• 설비공학논문집
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• 제12권4호
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• pp.388-397
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• 2000

Comparison of the heat conduction into a trapezoidal fin and the heat loss from the fin by convection is made in this study Also, the ratio of heat loss from each surface to the total heat loss and the temperature distribution are analyzed using a 3-D analytical method. A trapezoidal fin whose tip height is half the root height is chosen as the model. The results show that the heat transfer rates from the tip and from both sides are comparable with each other as the non-dimensional width and length vary while the heat transfer rate from the bottom and top is dominant.

• 산업기술연구
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• 제22권B호
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• pp.21-26
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• 2002

The non-dimensional heat loss from a thermally asymmetric triangular fin is investigated as a function of a ratio of upper and lower surface Biot numbers (Bi2/Bi1), the non-dimensional fin length and tip surface Biot number using the two-dimensional separation of variables method. The effect of fin tip surface Biot number on the variation of the non-dimensional temperature along the sloped upper and lower surfaces for the thermally asymmetric condition is presented. The relationship between the non-dimensional fin length and the fin tip surface Biot number for equal amount of heat loss is also discussed as well as the relationship between upper surface Biot number and tip surface Biot number for equal amount of heat loss.

• 대한기계학회논문집B
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• 제27권5호
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• pp.579-588
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• 2003

Optimum fin effectiveness of geometrically and thermally asymmetric trapezoidal fins is represented as a function of the ratio of the fin bottom to top Biot numbers, the ratio of the fin tip to top Biot numbers and fin shape factor. Optimum fin effectiveness is taken as 98% of the maximum fin effectiveness by comparing the increasing rate of fin effectiveness with that of dimensionless fin length. For this analysis, two dimensional separation of variables method is used. Also, the value of the slope of upper surface of the fin and fin efficiency corresponding to optimum effectiveness are presented.

• 산업기술연구
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• 제26권B호
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• pp.29-34
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• 2006

A convective, radiating rectangular fin is analysed by using the one dimensional analytic method. Instead of constant fin base temperature, heat conduction from the inner wall to the fin base is considered as the fin base boundary condition. Radiation heat transfer is approximately linearized. For different fin tip length, temperature profile along the normalized fin position is shown. The fin tip length for 98% of the maximum heat loss with the variations of fin base length and radiation characteristic number is listed. The maximum heat loss is presented as a function of the fin base length, radiation characteristic number and Biot number.

• 대한기계학회논문집B
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• 제20권2호
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• pp.689-696
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• 1996

A comparison is made of the heat loss from a hollow cylinder, computed using an one-dimensional analytic method and a two-dimensional separation of variables scheme. For a two-dimensional analysis, the temperature of the inner surface as a boundary condition can be varied along the length of the cylinder by varing the temperature variation factor, b. Comparisons of the heat loss from the hollow cylinder using these two methods are given as a function of non-dimensional cylinder length, the ratio of the outer radius to the inner radius, temperature variation factor and Biot number. The result shows that the value of the heat loss from the hollow cylinder obtained using the one-dimensional analytic method becomes close to the value given by the two-dimensional separation of variables scheme as the value of Biot number and the non-dimensional hollow cylinder length increase and as the ratio of the outer radius to the inner radius decreases.

• 대한기계학회논문집B
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• 제26권1호
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• pp.66-73
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• 2002

Fin effectiveness and efficiency of a thermally asymmetric triangular fin are represented as a function of the ratio of fin lower surface Biot number to upper surface Biot number and the non-dimensional fin length. For this analysis, two dimensional separation of variables method is used. When fin effectiveness is 2 and efficiency is 90%, the relationship between the non-dimensional fin length and the ratio of fin lower stir(ace Biot number to upper surface Biot number is shown. The relationship between the non-dimensional fin length and the upper surface Biot number for the same condition is also presented.

• 설비공학논문집
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• 제16권8호
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• pp.683-690
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• 2004

A modified rectangular fin is analyzed by two-dimensional analytic method and finite difference method. Relative error of heat loss from the modified rectangular fin between analytic method and finite difference method is presented. Comparisons of fin effectiveness and heat loss between a modified rectangular fin and a plane rectangular fin are made as a function of the non-dimensional fin length and wing height for different positions of wings by using analytic method. The ratio of the incremental rate of heat loss to that of the area of a modified rectangular fin is shown as a function of the wing height. One of the results shows that performance of a modified fin is more improved as the wing approaches the fin root.

• 산업기술연구
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• 제20권B호
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• pp.21-26
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• 2000

Heat loss, fin effectiveness and efficiency of a plate fin are investigated as a function of non-dimensional fin length and Biot number using a two-dimensional separation of variables method. The value of temperature of the left side is set to be different from that of the right side for this plate fin to satisfy the real physical condition. Also temperature distribution within this plate fin is listed. One of the results shows that the fin can be considered to be useful in view of fin effectiveness on the given range of Biot number when non-dimensional fin length is larger than 3.

• 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.

• 한국추진공학회지
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• 제7권1호
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• pp.1-9
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• 2003

체적이 일정할 때 복사열을 고려하지 않은 직각 형상 환형 휜을 2차원 해석적 방법을 사용하여 최적화한다. 휜 바닥 경계 조건을 위하여 파이프 내의 유체로부터 파이프 내벽까지의 대류와 파이프 내벽으로부터 휜 바닥까지의 전도를 고려한다. 휜 끝 반경을 통한 열손실은 무시되지 않는다. 최대 열손실, 최대 열손실이 일어날 때의 최적의 휜 끝 반경 그리고 최적의 휜 두께의 반이 휜 바닥 반경, 휜 표면 주위의 Biot 수 그리고 파이프 내의 Biot 수의 함수로 나타내어진다. 결과들은 1) 파이프 내의 Biot 수와 휜 주위의 Biot 수가 증가함에 따라, 휜 바닥 반경이 감소함에 따라 최대 열손실은 증가하며 2) 파이프 내의 Biot 수가 감소하거나 휜 바닥 반경과 횐 주위의 Biot 수가 증가함에 따라 최적의 휜 두께는 증가한다.