• Title/Summary/Keyword: Prandtl number

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Effect of a Magnetic Field on Mixed Convection of a Nanofluid in a Square Cavity

  • Sheikhzadeh, G.A.;Sebdani, S. Mazrouei;Mahmoodi, M.;Safaeizadeh, Elham;Hashemi, S.E.
    • Journal of Magnetics
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    • v.18 no.3
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    • pp.321-325
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    • 2013
  • The problem of mixed convection in a differentially heated lid-driven square cavity filled with Cu-water nanofluid under effect of a magnetic field is investigated numerically. The left and right walls of the cavity are kept at temperatures of $T_h$ and $T_c$ respectively while the horizontal walls are adiabatic. The top wall of the cavity moves in own plane from left to right. The effects of some pertinent parameters such as Richardson number (ranging from 0.1 to 10), the volume fraction of the nanoparticles (ranging 0 to 0.1) and the Hartmann number (ranging from 0 to 60) on the fluid flow and temperature fields and the rate of heat transfer in the cavity are investigated. It must be noted that in all calculations the Prandtl number of water as the pure fluid is kept at 6.8, while the Grashof number is considered fixed at 104. The obtained results show that the rate of heat transfer increases with an increase of the Reynolds number, while but it decreases with increase in the Hartmann number. Moreover it is found that based the Richardson and Hartmann numbers by increase in volume fraction of the nanoparticles the rate of heat transfer can be enhanced or deteriorated compared to the based fluid.

Turbulent Flow and heat Transfer in the Annular Passage with Repeated-Ribbed Roughness on Both Walls (양측벽면에 반복돌출형 거칠기가 있는 이중관통로내의 난류유동과 열전달)

  • 안수환;김덕현
    • Journal of Advanced Marine Engineering and Technology
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    • v.20 no.1
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    • pp.1-12
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    • 1996
  • The fully developed tubulent momentum and heat transfer induced by the square- ribbed roughness elements on both the inner and outer wall surfaces in the concentric annuli are studied analytically based on a modified turbulence model. Heat transfer coefficients for two conditions, i.e, a) inner wall heated as constant heat flux and outer wall insulated b) inner wall insulated and outer wall heated as constant heat flux, are investigated. The analytical results of the fluid flow are verified by experiment. The experiment is done with a pitot tube and a X-type hot wire anemometer to measure the time mean velocity profiles, zero shear stress positions, maximum velocity profiles and friction factors, and etc. The resulting momentum and heat transfer are discussed in terms of various parameters, such as the radius ratio, the relative roughness, the roughness density, Nusselt number and Prandtl number.

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Evaluation of Heat Transfer performance of Wire-coil Inserted Tube (와이어코일 삽입법을 이용한 열전달 촉진기술 성능평가)

  • 이주동;박종호;이상천
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.12 no.5
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    • pp.457-465
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    • 2000
  • An experiment was carried out to evaluate the thermal performance of the wire-coil inserts method. Tested were the smooth tubes with the wire-nil inserts of various pitch and helix angle combinations. Test fluids were the 50%-solution of the ethylene glycol and the Hue water. Heat transfer coefficient and friction factors were deduced from the measured values of temperatures, flowrates and pressure drops. A unified dimensionless correlation for the heat transfer coefficients was developed as a function of the pitch to diameter ratio, the Reynolds number and the Prandtl number. An exergy analysis was performed to evaluate an optimal operating condition with the wire-coil inserts.

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Numerical Analysis of Laminar Natural Convection Heat Transfer around Two Vertical Fins by a Spectral Finite Difference Method

  • Haehwan SONG;MOCHIMARU Yoshihiro
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.56-57
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    • 2003
  • A numerical solution is presented for the natural convection heat transfer from two vertical fins using a spectral finite difference method. Virtual distant boundary conditions for two bodies that are compatible with plume behavior and with an overall continuity condition are introduced. A boundary-fitted coordinate system is formed. Streamlines, isotherms, mean Nusselt numbers and drag & lift coefficients are presented for a variety of dimensionless parameters such as a Grashof number and a Prandtl number at a steady-state. Extensive effectiveness of a spectral finite difference method was established.

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An Investigation on Local Thermodynamic Equilibrium Assumption of Natural Convection in a Porous Medium (다공성 물질 안에서의 자연대류 현상에 대한 열역학적 국소평형상태 가정의 고찰)

  • Kim, In-Seon;Nam, Jin-Hyun;Kim, Charn-Jung
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.112-117
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    • 2000
  • A numerical study on natural convection in a vertical square cavity filled with a porous medium is carried out with Brinkman-Forchheimer-extended Darcy flow model, and the validity of local thermodynamic equilibrium assumption is studied. The local thermodynamic equilibrium refers to the state in which a single temperature can be used to describe a heat transfer process in a multiphase system. With this assumption, the analysis is greatly simplified because only one equation is needed to describe the heat transfer process. But prior to using this assumption, it is necessary to know in what conditions the assumption can be used. The numerical results of this study reveal that large temperature difference between fluid phase and solid phase exists near wall region, paticularily when the convection becomes dominant over conduction. And the influence of flow parameters such as fluid Rayleigh number, fluid Prandtl number, dimensionless particle diameter and conductivity ratio are investigated.

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Turbulent Heat Transfer in Rough Concentric Annuli With Heating Condition of Constant Wal Heat Flux (일정벽면열유속의 가열조건의 갖는 거친 동심환형관내의 난류열전달)

  • 손유식
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.1
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    • pp.54-61
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    • 1999
  • The fully developed turbulent momentum and heat transfer induced by the roughness elements on the outer wall surfaces in concentric annuli are analytically studied on the basis of a modified turbu-lence model. The resulting momentum and heat transfer are discussed in terms of various parame-ters such as the radius ratio the roughness density Reynolds number and Prandtl number accord-ing to the heating condition. The study shows that certain artificial roughness elements may be used to enhance heat transfer rates with advantage from the overall efficiency point of view.

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The Effect of Heat Conduction resistance on Laminar Film Condensation along a Horizontal Plate (수평평판의 막응축에서 전도 열저항의 영향)

  • Lee, Euk-Soo
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.06a
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    • pp.183-188
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    • 2005
  • The effect of heat conduction resistance on laminar film condensation of the pure saturated vapor in forced flow over a flat plate has been investigated as boundary layer solutions. A efficient numerical methods for water are proposed for its solution. The momentum and energy balance equations are reduced to a nonlinear system of ordinary differential equations with four parameters: the Prandtl number, Pr, Modified Jacob number, $Ja^{\ast}/Pr$, defined by an overall temperature difference, a property ratio $\sqrt{P_l{\mu}_l/P_v{\mu}_v}$ and the conjugate parameter ${\zeta}$. The similarity and simplified solutions obtained reveal the effects of the conjugate parameter.

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A Study of Conjugate Laminar Film Condensation on a Flat Plate (수평평판에서 복합 층류 막응축에 대한 연구)

  • Lee Euk-Soo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.17 no.4
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    • pp.303-311
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    • 2005
  • The problem of conjugate laminar film condensation of the pure saturated vapor in forced flow over a flat plate has been investigated as boundary layer solutions. A simple and efficient numerical method is proposed for its solution. The interfacial temperature is obtained as a root of 3rd order polynomial for laminar film condensation, and it is presented as a function of the conjugate parameter. The momentum and energy balance equations are reduced to a nonlinear system of ordinary differential equations with four parameters: the Prandtl number, Pr, Jacob number, $Ja^{\ast}$, defined by an overall temperature difference, a property ratio R and the conjugate parameter ${\zeta}$. The approximate solutions thus obtained reveal the effects of the conjugate parameter.

On the performance of heat absorption/generation and thermal stratification in mixed convective flow of an Oldroyd-B fluid

  • Hayat, Tasawar;Khan, Muhammad Ijaz;Waqas, Muhammad;Alsaedi, Ahmed
    • Nuclear Engineering and Technology
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    • v.49 no.8
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    • pp.1645-1653
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    • 2017
  • This investigation explores the thermally stratified stretchable flow of an Oldroyd-B material bounded by a linear stretched surface. Heat transfer characteristics are addressed through thermal stratification and heat generation/absorption. Formulation is arranged for mixed convection. Application of suitable transformations provides ordinary differential systems through partial differential systems. The homotopy concept is adopted for the solution of nonlinear differential systems. The influence of several arising variables on velocity and temperature is addressed. Besides this, the rate of heat transfer is calculated and presented in tabular form. It is noticed that velocity and Nusselt number increase when the thermal buoyancy parameter is enhanced. Moreover, temperature is found to decrease for larger values of Prandtl number and heat absorption parameter. Comparative analysis for limiting study is performed and excellent agreement is found.

A Numerical Study of Natural Convection within a Trapezoidal Enclosure (부채형 공간내의 자연대류에 관한 수치해석적 연구)

  • Bae, T.Y.;Bai, D.S.;Kwon, S.S.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.4 no.1
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    • pp.11-19
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    • 1992
  • The natural convection heat transfer within a trapezoidal enclosure with parallel cylindrical top and bottom walls at different temperatures and two adiabatic side walls are studied. A finite-difference method has been used to solve the governing equations numerically. The range of parameters studied herein are Prandtl number 0.7, aspect ratio from 0.5 to 4.0, Rayleigh number from $10^3$ to $3{\times}10^4$, enclosure tilt angle from 22.5 to 157.5 degrees. Mean and local Nusselt numbers are presented for discussing heat transfer characteristics within the enclosure. The heat balances for the hot and cold walls are differed by less than 1% for converged solutions, so these results appear to be reasonable.

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