.1L 간격으로 변경하였다. 본 연구에서 고려한 모든 Rayleigh 수와 실린더 반경의 범위에서 열유동장은 정상 상태의 특성을 보였다. 내부 원형 실린더의 크기가 증가하여 실린더 표면과 밀폐계 벽면이 가까워 질수록 실린더 표면과 밀폐계 벽면의 평균 Nusselt 수는 증가하였다. 내부 원형 실린더의 크기 변화에 따른 정육면체 밀폐계 내부의 자연대류 현상은 온도장, 유동장 및 표면 평균 Nusselt 수의 분포를 바탕으로 분석하였다.

원주 주위의 비정상 층류유동과 열전달에 대한 수치해석 (Numerical Analysis for the Unsteady Laminar Flow and Heat Transfer Around a Circular Cylinder)

  • 조석호;남청도;부정숙
    • Journal of Advanced Marine Engineering and Technology
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    • 제15권2호
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    • pp.64-72
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    • 1991
  • The unsteady, two-dimensional laminar flow and heat transfer of an incompressible, constant-property fluid flowing around a circular cylinder are numerically analyzed. The Navier-Strokes equation and the energy equation are solved by the finite difference method. The range of the Reynolds number is 10 to 100 and the Prandtl number considered is 0.7. The contours of the flow pattern, equi-vorticity line and isotherm pattern around a circular cylinder are shown. Also, numerical solutions of the surface vorticity, pressure coefficient, drag coefficient, local Nusselt number and mean Nusselt number are obtained. The numerical results for the final time fo calculation are compared with the other available experimental and theoretical results for the steady state and are found to be in good agreement with them.

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마이크로휜관 내 단상 냉각 유동 열전달 및 압력 강하 특성에 관한 실험적 연구 (Experiments on Single Phase Cooling Heat Transfer and Pressure Drop Characteristics in Microfin Tubes)

  • 이규정;한동혁
    • 설비공학논문집
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    • 제14권3호
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    • pp.231-239
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    • 2002
  • Experiments on the single phase cooling heat transfer and pressure drop with microfin tubes were performed using water as a test fluid. Experimental data were obtained in the range of Reynolds number 3000 ~40000 and Prandtl number 4-6. The data of microfin tubes presented the characteristics of rough surface tube in pressure drop and heat transfer Experimental data were compared with the heat transfer and friction factor correlations of smooth tubes. Heat transfer enhancements of microfin tubes were lower than pressure drop penalty factors. The helix angle is more significant parameter in both of the pressure drop and heat transfer than the relative roughness. The correlations of Nusselt number and friction factor were suggested for the tested microfin tubes. Maximum deviations between correlations and experimental data were within $\pm15$% for Nusselt number and $\pm10$% for friction factor.

삽입물에 의한 관내 층류열전달 증진에 관한 실험적 연구 (An Experimental Study on Enhancement of Laminar Flow Heat Transfer in a Circular Pipe with Inserts)

  • 권영철;장근선;정지환
    • 설비공학논문집
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    • 제12권7호
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    • pp.667-673
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    • 2000
  • In order to understand the laminar flow heat transfer enhancement by the swirl flow, the effects of heat transfer in a circular pipe with a twisted tape insert were investigated experimentally. In the present study, the uniform heat flux condition was considered. The laminar heat transfer correlations were developed using the least-square-fit from the surface temperature distribution of an electrically-heated pipe and flow property data. Average Nusselt number correlations with the twisted tape insert were expressed as a function of swirl parameter, Reynolds number and Prandtl number. In the case of the twisted ratio y = 6.05, the mean Nusselt number increased approximately 500% and the friction factor increased approximately 300%, compared to the case of the empty pipe, respectively.

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캐비티 내 고 점성유체의 비정상 흔합대류에 관한 수치해석적 연구 (Numerical Study of Unsteady Mixed Convection in a Cavity with High Viscous Fluid)

  • 배대석
    • 동력기계공학회지
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    • 제13권5호
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    • pp.11-17
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    • 2009
  • A numerical study of unsteady mixed convection in a cavity with high viscous fluid is presented. Finite volume method was employed for the discretization and PISO algorithm was used for calculating pressure term. The parameters governing the problem are the Rayleigh number ($10^3\;{\leq}\;Ra\;{\leq}\;10^5$), the Reynolds number (0 < Re $\leq$ 1), and the aspect ratio (0.5 $\leq$ AR $\leq$ 2). The fluid used is silicon oil, a high prandtl number fluid, Pr = 909.1. The results show velocity vectors and temperature distributions. It is found that the periodic flows in a cavity are observed at very low Reynolds numbers, and the period of periodic flow decreases with increasing Reynolds and Rayleigh numbers, and increases with increasing aspect ratio. Also, the Reynolds number range of periodic flow increases with increasing Rayleigh numbers and aspect ratio.

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4각 리브로된 표면조도에 의한 유체유동 및 열전달 증진에 관한 연구 (A Study on the Enhanced Heat Transfer and Fluid Flow Induced by Square-Ribbed Surface Roughness)

  • 이충구
    • 설비공학논문집
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    • 제4권3호
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    • pp.155-162
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    • 1992
  • Theoritical Study is performed on heat transfer and fluid flow induced by square-ribbed roughness elements in a concentric annulus. The fluid properties were assumed to be constant, and the radius($r_m$) of the maximum speed point was found by using the principle of equation of Leung and Labib. The Nusselt number and friction factor as a function of the Reynolds number($R_e=10^4$, $5{\times}10^4$, $7{\times}10^4$, $10^5$) in artifical roughness $S/{\epsilon}=5,10,20,30$, $P/{\epsilon}=2,5,8$ and prandtl number = 0.72 have been discussed. In this study, it has been found that the Nusselt number and friction factor of rough wall are larger than those of smooth ones.

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Use of rotating disk for Darcy-Forchheimer flow of nanofluid; Similarity transformation through porous media

  • Hussain, Muzamal;Sharif, Humaira;Khadimallah, Mohamed Amine;Ayed, Hamdi;Banoqitah, Essam Mohammed;Loukil, Hassen;Ali, Imam;Mahmoud, S.R.;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제30권1호
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    • pp.1-8
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    • 2022
  • The basic purpose of the current study is to compute the numerical analysis of heat source/sink for Darcy-Forchheimer three dimensional nanofluid flow with gyrotactic microorganism by rotatable disk via porous media under the slip conditions. Due to nanoparticles, random and thermophoretic motion phenomenon occurs. The governing mathematical model is handled numerically by shooting method. Additionally, the characteristics of velocities, mass, heat, motile microorganisms and associated parameters are thoroughly analyzed via plots and tables. Different physical parameters like Forchheimer number, slip parameters like velocity, porosity parameter, Prandtl number, Brownian number, thermophoresis parameter, heat sink/source parameter, bioconvected Rayleigh number, buoyancy parameteron dimensionless velocities, temperature. Approximate values of Sherwood microorganism are analyzed.

자유유동중에 놓인 회전하는 원추체 의 난류경계층 유동 에 관한 연구 (A Study on the Axisymmetric Turbulent Boundaty Layer Over a Rotating Cone Submerged in a Free Stream)

  • 박승호;이택식
    • 대한기계학회논문집
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    • 제7권3호
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    • pp.278-285
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    • 1983
  • The momentum transfer in axisymmetric turbulent boundary layer over a rotating cone submerged in a free stream was studied by experiments and numerical analysis. In numerical analysis the velocity profiles were calculated by finite difference method using Prandtl mixing length concept, and the results were compared with experimental results. The agreement was good. By the numerical analysis the wall fircition coefficient was increased as the Reynolds number increased when the rotational speed is large, but the wall friction coefficient was decreased as the rotational speed increased.