• 제목/요약/키워드: Prandtl number

검색결과 188건 처리시간 0.026초

내부 냉각유로에서 열전달 강화와 압력손실 감소를 위한 표면 형상체의 개발 (Development of a Surface Shape for the Heat Transfer Enhancement and Reduction of Pressure Loss in an Internal Cooling Passage)

  • 두정훈;윤현식;하만영
    • 대한기계학회논문집B
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    • 제33권6호
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    • pp.427-434
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    • 2009
  • A new surface shape of an internal cooling passage which largely reduces the pressure drop and enhances the surface heat transfer is proposed in the present study. The surface shape of the cooling passage is consisted of the concave dimple and the riblet inside the dimple which is protruded along the stream-wise direction. Direct Numerical Simulation (DNS) for the fully developed turbulent flow and thermal fields in the cooling passage is conducted. The numerical simulations for five different surface shapes are conducted at the Reynolds number of 2800 based on the mean bulk velocity and channel height and Prandtl number of 0.71. The driving pressure gradient is adjusted to keep a constant mass flow rate in the x direction. The thermoaerodynamic performance for five different cases used in the present study was assessed in terms of the drag, Nusselt number, Fanning friction factor, volume and area goodness factor in the cooling passage. The value of maximum ratio of drag reduction is -22.86 %, and the value of maximum ratio of Nusselt number augmentation is 7.05% when the riblet angle is $60^{\circ}$. The remarkable point is that the ratio of Nusselt number augmentation has the positive value for the surface shapes which have over $45^{\circ}$ of the riblet angle. The maximum volume and area goodness factors are obtained when the riblet angle is $60^{\circ}$.

LNG 냉열활용을 위한 초저온 열교환시스템의 축소모형에서 증발 열전달 특성 (Characteristics of Evaporation Heat Transfer in a Small-Scale Cryogenic Heat Exchange System for the Utilization of LNG Cold Energy)

  • 남상철;이상천;이용원;손영순
    • 한국가스학회지
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    • 제2권4호
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    • pp.25-33
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    • 1998
  • 본 연구는 LNG냉열활용을 위해 초저온 열교환시스템을 제작하고 액화질소와 에틸렌-글리콜 수용액을 작동유체로 사용하여 증발 열전달 특성실험을 수행하였다. 초저온 열교환기는 2중관식 열교환기이며, 내부관 지름이 8, 15 mm이며 길이는 6m이다. wire-coil inserts를 사용하여 열전달촉진 성능평가를 수행하였다. 액화질소와 에틸렌-글리콜 수용액의 출입구 온도, 벽면온도, 유량, 압력을 측정하였고, 이를 증발 열전달계수와 누셀트수를 계산하는데 사용하였다. 열전달상관식을 누셀트수, 프란틀수와 등가레이놀즈수의 멱법칙관계로 제안하였고, 그 결과 열전달촉진관이 평활관보다 2.5 ${\~}$ 5.5배정도 열전달이 증가되었다. 이 상관식을 이용하여 LNG냉열이용을 위한 초저온 2중관 열교환기를 설계하였고, 그 결과로 제시하였다.

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내부 냉각유로에서 열전달 강화와 압력손실 감소를 위한 표면 형상체의 개발 (Development of a Surface Shape for the Heat Transfer Enhancement and Reduction of Pressure Loss in an Internal Cooling Passage)

  • 두정훈;윤현식;하만영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회B
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    • pp.2465-2470
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    • 2008
  • A new surface shape of an internal cooling passage which largely reduces the pressure drop and enhances the surface heat transfer is proposed in the present study. The surface shape of the cooling passage is consisted of the concave dimple and the riblet inside the dimple which is protruded along the stream-wise direction. Direct Numerical Simulation (DNS) for the fully developed turbulent flow and thermal fields in the cooling passage is conducted. The Numerical simulations for the 5 different surface shapes are conducted at the Reynolds number of 2800 based on the mean bulk velocity and channel height and Prandtl number of 0.71. The driving pressure gradient is adjusted to keep a constant mass flow rate in the x direction. The thermo-aerodynamic performance for the 5 different cases used in the present study was assessed in terms of the drag, Nusselt number, Fanning friction factor, Volume and Area goodness factor in the cooling passage. The value of maximum ratio of drag reduction is -22.86 [%], and the value of maximum ratio of Nusselt number augmentation is 7.05 [%] when the riblet angle is $60^{\circ}$ (Case5). The remarkable point is that the ratio of Nusselt number augmentation has the positive value for the surface shapes which have over $45^{\circ}$ of the riblet angle. The maximum Volume and Area goodness factor are obtained when the riblet angle is $60^{\circ}$ (Case5).

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Flow of MHD Powell-Eyring nanofluid: Heat absorption and Cattaneo-Christov heat flux model

  • Sharif, Humaira;Khadimallah, Mohamed A.;Naeem, Muhammad Nawaz;Hussain, Muzamal;Hussain, Sajjad;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제10권3호
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    • pp.221-234
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    • 2021
  • During the previous few years, phenomenon of bioconvection along with the use of nanoparticles showed large number of applications in technological and industrial field. This paper analyzed the bioconvection phenomenon in magnetohydrodynamic boundary layer flow of a Powell-Eyring nanoliquid past a stretchable cylinder with Cattaneo-Christov heat flux. In addition, the impacts of chemical reaction and heat generation/absorption parameter are considered. By the use of appropriate transformation, the governing PDEs (nonlinear) have been transformed and formulated into nonlinear ODEs. The resulting nonlinear ODEs subjected to relevant boundary conditions are solved analytically through homotopy analysis method which is programmed in Mathematica software. Graphical and numerical results versus physical quantities like velocity, temperature, concentration and motile microorganism are investigated under the impact of physical parameters. It is noted that velocity profile enhances as the curvature parameter A and Eyring-Powell fluid parameter M increases but a decline manner for large values of buoyancy ratio parameter Nr and bio-convection Rayleigh number Rb. In the presence of Prandtl number Pr, Eyring-Powell fluid parameter M and heat absorption parameter ��, temperature profile decreases. Nano particle concentration profile increases for increasing values of magnetic parameter Ha and thermophoresis parameter Nt. The motile density profile has revealed a decrement pattern for higher values of bio-convection Lewis number Lb and bio-convection peclet number Pe. This study may find uses in bio-nano coolant systems, advance nanomechanical bio-convection energy conversion equipment's, etc.

주기적으로 배열된 원형 실린더를 이용한 채널 유동의 열전달 증진 (HEAT TRANSFER ENHANCEMENT IN CHANNEL FLOW BY A STREAMWISE-PERIODIC ARRAY OF CIRCULAR CYLINDERS)

  • 정태경;양경수;이경준;강창우
    • 한국전산유체공학회지
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    • 제18권2호
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    • pp.85-92
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    • 2013
  • In this study, we consider heat transfer enhancement in laminar channel flow by means of an infinite streamwise array of equispaced identical circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall. An immersed boundary method was employed to facilitate to implement the cylinders on a Cartesian grid system. No-slip condition is employed at all solid boundaries including the cylinders, and the flow is assumed to be periodic in the streamwise direction. Also, the Prandtl number is fixed as 0.7. For thermal boundary conditions on the solid surfaces, it is assumed that heat flux is constant on the channel walls, while the cylinder surfaces remain adiabatic. The presence of the circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to heat transfer enhancement on the channel walls. The Nusselt number averaged on the channel wall is presented for the wide ranges of Reynolds number and the gap. A significant heat transfer enhancement is noticed when the gap is larger than 0.8, while the opposite is the case for smaller gaps. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of varying the gap to enhance heat transfer from the channel walls.

비균일 온도분포를 갖는 평판에 대한 충돌제트의 열전달 및 난류유동특성에 관한 연구 (Experimental Study on the Heat Transfer and Turbulent Flow Characteristics of Jet Impinging the Non-isothermal Heating Plate)

  • 한충호;이계복;이충구;이창우
    • 에너지공학
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    • 제10권3호
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    • pp.272-277
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    • 2001
  • 선형온도구배를 갖는 비균일 가열표면에 대한 충돌 제트의 난류유동장과 열전달 특성을 실험을 통해 연구하였다. 제트의 레이놀즈수와 가열판의 온도구배, 그리고 노즐 출구로부터 가열판가지의 거리를 변화시키며 실험을 수행하였다. 최대 열전달은 정체점에서 나타나고 정체점으로부터 벽면방향으로 거리가 증가함에 따라 열전달률은 감소한다. 벽면가지의 거리가 크지 않은 경우는 난류의 영향으로 열전달의 제2정점이 나타난다. 최대 열전달은 노즐과 가열판 사이의 거리가 노즐 직경의 6에서 8배 정도일 때 나타난다. 열전달률의 상관식을 프란틀수와 레이놀즈수, 노즐과 가열판사이의 거리와 직경비 그리고 온도구배의 지수승의 함수로 구하였다. 열전달률과 난류유동장의 관계를 실험을 통해 확인하였다. 벽면제트는 온도구배의 의해 영향을 받았고 벽면거리가 증가할수록 더 크게 나타났다.

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소형태양수구내(小型太陽水構內) 중간경계면(中間境界面)에서 수력학적(水力學的) 안정(安定)에 관(關)한 각종(各種) 지배변수(支配變數)의 비교(比較) (A Comparison of Various Governing Parameters on Hydrodynamic Stability in Interface on Small Solar Pond)

  • 박이동
    • 태양에너지
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    • 제5권2호
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    • pp.11-19
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    • 1985
  • In this paper, the interface stability not to occur mixing and entrainment between the adjacent layers has been studied in the case of the selective withdrawal of a stratum and the injection in stratified fluid formed by the density difference in a small solar pond. There are stability parameter, Richardson number, Rayleigh number and Froude number as the parameters governing stability in order to measure the interface stability on the stratified fluid. The model which could measure the interface stability on the stratified fluid was the small solar pond composed by 1 meters wide, 2 meters high, and 5 meters long. In order to measure the interface stability on the stratified fluid at the inlet port, the middle section and the outlet port, Richardson number, Rayleigh number, and Froude number involved in the parameters governing the stability were calculated by means of the data resulted from the test of the study on hydrodynamic stability between the convective and nonconvective layers in that solar pond. Richardson number written by the ratio of inertia force to buoyancy force can be used in order to measure the stability on the stratified fluid related to the buoyancy force generated from the injection of fluid. Rayleigh number written by the product of Grashof number by Prandtl number can be used in order to measure the stability of the fluid related to the heat flux and diffusivity of viscosity. Froude number written by the ratio of gravity force to inertia force can be used in order to measure the stability of the nonhomogeneous fluid related to the density difference. As the result of calculating the parameters governing stability, the interface stability on the stratified fluid couldn't be identified below the 70cm height from the bottom of the solar pond, but it could be identified above the 70cm height from it at the inlet port, the middle section and the outlet port. When compared with such the three parameters as Richardson number, Rayleigh number, Froude number, the calculated result was in accord with them at inlet port, the middle section and the outlet port. Henceforth, it is learned that even though any of the three parameters is used for the purpose of measuring the interface stability on the stratified fluid, the result will be the same with them. It is concluded that all the use of Richardson number, Rayleigh number, and Froude number, is desirable and infallible to measure the interface stability on the stratified fluid in the case of considering the exist of the fluid flow and the heat flux like the model of the solar pond.

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다공성 매질에서 Local Thermal Equilibrium에 관한 연구 (Study on Local Thermal Equilibrium in a Porous Medium)

  • 장석필;김성진
    • 대한기계학회논문집B
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    • 제26권8호
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    • pp.1172-1182
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    • 2002
  • In the present study a general criterion for local thermal equilibrium is presented in terms of parameters of engineering importance which include the Darcy number, the effective Prandtl number of fluid, and the Reynolds number. For this, an order of magnitude analysis is performed for the case when the effect of convection heat transfer is dominant in a porous structure. The criterion proposed in this study is more general than the previous criterion suggested by Carbonell and Whitaker, because the latter is applicable only when conduction is the dominant heat transfer mode in a porous medium while the former can be applied even when convection heat transfer prevails. In order to check the validity of the proposed criterion for local thermal equilibrium, the forced convection phenomena in a porous medium with a microchanneled structure subject to an impinging jet are studied using a similarity transformation. The proposed criterion is also validated with the existing experimental and numerical results for convection heat transfer in various porous materials that include some of the parameters used in the criterion such as a microchannel heat sink with a parallel flow, a packed bed, a cellular ceramic, and a sintered metal. It is shown that the criterion presented in this work well-predicts the validity of the assumption of local thermal equilibrium in a porous medium.

NUMERICAL SOLUTIONS OF AN UNSTEADY 2-D INCOMPRESSIBLE FLOW WITH HEAT AND MASS TRANSFER AT LOW, MODERATE, AND HIGH REYNOLDS NUMBERS

  • AMBETHKAR, V.;KUSHAWAHA, D.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제21권2호
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    • pp.89-107
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    • 2017
  • In this paper, we have proposed a modified Marker-And-Cell (MAC) method to investigate the problem of an unsteady 2-D incompressible flow with heat and mass transfer at low, moderate, and high Reynolds numbers with no-slip and slip boundary conditions. We have used this method to solve the governing equations along with the boundary conditions and thereby to compute the flow variables, viz. u-velocity, v-velocity, P, T, and C. We have used the staggered grid approach of this method to discretize the governing equations of the problem. A modified MAC algorithm was proposed and used to compute the numerical solutions of the flow variables for Reynolds numbers Re = 10, 500, and 50000 in consonance with low, moderate, and high Reynolds numbers. We have also used appropriate Prandtl (Pr) and Schmidt (Sc) numbers in consistence with relevancy of the physical problem considered. We have executed this modified MAC algorithm with the aid of a computer program developed and run in C compiler. We have also computed numerical solutions of local Nusselt (Nu) and Sherwood (Sh) numbers along the horizontal line through the geometric center at low, moderate, and high Reynolds numbers for fixed Pr = 6.62 and Sc = 340 for two grid systems at time t = 0.0001s. Our numerical solutions for u and v velocities along the vertical and horizontal line through the geometric center of the square cavity for Re = 100 has been compared with benchmark solutions available in the literature and it has been found that they are in good agreement. The present numerical results indicate that, as we move along the horizontal line through the geometric center of the domain, we observed that, the heat and mass transfer decreases up to the geometric center. It, then, increases symmetrically.

Runge-Kutta method for flow of dusty fluid along exponentially stretching cylinder

  • Iqbal, Waheed;Jalil, Mudassar;Khadimallah, Mohamed A.;Ayed, Hamdi;Naeem, Muhammad N.;Hussain, Muzamal;Bouzgarrou, Souhail Mohamed;Mahmoud, S.R.;Ghandourah, E.;Taj, Muhammad;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제36권5호
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    • pp.603-615
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    • 2020
  • The present manuscript focuses on the flow and heat transfer of the dusty fluid along exponentially stretching cylinder. Enormous attempts are made for fluid flow along cylinder but the study of fluid behavior along exponentially stretching cylinder is discussed lately. Using appropriate transformations, the governing partial differential equations are converted to non-dimensional ordinary differential equations. The transformed equations are solved numerically using Shooting technique with Runge-Kutta method. The influence of the physical parameters on the velocity and temperature profiles as well as the skin fraction coefficient and the local Nusselt number are examined in detail. The essential observations are as the fluid velocity decreases but temperature grows with rise in particle interaction parameter, and both the fluid velocity and temperature fall with increase in mass concentration parameter, Reynold number, Particle interaction parameter for temperature and the Prandtl number.