A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS
A particular solution of the two and three dimensional unsteady state thermal or mass diffusion equation is obtained by introducing a combination of variables of the form, η = (x+y) / √ct , and η = (x+y+z) / √ct, for two and three dimensional equations respectively. And the corresponding solutions a...
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| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad/College of Engineering
2011-06-01
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| Series: | Iraqi Journal of Chemical and Petroleum Engineering |
| Subjects: | |
| Online Access: | http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/351 |
| _version_ | 1818495443262242816 |
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| author | Adel Al-Hemiri |
| author_facet | Adel Al-Hemiri |
| author_sort | Adel Al-Hemiri |
| collection | DOAJ |
| description | A particular solution of the two and three dimensional unsteady state thermal or mass diffusion equation is obtained by introducing a combination of variables of the form,
η = (x+y) / √ct , and η = (x+y+z) / √ct, for two and three dimensional equations
respectively. And the corresponding solutions are,
θ (t,x,y) = θ0 erfc (x+y)/√8ct and θ( t,x,y,z) =θ0 erfc (x+y+z/√12ct) |
| first_indexed | 2024-12-10T18:20:25Z |
| format | Article |
| id | doaj.art-76479089d89f4edd8114543d59ee5829 |
| institution | Directory Open Access Journal |
| issn | 1997-4884 2618-0707 |
| language | English |
| last_indexed | 2024-12-10T18:20:25Z |
| publishDate | 2011-06-01 |
| publisher | University of Baghdad/College of Engineering |
| record_format | Article |
| series | Iraqi Journal of Chemical and Petroleum Engineering |
| spelling | doaj.art-76479089d89f4edd8114543d59ee58292022-12-22T01:38:13ZengUniversity of Baghdad/College of EngineeringIraqi Journal of Chemical and Petroleum Engineering1997-48842618-07072011-06-01122A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONSAdel Al-HemiriA particular solution of the two and three dimensional unsteady state thermal or mass diffusion equation is obtained by introducing a combination of variables of the form, η = (x+y) / √ct , and η = (x+y+z) / √ct, for two and three dimensional equations respectively. And the corresponding solutions are, θ (t,x,y) = θ0 erfc (x+y)/√8ct and θ( t,x,y,z) =θ0 erfc (x+y+z/√12ct)http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/351Two and three dimensional equations, Particular solution. |
| spellingShingle | Adel Al-Hemiri A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS Iraqi Journal of Chemical and Petroleum Engineering Two and three dimensional equations, Particular solution. |
| title | A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS |
| title_full | A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS |
| title_fullStr | A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS |
| title_full_unstemmed | A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS |
| title_short | A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS |
| title_sort | particular solution of the two and three dimensional transient diffusion equations |
| topic | Two and three dimensional equations, Particular solution. |
| url | http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/351 |
| work_keys_str_mv | AT adelalhemiri aparticularsolutionofthetwoandthreedimensionaltransientdiffusionequations AT adelalhemiri particularsolutionofthetwoandthreedimensionaltransientdiffusionequations |