• 제목/요약/키워드: Biot Number

검색결과 60건 처리시간 0.018초

단축압출기 고체수송부에서의 비등온 열전달 현상에 관한 수치 해석 (Numerical Analysis of the Non-Isothermal Heat Transfer in Solids Conveying Zone of a Single Screw Extruder)

  • 안영철
    • 폴리머
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    • 제29권6호
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    • pp.549-556
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    • 2005
  • 단축압출기의 압출공정에서 고체수송부의 열전달 현상에 미치는 무차원수의 효과를 수치 해석적인 방법으로 연구하였다. 스크루의 기하학적 구조 및 특성에 따른 압출기 내에서의 고체 흐름 상태에 대한 이해를 바탕으로 고체 수송부에 대하여 열 수지 방정식을 세우고 무차원화하였다. 이에 유한체적법과 멱법칙 도식을 적용하여 이산화 방정식을 유도한 다음 반복 대입법과 완화법으로 해를 구하였다. 고체수송부의 열전달 특성을 규정하는 무차원수인 Biot 수와 Peclet 수가 수지 공급부의 온도와 고체수송부의 길이에 끼치는 영향을 조사하였다. Biot 수가 증가하면 냉각에 의한 열 손실이 지배하여 배럴의 온도는 급격히 감소하지만 고체층의 온도와 고체수송부의 길이에 미치는 영향은 적으며, Peclet 수가 증가하면 대류 항이 지배하여 고체층의 온도가 감소하고 고체수송부의 길이가 증가한다.

유한차분법에서 열손실 정확도에 미치는 Node 개수의 영향 (The Effect of the Number of Nodes on the Exactness of Heat Loss in the Finite Difference Method)

  • 전전우;강형석
    • 산업기술연구
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    • 제18권
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    • pp.195-202
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    • 1998
  • The effect of the number of nodes on the heat loss from a rectangular fin for a finite difference method is studied. There are two ways for selecting nodes for the upper half fin in this finite difference method. In the first place, all the ${\Delta}x$ are the same and all the ${\Delta}y$ are the same for the entire upper half fin. Incremental length of x (i.e. ${\Delta}x$) is divided by two near the fin tip while all the ${\Delta}y$ are the same for another way. The results show that 1) About 30 nodes are enough to obtain the satisfactory exact analysis (relative error < 5%) on the heat loss for a given range of Biot number in case of short fin (i.e. $L{\leq}2$). 2) Under usual circumstances (Bi<0.1), the relative error of heat loss between using 30 nodes and 90 nodes is within 4% for given range of non-dimensional fin length. 3) The relative error of the calculated heat loss (the number of node=90) as compared to the expected exact heat loss is less then 1.5% for Bi=0.1 and L=10 while that is over 13% for Bi=1.0 and L=10.

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핀끝이 절연되었다는 가정하에 삼각핀 해석에서의 오차 (Errors in the Triangular Fin Analysis under Assuming the Fin Tip is Insulated)

  • 강형석;김성준
    • 대한기계학회논문집
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    • 제18권7호
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    • pp.1783-1788
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    • 1994
  • A comparison of the temperature distributions along the wall and center of the fin and the heat loss from the fin, computed assuming the fin tip is insulated and assuming it is not insulated in a triangular fin, is performed by the two-dimensional forced analytic method. When the fin tip is not insulated, a comparison between forced analytic method and analytic method is made in the heat loss and temperature along the fin wall. The value of Biot number varies from 0.01 to 1.0. The root temperature and surrounding convection coefficients of the fin are assumed as a constant. The results are (1) the analysis on the triangular fin assuming the fin tip is insulated does not produce a good value as compared to that of not-insulated case as the non-dimensional fin length decreases and as the value of Biot number increases and (2) the errors between forced analytic method and analytic method are very small, but the former method is better for computer running time and accuracy.

사다리꼴 fin: 사각 fin과의 열손실 비교와 열손실에 미치는 경사요소의 효과 (Trapezoidal Fin : Comparison of Heat Loss with Rectangular Fin and the Effect of Slope Factor on the Heat Loss)

  • 강형석;윤세창
    • 산업기술연구
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    • 제21권A호
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    • pp.33-40
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    • 2001
  • Heat loss from the trapezoidal fins haying different upper side slope and that from a rectangular fin are investigated by the three dimensional analytic method. It is shown that the trapezoidal fins having different upper side slope become an approximate rectangular fin by inst adjusting the slope factor. The comparison of the heat loss between a rectangular fin and an approximate rectangular fin is represented as a function of the non-dimensional fin length, fin width and Biot number to make sure that the analysis on the trapezoidal fins having different upper side slope is countable. One of the results is that the relative value of heat loss between a rectangular fin and an approximate rectangular fin is less than 1.5% for given ranges of non-dimensional length and width in case of Bi = 0.1.

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여러 형상의 대칭적인 핀의 성능 해석 (Performance Analysis on the Various Shapes of Symmetric Fins)

  • 강형석
    • 산업기술연구
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    • 제16권
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    • pp.97-104
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    • 1996
  • A comparison of the fin effectiveness, thermal resistance, and fin efficiency between the symmetric triangular fin and the symmetric trapezoidal fin which has various slopes of the fin side is made. Also the relation between Biot number and the non-dimensional fin length for equal amount of heat loss from these fins is shown. For these analyses, a forced analytic method is used. In particular, the equation for the heat loss is used simultaneously for both the symmetric triangular fin and the symmetric trapezoidal fins by just adjusting the value of the slope factor. The value of Biot number varies from 0.01 to 1.0 and the non-dimensional fin length varies from 0.01 to 10. For simplicity, the root temperature and fin's surrounding convection coefficients are assumed constant and the condition is assumed to be steady state.

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유동 경계층이 다공성물질내 대류 열전달에 미치는 영향 (Effect of the Hydraulic Boundary Layer on the Convective Heat Transfer in Porous Media)

  • 진재식;이대영;강병하
    • 대한기계학회논문집B
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    • 제24권8호
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    • pp.1119-1127
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    • 2000
  • Convective heat transfer in a channel filled with porous media has been analyzed in this paper. The two-equation model is applied for the heat transfer analysis with the velocity profile, considering both the inertia and viscous effects. Based on a theoretical solution, the effect of the velocity profile on the convective heat transfer is investigated in detail. The Nusselt number is obtained in terms of the relevant physical parameters, such as the Biot number for the internal heat exchange, the ratio of effective conductivities between the fluid and solid phases, and hydraulic boundary layer thickness. The results indicate that the influence of the velocity profile is characterized within two regimes according to the two parameters, the Biot number and the conductivity ratio between the phases. The decrease in the heat transfer due to the hydraulic boundary layer thickness is 15% at most within a practical range of the pertinent parameters.

잔류 메틸렌 클로라이드 제거를 위한 마이크로웨이브를 이용한 파클리탁셀건조에서 확산계수 및 물질전달계수 추정 (Estimation of Diffusion Coefficient and Mass Transfer Coefficient in Microwave-Assisted Drying of Paclitaxel for Removal of Residual Methylene Chloride)

  • 김진현
    • Korean Chemical Engineering Research
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    • 제56권3호
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    • pp.430-434
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    • 2018
  • 본 연구에서는 잔류 메틸렌 클로라이드 제거를 위한 마이크로웨이브를 이용한 파클리탁셀 건조에서 유효확산계수 및 물질전달계수를 조사하였다. 모든 온도(35, 45, $55^{\circ}C$)에서 건조 초기에 많은 양의 잔류 메틸렌 클로라이드가 제거되었으며 건조 온도가 증가할수록 건조 효율은 증가하였다. 건조 온도가 증가할수록 파클리탁셀의 유효확산계수($1.299{\times}10^{-13}{\sim}2.571{\times}10^{-13}m^2/s$)와 물질전달계수($1.625{\times}10^{-11}{\sim}4.857{\times}10^{-11}m/s$)는 증가하였다. 또한 낮은 Biot 수(0.0100~0.0151)로부터 건조의 진행이 주로 파클리탁셀의 외부확산에 의해 조절됨을 알 수 있었다.

복사가열되는 적층원판의 비정상 열전달해석 (Analysis of Unsteady Heat Transfer of Radiatively Heated Stacked Disks)

  • 이주호;송태호;현재민
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.156-165
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    • 1994
  • Unsteady heat conduction in stacked disks in a furnace has been numerically solved The effects of relevant parameters such as disk spacing, aspect ratio, environmental temperature, Biot nember, etc. have been investigated. The highest temperature appears at the disk edge and the lowest at the center. Penetration of heat form the surface to the center requires some time. Heating should be slow for uniform temperature rise. Geometric parameters complicates the radiative and conductive heat transfer. Though the resulting dependence of temperature nonuniformity on various parameters is complicated, high uniformity of temperature is in general available by low Biot number and/or low environmental temperature.

Biot수를 고려한 균일두께의 환상휜에서의 과도열전달에 관한 연구 (A Study on the Transient Heat Transfer in Annular Fin with Uniform Thickness Considering Biot Number)

  • 김광수
    • 대한설비공학회지:설비저널
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    • 제14권2호
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    • pp.138-149
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    • 1985
  • The heat diffusion equation for an annular fin is analyzed using Laplace transformations. The fin has a uniform thickness with its edge heat loss and two temperature profiles at the base such as a step change in temperature or heat flux. To obtain the exact solutions for temperature distribution, this paper can detect the eigenvalues which satisfy the roots of transcendental equations in above two cases during inverse Laplace transformations. The exact solutions for temperature and heat flux are obtained with the infinite Series by dimensionless factors. The solutions are developed for small and large values of times. These series solutions converge rapidly for large values of time, but slowly for small.

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삼각핀에 대한 핀끝의 영향 (The Effect of Fin Tip on the Triangular Fin)

  • 강형석
    • 산업기술연구
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    • 제13권
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    • pp.81-87
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    • 1993
  • 핀끝이 절연 되었을 때와 절연되지 않았을 때의 두가지 경우에 대하여 삼각핀을 2차원적으로 해석하고 또한 삼각핀 끝의 온도를 단지 유한하다고 놓았을 때 이를 1차원적으로 해석하여 각각의 세가지 경우에 대한 핀으로 부터의 열손실과 핀중심을 따른 온도변화를 Biot number와 무차원적인 핀의 길이의 변화에 따라 비교 분석하여 구체적으로 삼각핀에 대한 핀끝의 영향을 보여준다. 결과들은 다음과 같다. 핀의 길이가 아주 짧을 경우 2차원적으로 해석한 핀끝이 절연되지 않았을 때의 열손실에 대한 같은 2차원적으로 해석한 핀끝이 절연 되었을 대의 열손실의 상대오차가 매우 크며 핀의 길이를 따른 무차원적인 온도변화는 1차원적으로 해석한 핀끝의 온도가 유한할 경우에 가장 낮은 값을 나타내며 2차원적으로 해석한 핀끝이 절연되었을 경우가 가장 높은 값을 나타낸다.

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