Research on reconstruction algorithm of two dimensional radiation temperature field using infrared multi-spectral line

The objective of this article is to derive an analytical solution for a two-dimensional temperature field in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface, while the inner surface is insulated. The material is assumed to be homogeneous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic boundary condition is decomposed using the Fourier series. This condition is simulated with harmonic oscillation; however, there are some differences with the real situation. To solve this problem, first of all the boundary condition is assumed to be steady. By applying the method of separation of variables, the temperature distribution in a hollow cylinder can be obtained. Then, the boundary condition is assumed to be transient. In both these cases, the solutions are separately calculated. By using Duhamel's theorem, the temperature distribution field in a hollow cylinder is obtained. The final result is plotted with respect to the Biot and Fourier numbers. There is good agreement between the results of the proposed method and those reported by others for this geometry under a simple harmonic boundary condition.

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Equalizing calculus in Trefftz method for solving two-dimensional temperature field of FC-72 flowing along the minichannel

Heat and Mass Transfer ◽

10.1007/s00231-014-1315-3 ◽

2014 ◽

Vol 50 (8) ◽

pp. 1053-1063 ◽

Cited By ~ 24

Author(s):

Sylwia Hożejowska ◽

Magdalena Piasecka

Keyword(s):

Temperature Field ◽

Two Dimensional ◽

Trefftz Method

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Two-dimensional numerical study of temperature field in an anode supported planar SOFC: Effect of the chemical reaction

International Journal of Hydrogen Energy ◽

10.1016/j.ijhydene.2010.07.141 ◽

2011 ◽

Vol 36 (6) ◽

pp. 4228-4235 ◽

Cited By ~ 16

Author(s):

Bariza Zitouni ◽

G.M. Andreadis ◽

Ben Moussa Hocine ◽

Abdenebi Hafsia ◽

Haddad Djamel ◽

...

Keyword(s):

Temperature Field ◽

Chemical Reaction ◽

Numerical Study ◽

Two Dimensional

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Thermal Mapping, via Liquid Crystals, of the Temperature Field near a Heated Surgical Probe

Journal of Heat Transfer ◽

10.1115/1.3450036 ◽

1973 ◽

Vol 95 (2) ◽

pp. 250-256 ◽

Cited By ~ 11

Author(s):

T. E. Cooper ◽

J. P. Groff

Keyword(s):

Blood Flow ◽

Temperature Field ◽

Liquid Crystals ◽

Theoretical Model ◽

Wheatstone Bridge ◽

Visual Display ◽

Two Dimensional ◽

Test Medium ◽

One Dimensional ◽

Water Test

This paper discusses the use of heat for producing clinical lesions in tissue and presents the design and analysis of a resistively heated surgical probe. The probe surface temperature is accurately maintained and controlled by using a Wheatstone bridge. The probe was embedded in a clear agar–water test medium, and the temperature field generated by the probe was measured with liquid crystals, a material that provides a visual display of certain isotherms. Experimental results compare within approximately 10 percent of a two-dimensional numerical solution. A one-dimensional theoretical model is also developed which examines the influence of blood flow on the temperature field.

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An Efficient Signal Reconstruction Algorithm for Stepped Frequency MIMO-SAR in the Spotlight and Sliding Spotlight Modes

International Journal of Antennas and Propagation ◽

10.1155/2014/329340 ◽

2014 ◽

Vol 2014 ◽

pp. 1-8

Author(s):

Jiajia Zhang ◽

Guangcai Sun ◽

Mengdao Xing ◽

Zheng Bao ◽

Fang Zhou

Keyword(s):

Efficient Algorithm ◽

Low Cost ◽

Signal Reconstruction ◽

Multiple Input Multiple Output ◽

Reconstruction Algorithm ◽

Synthetic Aperture ◽

Two Dimensional ◽

Multiple Input ◽

Input Multiple Output ◽

Stepped Frequency

Multiple-input multiple-output (MIMO) synthetic aperture radar (SAR) using stepped frequency (SF) waveforms enables a high two-dimensional (2D) resolution with wider imaging swath at relatively low cost. However, only the stripmap mode has been discussed for SF MIMO-SAR. This paper presents an efficient algorithm to reconstruct the signal of SF MIMO-SAR in the spotlight and sliding spotlight modes, which includes Doppler ambiguity resolving algorithm based on subaperture division and an improved frequency-domain bandwidth synthesis (FBS) method. Both simulated and constructed data are used to validate the effectiveness of the proposed algorithm.

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A Method for Reconstruction of Boiler Combustion Temperature Field Based on Acoustic Tomography

Mathematical Problems in Engineering ◽

10.1155/2021/9922698 ◽

2021 ◽

Vol 2021 ◽

pp. 1-11

Author(s):

Yuhui Wu ◽

Xinzhi Zhou ◽

Li Zhao ◽

Chenlong Dong ◽

Hailin Wang

Keyword(s):

Temperature Field ◽

Temperature Distribution ◽

Optimal Parameter ◽

Interpolation Method ◽

Least Square Method ◽

Reconstruction Algorithm ◽

Least Square ◽

Temperature Fields ◽

Acoustic Tomography ◽

Measured Temperature

Acoustic tomography (AT), as a noninvasive temperature measurement method, can achieve temperature field measurement in harsh environments. In order to achieve the measurement of the temperature distribution in the furnace and improve the accuracy of AT reconstruction, a temperature field reconstruction algorithm based on the radial basis function (RBF) interpolation method optimized by the evaluation function (EF-RBFI for short) is proposed. Based on a small amount of temperature data obtained by the least square method (LSM), the RBF is used for interpolation. And, the functional relationship between the parameter of RBF and the root-mean-square (RMS) error of the reconstruction results is established in this paper, which serves as the objective function for the effect evaluation, so as to determine the optimal parameter of RBF. The detailed temperature description of the entire measured temperature field is finally established. Through the reconstruction of three different types of temperature fields provided by Dongfang Boiler Works, the results and error analysis show that the EF-RBFI algorithm can describe the temperature distribution information of the measured combustion area globally and is able to reconstruct the temperature field with high precision.

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