A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS

  • Adel Al-Hemiri
Keywords: Two and three dimensional equations, Particular solution.

Abstract

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)

Published
2011-06-30
How to Cite
Al-Hemiri, A. (2011). A PARTICULAR SOLUTION OF THE TWO AND THREE DIMENSIONAL TRANSIENT DIFFUSION EQUATIONS. Iraqi Journal of Chemical and Petroleum Engineering, 12(2), 18-20. Retrieved from http://ijcpe.uobaghdad.edu.iq/index.php/ijcpe/article/view/351
Issue
Vol 12 No 2 (2011): Iraqi Journal of Chemical and Petroleum Engineering
Section
Articles

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