Estimation of the Time-Dependent Heat Flux Using the Temperature Distribution at a Point

被引:0
作者
M. Mohammadiun
Asghar B. Rahimi
机构
[1] Shahrood branch,Department of Mechanical Engineering
[2] Islamic Azad University,Faculty of Engineering
[3] Ferdowsi University of Mashhad,undefined
来源
Arabian Journal for Science and Engineering | 2013年 / 38卷
关键词
Conjugate gradient method; Adjoint problem; Time-dependent heat flux; Noisy data; Good accuracy; General coordinate method; Good stability; Sensor position;
D O I
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中图分类号
学科分类号
摘要
In this paper, the conjugate gradient method coupled with adjoint problem is used to solve the inverse heat conduction problem (IHCP) and estimation of the time-dependent heat flux using the temperature distribution at a point. In addition, the effects of noisy data and position of measured temperature on final solution are studied. The numerical solution of the governing equations is obtained by employing a finite-difference technique. For solving this problem, the general coordinate method is used. We solve the IHCP of estimating the transient heat flux, applied on part of the boundary of an irregular region. The irregular region in the physical domain (r, z) is transformed into a rectangle in the computational domain (ξ, η). The present formulation is general and can be applied to the solution of boundary IHCP over any region that can be mapped into a rectangle. The obtained results for few selected examples show the good accuracy of the presented method. In addition, the solutions have good stability even if the input data includes noise and that the results are nearly independent of sensor position.
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页码:971 / 981
页数:10
相关论文
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