ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS
This paper studies an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction equation can be obtained using fundamental mathematics. In this paper, Non-Fourier heat conduction in a slab...
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| Format: | Article |
| Language: | fas |
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Semnan University
2013-04-01
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| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_1638_50a330f994158317889c03b745126c54.pdf |
| _version_ | 1797296672884129792 |
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| author | محمد Akbari سیف الله Saedodin فرشاد Kowsari سیف الله Saedodin داود Toghraie semiromi |
| author_facet | محمد Akbari سیف الله Saedodin فرشاد Kowsari سیف الله Saedodin داود Toghraie semiromi |
| author_sort | محمد Akbari |
| collection | DOAJ |
| description | This paper studies an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction equation can be obtained using fundamental mathematics. In this paper, Non-Fourier heat conduction in a slab that has an adiabatic left boundary and a right boundary with convection has been investigated. A complicated problem is split into multiple simpler problems which in turn can be combined to obtain a solution to the original problem. The original problem is divided into four subproblems by setting the heat generation term, the initial conditions and the boundary condition to different values in each subproblem. All solutions given in this paper can be easily proven by substituting them into the governing equation. |
| first_indexed | 2024-03-07T22:08:09Z |
| format | Article |
| id | doaj.art-6cffdef1529540299135c4330e0d157f |
| institution | Directory Open Access Journal |
| issn | 2008-4854 2783-2538 |
| language | fas |
| last_indexed | 2024-03-07T22:08:09Z |
| publishDate | 2013-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj.art-6cffdef1529540299135c4330e0d157f2024-02-23T18:57:27ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382013-04-011132698110.22075/jme.2017.16381638ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONSمحمد Akbariسیف الله Saedodinفرشاد Kowsariسیف الله Saedodinداود Toghraie semiromiThis paper studies an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction equation can be obtained using fundamental mathematics. In this paper, Non-Fourier heat conduction in a slab that has an adiabatic left boundary and a right boundary with convection has been investigated. A complicated problem is split into multiple simpler problems which in turn can be combined to obtain a solution to the original problem. The original problem is divided into four subproblems by setting the heat generation term, the initial conditions and the boundary condition to different values in each subproblem. All solutions given in this paper can be easily proven by substituting them into the governing equation.https://modelling.semnan.ac.ir/article_1638_50a330f994158317889c03b745126c54.pdfstructure theoremnon-fourieranalytical solutionconvectionadiabatic |
| spellingShingle | محمد Akbari سیف الله Saedodin فرشاد Kowsari سیف الله Saedodin داود Toghraie semiromi ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS مجله مدل سازی در مهندسی structure theorem non-fourier analytical solution convection adiabatic |
| title | ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS |
| title_full | ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS |
| title_fullStr | ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS |
| title_full_unstemmed | ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS |
| title_short | ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS |
| title_sort | analytical solution of non fourier heat conduction problem on a slab under convection boundary conditions |
| topic | structure theorem non-fourier analytical solution convection adiabatic |
| url | https://modelling.semnan.ac.ir/article_1638_50a330f994158317889c03b745126c54.pdf |
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