Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation
Non-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization te...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/671619 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832557007619489792 |
|---|---|
| author | Sohel Rana Jeevan Kanesan Ahmed Wasif Reza Harikrishnan Ramiah |
| author_facet | Sohel Rana Jeevan Kanesan Ahmed Wasif Reza Harikrishnan Ramiah |
| author_sort | Sohel Rana |
| collection | DOAJ |
| description | Non-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without the loss of initial nonlinear/high frequency response. To reduce the increased computational time by Tikhonov WCAWE using ML (TWCAWE-ML), another well-conditioned scheme, called mass effect (ME) T-WCAWE, is introduced. TWCAWE with ME (TWCAWE-ME) showed more stable and accurate temperature spectrum in comparison to asymptotic wave evaluation (AWE) and also partial Pade AWE without sacrificing the computational time. However, the TWCAWE-ML remains as the most stable and hence accurate model to analyze the fast transient thermal analysis of non-Fourier heat conduction model. |
| format | Article |
| id | doaj-art-236c613d1edb4d43a8c639641dba529e |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-236c613d1edb4d43a8c639641dba529e2025-02-03T05:43:50ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/671619671619Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform EvaluationSohel Rana0Jeevan Kanesan1Ahmed Wasif Reza2Harikrishnan Ramiah3Department of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Electrical Engineering, Faculty of Engineering, University of Malaya, 50603 Kuala Lumpur, MalaysiaNon-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without the loss of initial nonlinear/high frequency response. To reduce the increased computational time by Tikhonov WCAWE using ML (TWCAWE-ML), another well-conditioned scheme, called mass effect (ME) T-WCAWE, is introduced. TWCAWE with ME (TWCAWE-ME) showed more stable and accurate temperature spectrum in comparison to asymptotic wave evaluation (AWE) and also partial Pade AWE without sacrificing the computational time. However, the TWCAWE-ML remains as the most stable and hence accurate model to analyze the fast transient thermal analysis of non-Fourier heat conduction model.http://dx.doi.org/10.1155/2014/671619 |
| spellingShingle | Sohel Rana Jeevan Kanesan Ahmed Wasif Reza Harikrishnan Ramiah Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation The Scientific World Journal |
| title | Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation |
| title_full | Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation |
| title_fullStr | Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation |
| title_full_unstemmed | Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation |
| title_short | Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation |
| title_sort | fast transient thermal analysis of non fourier heat conduction using tikhonov well conditioned asymptotic waveform evaluation |
| url | http://dx.doi.org/10.1155/2014/671619 |
| work_keys_str_mv | AT sohelrana fasttransientthermalanalysisofnonfourierheatconductionusingtikhonovwellconditionedasymptoticwaveformevaluation AT jeevankanesan fasttransientthermalanalysisofnonfourierheatconductionusingtikhonovwellconditionedasymptoticwaveformevaluation AT ahmedwasifreza fasttransientthermalanalysisofnonfourierheatconductionusingtikhonovwellconditionedasymptoticwaveformevaluation AT harikrishnanramiah fasttransientthermalanalysisofnonfourierheatconductionusingtikhonovwellconditionedasymptoticwaveformevaluation |