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...
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| Format: | Article |
| Language: | English |
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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 |
| Summary: | 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)
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| ISSN: | 1997-4884 2618-0707 |