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Adomian decomposition sumudu transform method for solving a solid and porous fin with temperature dependent internal heat generation.

Patel T, Meher R - Springerplus (2016)

Bottom Line: In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation.The results are presented for the temperature distribution for the range of values of parameters appeared in the mathematical formulation and also compared with numerical solutions in order to verify the accuracy of the proposed method.It is found that the proposed method is in good agreement with direct numerical solution.

View Article: PubMed Central - PubMed

Affiliation: Department of Applied Mathematics and Humanities, SVNIT, Icchanath Circle, Surat, 395007 India.

ABSTRACT
In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation. In this study, we assume heat generation as a variable of fin temperature for solid and porous fin and the heat transfer through porous media is simulated by using Darcy's model. The results are presented for the temperature distribution for the range of values of parameters appeared in the mathematical formulation and also compared with numerical solutions in order to verify the accuracy of the proposed method. It is found that the proposed method is in good agreement with direct numerical solution.

No MeSH data available.


Related in: MedlinePlus

Schematic of fin geometry with the internal heat generation source
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Fig1: Schematic of fin geometry with the internal heat generation source

Mentions: Consider a longitudinal fin with a constant rectangular profile, section area A, length L, perimeter P, thermal conductivity k, and heat generation . Fin is attached to a surface with constant temperature and losses heat to the surrounding medium with temperature through a constant convective heat transfer coefficient h. Here we assumed that the temperature variation in the transfer direction is negligible, so heat conduction occurs only in the longitudinal direction (x direction). A schematic diagram of the described fin is shown in Fig. 1.Fig. 1


Adomian decomposition sumudu transform method for solving a solid and porous fin with temperature dependent internal heat generation.

Patel T, Meher R - Springerplus (2016)

Schematic of fin geometry with the internal heat generation source
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4837760&req=5

Fig1: Schematic of fin geometry with the internal heat generation source
Mentions: Consider a longitudinal fin with a constant rectangular profile, section area A, length L, perimeter P, thermal conductivity k, and heat generation . Fin is attached to a surface with constant temperature and losses heat to the surrounding medium with temperature through a constant convective heat transfer coefficient h. Here we assumed that the temperature variation in the transfer direction is negligible, so heat conduction occurs only in the longitudinal direction (x direction). A schematic diagram of the described fin is shown in Fig. 1.Fig. 1

Bottom Line: In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation.The results are presented for the temperature distribution for the range of values of parameters appeared in the mathematical formulation and also compared with numerical solutions in order to verify the accuracy of the proposed method.It is found that the proposed method is in good agreement with direct numerical solution.

View Article: PubMed Central - PubMed

Affiliation: Department of Applied Mathematics and Humanities, SVNIT, Icchanath Circle, Surat, 395007 India.

ABSTRACT
In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation. In this study, we assume heat generation as a variable of fin temperature for solid and porous fin and the heat transfer through porous media is simulated by using Darcy's model. The results are presented for the temperature distribution for the range of values of parameters appeared in the mathematical formulation and also compared with numerical solutions in order to verify the accuracy of the proposed method. It is found that the proposed method is in good agreement with direct numerical solution.

No MeSH data available.


Related in: MedlinePlus