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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

Temperature distribution of porous fin with temperature dependent internal heat generation for the different values of convective parameter and for a, b, c
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Fig11: Temperature distribution of porous fin with temperature dependent internal heat generation for the different values of convective parameter and for a, b, c

Mentions: Figure 10 shows the comparison between the numerical solution and ADSTM solution for temperature distribution when G = 0.4, and for the different value of M and for . At last, it can be concluded that the analytical results correspond exactly with the numerical results. This means that the ADSTM has a high aptitude in solving highly nonlinear initial and boundary value problems without involving linearization. Figure 11 shows the variation of temperature distribution of porous fin with temperature dependent internal heat generation when G = 0.4, and for the different value of M and for .Fig. 10


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

Patel T, Meher R - Springerplus (2016)

Temperature distribution of porous fin with temperature dependent internal heat generation for the different values of convective parameter and for a, b, c
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

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

Fig11: Temperature distribution of porous fin with temperature dependent internal heat generation for the different values of convective parameter and for a, b, c
Mentions: Figure 10 shows the comparison between the numerical solution and ADSTM solution for temperature distribution when G = 0.4, and for the different value of M and for . At last, it can be concluded that the analytical results correspond exactly with the numerical results. This means that the ADSTM has a high aptitude in solving highly nonlinear initial and boundary value problems without involving linearization. Figure 11 shows the variation of temperature distribution of porous fin with temperature dependent internal heat generation when G = 0.4, and for the different value of M and for .Fig. 10

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