• Title/Summary/Keyword: Time Averaged Nusselt Number

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Heat Transfer of Oscillating Flow in a Cylinder with Regenerator (재생기를 가진 실린더내의 왕복유동에 관한 열전달)

  • 김진호;이재헌;강병하
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.7
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    • pp.1758-1769
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    • 1995
  • The heat transfer of oscillating flow in a cylinder with regenerator was investigated by the moving boundary technique. The flow in regenerator was modeled by means of Brinkman Forchheimer-Extended-Darcy equation . Results showed that when piston moved toward right, velocity vectors near cylinder wall at left piston and right side of regenerator inclined to symmetric axis and velocity vectors near cylinder wall at right piston and left side of regenerator inclined to cylinder wall. And the time averaged Nusselt number was increased by 46.73% when the oscillatory frequency became twice and decreased by 31.46% when the oscillatory frequency became half. The time averaged Nusselt number was increased by 18.09% when thickness of the regenerator became twice and decreased by 7.53% when thickness of the regenerator became half. But mesh size of regenerator hardly affected the Nusselt number. And efficiency of regenerator was larger as the oscillatory frequency was smaller, thickness and mesh size of regenerator was larger.

Heat Transfer by an Oscillating Flow in a Circular Pipe with Sinusoidal Wall Temperature Distributions (벽온도분포가 정현파인 원관에서 왕복유동에 의한 열전달 해석)

  • 이대영;박상진;노승탁
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.12
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    • pp.3208-3216
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    • 1993
  • Heat transfer characteristics of the laminar oscillating flow in a circular pipe have been studied under the condition that the wall temperature of the pipe is distributed sinusoidally with the axial direction. The axial velocity was assumed to be uniform in radial direction and the temperature field was analyzed by means of the perturbation method. The results show that the difference between wall and section-time-averaged fluid temperature increases as the oscillating frequency increases and eventually converges to a constant value which is determined by the ratio of swept distance to the characteristic length of wall temperature distribution. Also it is shown that the dominant variable in the heat transfer process when swept distance ratio is greater than 1 is not thermal Womersley number(F) but thermal Womersley number multiplied by the square root of swept distance ratio. The variation of the time-averaged Nusselt number is obtained as a function of F. The results indicate that Nusselt number is proportional to $F_{\epsilon}^{1/2}$ when both of F and .epsilon. are much greater than 1.

An Investigation on Heat transfer Characteristics of Inclined Wall Attaching Offest jet (경사진 벽부착 제트의 열전달 특성에 대한 연구)

  • 심재경
    • Journal of Advanced Marine Engineering and Technology
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    • v.22 no.2
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    • pp.200-209
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    • 1998
  • Experiments have been conducted to determine heat transfer characteristics for a two-dimen-sional turbulent wall attaching offset jet at different oblique angles to a flat surface. The local Nusselt number distributions were measured using liquid crystal as a temperature sensor. Wall static pressure coefficient profiles were measured at the Reynolds number Re 53200(based on the nozzle width, D) the offset ratio H/D from 2.5 to 10 and the oblique angle a from $0^{\circ}$, to $40^{\circ}$ It is observed that the maximum Nusselt number point occurs slightly upstream of time-averaged reattachment point for all oblique angles. The correlations between the maximum Nusselt number and Reynolds number offset ration and oblique angle are presented.

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Convective heat transfer characteristics of a two-dimensional turbulent wall attaching offset jet (2차원 난류 벽부착제트의 대류열전달 특성)

  • Yun, Sun-Hyeon;Lee, Dae-Hui;Song, Heung-Bok;Kim, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.10
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    • pp.3304-3312
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    • 1996
  • An experimental study on the convective heat transfer characteristics was performed for a two-dimensional wall attaching offset jet(WAOJ). Thermochromic liquid crystal was used to measure the plate wall temperature. The Nusselt number was measured for Reynolds numbers from 6, 500 to 39, 000, and the offset ratios from 0.5 to 15. The maximum Nusselt number point coincides with the time-averaged reattachment point and Nusselt number decreases monotonically after the jet reattaches on the wall. In the recirculation region Nusselt number minimize near the upstream corner and then increases as X/D decreases to vanishes. This suggests the existence of secondary vortices, causing an additional mixing of the flow in the corner. The correlations between the local Nusselt number and Reynolds number, Re, offset ratio, H/D, and streamwise distance, X/D are presented.

Numerical Simulation of Natural Convection in a Horizontal Enclosure with a Conducting Square Body (사각 전도체가 존재하는 수평 밀폐계 내부의 자연대류 현상에 대한 수치적 연구)

  • Lee Jae Ryong;Ha Man Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.2 s.233
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    • pp.189-196
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    • 2005
  • The physical model considered here is a horizontal layer of fluid heated below and cold above with a conducting body placed at the center of the layer. The body has dimensionless thermal conductivities to the fluid of 0.1, 1 and 50. Two-dimensional solution for unsteady natural convection is obtained using an accurate and efficient Chebyshev spectral methodology for different Rayleigh numbers. Multi-domain technique is used to handle a square-shaped conducting body. The results for the case of a conducting body are also compared to those of adiabatic and neutral isothermal bodies. When the dimensionless thermal conductivity is 0.1, a pattern of fluid flow and isotherms and the corresponding time-averaged surface Nusselt number are almost the same as the case of an adiabatic body. When the dimensionless thermal conductivity is 50, a pattern of flow and isotherm and the corresponding surface and time-averaged Nusselt number are similar to those of neutral body. The results for the case of dimensionless thermal conductivity of unity are also compared to those of pure natural convection.

Effect of Prandtl Number on Natural Convection in Tilted Square Enclosure with Inner Circular Cylinder (Prandtl 수 변화가 내부 원형 실린더가 존재하는 기울어진 정사각형 밀폐계 내부의 자연대류 현상에 미치는 영향)

  • Mun, Gi Su;Choi, Changyoung;Ha, Man Yeong;Yoon, Hyun Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.11
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    • pp.935-942
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    • 2014
  • A numerical analysis of the effect of the Prandtl number on the natural convection in a cold outer tilted square enclosure with an inner hot circular cylinder is presented. Several Prandtl numbers (Pr=0.1, 0.7, 7) are considered, with different angles($0^{\circ}$, $15^{\circ}$, $30^{\circ}$, $45^{\circ}$) for the enclosure and Rayleigh numbers ($Ra=10^3$, $10^4$, $10^5$). The effect of the Prandtl number on the natural convection is analyzed using isotherms and streamline and surface-averaged Nusselt numbers. The flow and heat transfer characteristics are found to be dependent on the time for $Ra=10^5$ and Pr=0.1 at angles of $0^{\circ}$ and $45^{\circ}$. However, in the other cases, the flow and heat transfer characteristics are independent of the time.The surfaceaveraged Nusselt number increases with an increase in the Prandtl number. As the Prandtl number increases, the Nusselt number becomes larger regardless of the angle for $Ra=10^5$. In particular, the Nusselt number steeply increases when the angle is $45^{\circ}$ for $Ra=10^5$ and Pr=0.1.

A Numerical Analysis on the Transient Heat Transfer in a Heat Exchanger Pipe Flow

  • Chang, Keun-Sun;Kweon, Young-Chel;Jin, Seong-Ryung
    • Nuclear Engineering and Technology
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    • v.32 no.1
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    • pp.46-56
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    • 2000
  • Numerical results are presented for the 2-dimensional turbulent transient heat transfer of the shell/tube heat exchanger with a step change of the inlet temperature in the primary side. Heat transfer boundary conditions outside the pipe are given partially by the convection heat transfer conditions and partially by insulated conditions. Calculation results were obtained by solving the unsteady two-dimensional elliptic forms for the Reynolds-averaged governing equations for the mass, momentum and energy. Finite-difference method was used to obtain discretization equations, and the SIMPLER solution algorithm was employed for the calculation procedure. Turbulent model used is the algebraic model proposed by Cebeci-Smith. Results presented include the time variant Nusselt number distribution, average temperature distribution and outlet temperatures for the various inlet temperatures and flow rates.

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

  • Seo, Young Min;Choi, Changyoung;Ha, Man Yeong;Park, Sang Hu
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.12
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    • pp.975-982
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    • 2014
  • This study evaluates the effect of a heated circular cylinder's size on three-dimensional natural convection in a cubical enclosure. The Rayleigh number was varied between $10^3$ and $10^5$, and the Prandtl number was maintained at 0.7. In this study, the radius of the circular cylinder was changed by 0.1 L within a range of 0.1-0.4 L. The thermal and fluid flow characteristics were regarded to be independent of time in the range of the Rayleigh number and cylinder radius considered in this study. The surface-averaged Nusselt numbers of the cylinder and the enclosure were found to increase with the increase in the radius of the cylinder. The effect of the cylinder's size on natural convection in the enclosure was analyzed across the thermal and flow fields, and the distributions of the Nusselt numbers.

Natural Convection in Tilted Square Enclosure with Inner Circular Cylinder at Different Vertical Locations (내부 원형 실린더의 위치 변화에 따른 기울어진 사각 밀폐계 내부의 자연대류 현상)

  • Jeong, Seung Jae;Yoon, Hyun Sik;Choi, Changyoung;Ha, Man Young
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.12
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    • pp.1113-1120
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    • 2013
  • A numerical analysis of the effect of the position of a circular cylinder in a $45^{\circ}$ tilted enclosure on natural convection in the enclosure is presented. The location of the cylinder is changed between -0.4 and 0.4. The Rayleigh number is varied between $10^3$ and $10^5$. The effect of the location of the cylinder on natural convection in the enclosure is analyzed by the isothermal line, stream line, and surface-averaged Nusselt number. The flow and heat transfer characteristics are independent of time in the range of the Rayleigh number and cylinder location that is considered in this study. The surface-averaged Nusselt number of the cylinder and enclosure increases as the cylinder gets closer to the wall of the enclosure.

An investigation on heat transfer effects of two dimensional plane jet attaching offseted obliqued wall (단이 진 경사벽면에 부착되는 2차원 평면제트의 열전달 효과에 관한 연구)

  • Yun, Sun-Hyeon;Lee, Dae-Hui;Sim, Jae-Gyeong;Song, Heung-Bok
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.21 no.10
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    • pp.1314-1325
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    • 1997
  • Experiments have been conducted to determine the flow and heat transfer characteristics for a two-dimensional turbulent wall attaching offset jet at different oblique angles to a flat surface. The distributions of the wall static pressure coefficient and time-averaged reattachment position for various offset ratios and oblique angles have been measured. The local Nusselt number distributions on the plate surface were also measured using liquid crystal as a temperature indicator. The new hue-capturing technique utilizing a true color image processing system was used to accurately determine the temperature of the liquid crystal. The experiments were carried out at Reynolds number, Re (based on D) of from 7300 to 21,300 with offset ratio, H/D from 2.5 to 10, and oblique angle, .alpha. from 0 deg. to 400 deg..