• Title/Summary/Keyword: Prandtl number

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Heat Transfer and Flow Characteristics in an Annulus Filled with Aluminum Foam (발포 알루미늄이 삽입된 환형관에서의 열전달 및 유동특성)

  • Noh Joo-Suk;Han Young-Hee;Lee Kye-Bock;Lee Chung-Gu
    • Journal of Energy Engineering
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    • v.15 no.1 s.45
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    • pp.60-66
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    • 2006
  • An experimental investigation on the flow and convective heat transfer characteristics has been carried out far aluminum foam heat sink inserted into the annulus to examine the feasibility as a heat sink. Two aluminum foams or different permeability were selected to provide the friction factor and heat transfer correlations as function of Darcy, Reynolds and Prandtl number. Experimental results show that the friction factor is higher than clear annulus without aluminum foam, while $6\sim10$ times augmentation in Nusselt number is obtained. This technique can be used for the compactness of the heat exchanger.

A Study on the Heat Transfer Phenomena in Coiled Tubes with Variable Curvature Ratios (곡률비가 다양한 코일 튜브에서의 열전달현상에 관한 연구)

  • Han, Kyuil;Park, Jong-Un
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.22 no.11
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    • pp.1509-1520
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    • 1998
  • An experiment was carried out for the fully developed turbulent flow of water in tube coils on the condition of uniform heat flux. The present work was conducted for various ranges for Dean number(1794~1321), Prandtl number (2.5~4.5), curvature ratio parameters (22~60). Heat transfer to steady viscous flow in coiled tubes of circular cross section was studied for fully developed velocity and temperature fields under the thermal boundary condition of uniform heat flux. The peripherally local Nusselt number correlated as a function of Dean and Prandtl numbers. We studied the flow in heat coiled tubes under the influence of both centrifugal and buoyancy forces in order to gain insight into the flow pattern. In the present study, we obtained three emperical formulas, $Nu_v=0.0231Re^{0.84}Pr^{0.4}(a/R)^{0.13}$ (vertical) $Nu_c=0.0241Re^{0.86}Pr^{0.4}(a/R)^{0.08}$ (corrugated) $Nu_h=0.0227Re^{0.84}Pr^{0.4}(a/R)^{0.09}$ (horizontal).

A study on the development of the velocity and temperature fields in a laminar flow through an eccentric annular ducts (偏心된 二重圓管의 環狀部를 지니는 層流流動에서의 連度場 및 溫度場의 確立에 대한 硏究)

  • 이택식;이상산
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.6
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    • pp.861-869
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    • 1986
  • A numerical study has been conducted on the development of the velocity and temperature fields in a laminar flow through an eccentric annular duct. A bipolar coordinates system is adopted, and a numerical program is developed to analyze 3-dimensional parabolic flow problems. In the analysis of the velocity field, the entrance length has been defined as the distance where the axial pressure gradient is greater than that of the developed velocity field by 5%. The dimensionless hydrodynamic entry length increases with increasing eccentricity. In the transverse flow fields, the reverse flow region along the wall due to the developing axial velocity near the entrance of the duct is found. In the analysis of the temperature field, the thermal entry length has been defined as the axial distance where the mean fluid temperature is 5% less than that of the developed temperature field. The dimensionless thermal entry length increases as eccentricity or Prandtl number increases. The overshoot of the mean Nusselt number over the developed value at the zero-temperature wall is encountered, and the rate of the overshoot increases with the increase of the eccentricity and Prandtl number.

A CORRELATION FOR SINGLE PHASE TURBULENT MIXING IN SQUARE ROD ARRAYS UNDER HIGHLY TURBULENT CONDITIONS

  • Jeong, Hae-Yong;Ha, Kwi-Seok;Kwon, Young-Min;Chang, Won-Pyo;Lee, Yong-Bum
    • Nuclear Engineering and Technology
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    • v.38 no.8
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    • pp.809-818
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    • 2006
  • The existing experimental data related to the turbulent mixing factor in rod arrays is examined and a new definition of the turbulent mixing factor is introduced to take into account the turbulent mixing of fluids with various Prandtl numbers. The new definition of the mixing factor is based on the eddy diffusivity of energy. With this definition of the mixing factor, it was found that the geometrical parameter, ${\delta}_{ij}/D_h$ correlates the turbulent mixing data better than Sid, which has been used frequently in existing correlations. Based on the experimental data for a highly turbulent condition in square rod arrays, a correlation describing turbulent mixing dependent on the parameter ${\delta}_{ij}/D_h$ has been developed. The correlation is insensitive to the Re number and it takes into account the effect of the turbulent Prandtl number. The proposed correlation predicts a reasonable mixing even at a lower S/d ratio.

Bearing Capacity Factor of Shallow Foundation in Undrnined Clay Using the Diagrammatic Upper and Lower Bound Methods (도식적 상.하계법을 이용한 비배수 점토지반에서 얕은 기초의 지지력계수)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.27 no.5
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    • pp.45-59
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    • 2011
  • This study introduces the diagrammatic Upper and Lower Bound (UB and LB) methods theoretically in order to derive the bearing capacity factor, $N_c$ in undrained clay and to compare with Prandtl's exact solution (1921). As a result of the theoretical study, an exact solution comes out when the UB and LB solutions are the same. In addition, the finite element analyses show that the failure loads approach to the bearing capacity factor of 5.14. Results of the FEA significantly depend on the finite element type, a number of elements, and a number of increments. From this study the exact solution defines that solutions from UB and LB are the same. However, this situation is very difficult to process, so we can confirm the exact solution as a range between UB and LB solutions.

Effects of Prandtl Numbers on Heat Transfer of Backward-Facing Step Laminar Flow with a Pulsating Inlet (입구유동 가진이 있는 층류 후향계단 유동에서 열전달에 대한 프란틀수 효과해석)

  • Kim, Won-Hyun;Park, Tae-Seon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.9
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    • pp.923-930
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    • 2012
  • The wall heat transfer of backward-facing step laminar flows with different Prandtl numbers and a pulsating inlet is investigated by unsteady simulations. The inlet is perturbed by the variation of frequency and amplitude. Temperature-dependent transport properties are adopted. Various characteristics of the wall heat transfer are explained by the variation of the thermal boundary layer. For Pr < 1, the wall heat transfer of temperature-dependent properties is decreased compared to that of constant properties, whereas it increases for Pr < 1. In addition, the wall heat transfer increases depending on the pulsating amplitude. However, the results of frequency variation for St < 0.2 show that the heat transfer is strongly enhanced at a specific frequency. In particular, the increase in the wall heat transfer is strongly related to the root mean square of the fluctuations of the reattachment length.

Prandtl-Meyer Expansion Through a Small Wavy Wall of Supersonic Flow with Condensation in a Channel (유로내에서 응축을 수반하는 초음속 유동의 미소진폭 파형벽에 의한 Prandtl-Meyer 팽창)

  • 권순범;안형준;선우은
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1582-1589
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    • 1994
  • The characteristics Prandt1-Meyer expansion of supersonic flow with condensation through a wavy wall in a channel are investigated by experiment and numerical direct marching method of characteristics. In the present study, for the case of moist air flow in the type of indraft supersonic wind tunnel, the dependency of location of formation and reflection of the oblique shock wave generated by the wavy wall and the distribution of flow properties, on the specific humidity and temperature at the entrance of wavy wall and the attack angle of the wavy wall to the main stream is clarified by schlieren photograph, distribution of static pressure and Mach number, and plots of numerical results. Also, we confirm that the wavy wall plays an important key role in the formation of oblique shock wave, and that the effect of condensation on the flow field appears apparently.

Supersonic Plug Nozzle Design and Comparison to the Minimum Length Nozzle Configuration

  • Zebbiche, Toufik;Youbi, ZineEddine
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.1
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    • pp.27-42
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    • 2006
  • A method to design the contour and conception of a plug nozzle of arbitrary shape, but specified exit flow conditions is presented. Severals shapes can be obtained for exit Mach number by changing the specific heats ratio. The characteristics of the nozzle in terms of length, weight and pressure force exerted on the wall are compared to the Minimum Length Nozzle and found to be better. Our field of study is limited to the supersonic mode to not to have the dissociation of the molecules. The design method is based on the use of the Prandtl Meyer function of a perfect gas. The flow is not axial at the throat, which may be advantageous for many propulsion applications. The performance benefits of the plug nozzle compared to the Minimum Length Nozzle are also presented.

The impacts of thermophoresis via Cattaneo-Christov heat flux model

  • Ahmad, Manzoor;Hussain, Muzamal;Khadimallah, Mohamed A.;Ayed, Hamdi;Taj, Muhammad;Alshoaibi, Adil
    • Computers and Concrete
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    • v.29 no.4
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    • pp.255-262
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    • 2022
  • 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. The impacts of thermophoresis and Brownian motions are further accounted. The fluid impinging orthogonally on the surface is due to power-law slim coating liquid. The generalized newtonian fluid equation is used that obeys the power law constitutive equation to model our problem. The effect of velocity profiles, temperature for different values of n are investigated. The prandtl on the temperature distribution for partial slip and no slip cases is also observed. It is found that for larger values of prandtl number thermal diffusivity of fluid reduces and it enhance the decrease in temperature and boundary layer thickness.

Turbulent Natural Convection in a Square Enclosure Containing Internal Heat Generating Fluid (내부 발열유체를 가진 정사각 밀폐공간에서의 난류자연대류)

  • 이재헌;김석현;정종화;박만흥
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.1
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    • pp.112-121
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    • 1992
  • A numerical analysis was carried out to study two-dimensional turbulent natural convection in a square enclosure containing fluid of Prandtl number 6.05 within internal energy sources. The square enclosure was bounded by four rigid planes of constant equal temperature. Inclination angles of 0, 15, 30 and 45 deg. from the horizon for Rayleigh numbers from 1 * 10$^{6}$ to 1 * 10$^{9}$ were studied. Local and average Nusselts numbers are obtained on all four walls. If inclination angle exists, the average Nusselt number appears in increasing order at bottom, left, right and top wall.