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Analysis of Cooling Efficiency Using the Biot Number of a Rectangular Fin

Korean Society of Technical Education and Training, 2020
The performance of a rectangular fin, the relative value of the performance for L=0.1, and the ratio of the heat transfer from the fin tip to the total heat transfer from the rectangular fin were investigated using a two-dimensional analytical method. The variables are the Biot number and non-dimensional fin length. The relative resistance, effect, and
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Transient heat conduction at low Biot numbers: A supplement to Heisler's charts

Letters in Heat and Mass Transfer, 1981
Abstract Charts for trasient heat conduction in a cylinder of infinite length, an infinite flat plate, and a sphere are presented for a range of Biot numbers ( 1 100 to 1 1000 ) relevant to problems which involve cooling by natural convection.
W.C. Sha, E.N. Ganić
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APPLICATION OF THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THE INVERSE PROBLEM OF DETERMINATION OF THE BIOT NUMBER

International Journal of Computational Methods, 2013
This paper deals with the iterative inverse determination of the Biot number in the 2D steady-state heat conduction problem. The identification of the value of the Biot number is obtained by using the boundary data and additionally from the knowledge of the temperature inside the domain.
J. A. KOŁODZIEJ, M. MIERZWICZAK
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Approximate solutions for the ignition of a solid as a function of the Biot number

Fire and Materials, 2018
SummaryThe ignition of a finite planar 1‐dimensional solid is addressed for constant applied radiant heat flux. An ignition temperature criterion is used, with constant properties, and linearized reradiation. An approximate integral analysis leads to analytic formulas to predict the ignition time in terms of Biot (Bi) number and heat flux. The accuracy
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Biot Number Error in Low-Temperature Inconel Overall Effectiveness Experiments

Journal of Turbomachinery
Abstract To predict the performance of turbine materials at engine conditions, experiments are often performed at low-temperature laboratory conditions. In order to ensure the low-temperature, laboratory results accurately predict the nondimensionalized surface temperature at engine conditions, several nondimensional parameters must be ...
Bailey W. Hopkins   +3 more
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Critical Biot's number for Determination of the Sensitivity of Spherical Ceramics to Thermal Shock

Chinese Physics Letters, 2010
A critical Biot number, which determines both the sensitivity of spherical ceramics to quenching and the durations of the temperature-wave propagation and the thermal stresses in the ceramics subjected to thermal shock, is theoretically obtained. The results prove that once the Biot number of a ceramic sphere is greater than the critical number, its ...
Liu Qing-Nian   +3 more
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Addendum to "Direct Determination of the Biot Number in Oven Heating Tests"

Journal of Fire Sciences, 2000
The Forum is intended to provide for dialogue and discussion among fire experts, scientists and consultants. Contributions to The Forum will not be refereed in the conventional sense, but will be subject to review by the Journal's Editorial Board relative to appropriateness, clarity, timeliness, and scope of interest.
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Conjugate heat transfer in moving filament bundles with arbitrary biot numbers

Journal of Engineering Physics and Thermophysics, 1997
Ananalysis of heat transfer in a bundle of filaments with arbitrary Biot numbers is carried out based on an approximate method proposed in the article.
V. I. Eliseev, Yu. P. Sovit
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Fourier and Biot numbers and the accuracy of conduction modelling

1994
Recent validation work has shown the importance of accurate modelling in order to bring together experimental results and predictions. A number of important areas were identified: heat transfer coefficient, edge effects, etc. This paper dwells on the latter.
Hensen, J.L.M., Nakhi, A.
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On the limitations of analytical approximations for phase change problems with large biot numbers

Letters in Heat and Mass Transfer, 1981
Abstract While analytical approximation methods are attractive and widely used for phase change problems they may give physically fallacious results for larger Stefan and Biot numbers. In the following we show this for a simple one-phase melting process in a finite slab, obtaining estimates of how large these parameters may be.
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