Group analysis of granular activated carbon filter system

نویسندگان

  • Vahid Shirvani Department of Mathematics, IsG.C., Islamic Azad University, Islamabad Gharb, Iran نویسنده

کلمات کلیدی:

Lie symmetries, invariant solutions, optimal system, GAC filter system

چکیده

Lie symmetry method is applied to study the lifetime of granular activated carbon (GAC) filter system. Also, the optimal system of one dimensional subalgebras of the GAC filter system is constructed. The Lie invariants associated to the symmetry generators as well as the corresponding similarity reduced equations are also pointed out. Based on the obtained results, reduction of order is performed, which leads to new invariant exact solutions. The results obtained in this work are useful for understanding the dynamics of GAC filter system and can also be applied to other similar systems.

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بیوگرافی نویسنده

  • Vahid Shirvani، Department of Mathematics, IsG.C., Islamic Azad University, Islamabad Gharb, Iran

        

مراجع

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[5] Ibragimov, N.H. (1994). CRC Handbook of Lie Group Analysis of Differential Equations. 1 CRC Press, Boca Raton.

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[7] Craddock, M., Lennox, K. (2007). Lie group symmetries as integral transforms of fundamental solutions. J. Differential Equations. vol. 232, p. 652-674.

[8] Shirvani, V., Nadjafikhah, M. (2020). Symmetry analysis and conservation laws for higher order CamassaHolm equation. vol. 8, no. 2, p. 364-372.

[9] Bluman, G.W., Cheviacov, A.F., Anco, S.C. (2010). Applications of Symmetry Methods to Partial Differential Equations. Applied Mathematical Sciences. 168 Springer, New York.

چاپ شده

2025-09-22

ارجاع به مقاله

Group analysis of granular activated carbon filter system. (2025). پایگاه مقالات مرکز همایشهای مهندسی توسعه, 2(8). https://pubs.bcnf.ir/index.php/Articles/article/view/733

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