Generalized wavelet method for solving non-steady heat transfer model of fractional order

In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The operational matrix of fractional-order integration is utilized to reduce the original problem to a system of linear algebraic equations, and then the numerical solutions obtained by our method are compared with those obtained by CAS wavelet method. Lastly, illustrated examples are included to demonstrate the validity and applicability of the technique.

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Multiscale Parameter Identification Method for Three Dimension Steady Heat Transfer Model of Composite Materials

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.706-708.152 ◽

2013 ◽

Vol 706-708 ◽

pp. 152-157

Author(s):

Tang Wei Liu ◽

He Hua Xu ◽

Xue Lin Qiu ◽

Xiao Bin Shi

Keyword(s):

Heat Transfer ◽

Composite Materials ◽

Tikhonov Regularization ◽

Local Heat Transfer ◽

Local Heat ◽

Heat Transfer Model ◽

Tikhonov Regularization Method ◽

Transfer Model ◽

Three Dimension ◽

Steady Heat

In this paper, for heat conductivity identification of three dimension steady heat transfer model of composite materials, a new hybrid Tikhonov regularization mixed multiscale finite-element method is present. First the mathematical models of the forward and the coefficient inverse problems are discussed. Then the forward model is solved by mixed multiscale FEM which utilizes the effects of fine-scale heterogeneities through basis functions formulation computed from local heat transfer problems. At last the numerical approximation of inverse coefficient problem is obtained by Tikhonov regularization method.

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RADIATIVE HEAT TRANSFER MODEL IN ARBITRARY ENCLOSURES BY RAY-TRACING

Proceedings of the Second International Symposium on Radiation Transfer ◽

10.1615/ichmt.1997.intsymliqtwophaseflowtranspphenchtradtransfproc.60 ◽

1997 ◽

Cited By ~ 2

Author(s):

Wen Cai

Keyword(s):

Heat Transfer ◽

Ray Tracing ◽

Radiative Heat Transfer ◽

Radiative Heat ◽

Heat Transfer Model ◽

Transfer Model

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A Heat Transfer Model for Concentrating Silicon Solar Cells in a Spectrally Splitting Hybrid Receiver

Proceedings of the 15th International Heat Transfer Conference ◽

10.1615/ihtc15.sol.009067 ◽

2014 ◽

Cited By ~ 1

Author(s):

Ahmad Mojiri ◽

Cameron Stanley ◽

Elizabeth Thomsen ◽

Vernie Everett ◽

Andrew Blakers ◽

...

Keyword(s):

Heat Transfer ◽

Solar Cells ◽

Heat Transfer Model ◽

Silicon Solar Cells ◽

Transfer Model

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Theoretical Post-Dryout Heat Transfer Model

International Journal of Computational Physics Series ◽

10.29167/a1i1p142-150 ◽

2018 ◽

Vol 1 (1) ◽

pp. 142-150

Author(s):

Murat Tunc ◽

Ayse Nur Esen ◽

Doruk Sen ◽

Ahmet Karakas

Keyword(s):

Heat Transfer ◽

Droplet Diameter ◽

Heat Transfer Model ◽

Transfer Model ◽

Operating Pressure ◽

Vertical Pipe ◽

Two Phase ◽

Experimental Values ◽

Reactor Operating ◽

Coolant System

A theoretical post-dryout heat transfer model is developed for two-phase dispersed flow, one-dimensional vertical pipe in a post-CHF regime. Because of the presence of average droplet diameter lower bound in a two-phase sparse flow. Droplet diameter is also calculated. Obtained results are compared with experimental values. Experimental data is used two-phase flow steam-water in VVER-1200, reactor coolant system, reactor operating pressure is 16.2 MPa. On heater rod surface, dryout was detected as a result of jumping increase of the heater rod surface temperature. Results obtained display lower droplet dimensions than the experimentally obtained values.

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