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

Authors

  • Adel Al-Hemiri

DOI:

https://doi.org/10.31699/IJCPE.2011.2.3

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)

References

Wylie, C.R. and L.C. Barrett, (1995), "Advanced Engineering Mathematics", 6th Edition, McGraw-Hill.

Jenson, V.G. and G.V. Jeffreys, (2001), "Mathematical Methods in Chemical Engineering", 4th Edition, Academic Press.

Bird, R.B.; W.E. Stewart and E.N. Lightfoot, (2002), "Transport Phenomena", 2nd Edition, John Wiley.

Kreyszig, E., (1998), "Advanced Engineering Mathematics", 8th Edition, John Wiley.

Dennis, G.Z. and M.R. Cullen, (1999), "Advanced Engineering Mathematics", 3rd Edition, Jones and Bartlett

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Published

2011-06-30

Issue

Vol. 12 No. 2 (2011): Iraqi Journal of Chemical and Petroleum Engineering

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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. https://doi.org/10.31699/IJCPE.2011.2.3

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