2016
DOI: 10.12732/ijpam.v110i2.6
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A Study on Temperature-Distribution and Fin Efficiency of Convective Straight Fins With Temperature Dependent Thermal Conductivity of Fractional Order Energy Balance Equation by Using Adomian Decomposition Sumudu Transform Method

Abstract: In this study, an attempt has been made to fractionalize the governing energy balance equation and Adomian decomposition Sumudu transform method (ADSTM) is used to solve the nonlinear fractional order energy balance equation to find the temperature distribution and to check the efficiency of convective straight fin with temperature dependent thermal conductivity. The thermal conductivity of the fin material is assumed as a linear function of temperature to find the temperature distribution for different values… Show more

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Cited by 1 publication
(3 citation statements)
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“…Eqs. (24) and (25) can be numerically evaluated using Simpson's, trapezoidals, Weddle's rule or by means of numerical quadrature rule such as the adaptive Gauss-Kronrod quadrature. Preferably, one can transform Eqs.…”
Section: Mathematical Model and The Assumptionsmentioning
confidence: 99%
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“…Eqs. (24) and (25) can be numerically evaluated using Simpson's, trapezoidals, Weddle's rule or by means of numerical quadrature rule such as the adaptive Gauss-Kronrod quadrature. Preferably, one can transform Eqs.…”
Section: Mathematical Model and The Assumptionsmentioning
confidence: 99%
“…Preferably, one can transform Eqs. (24) and (25) numerically by adopting Simon's approach as used in the inverse Laplace transform to inverse the Sumudu transform:…”
Section: Mathematical Model and The Assumptionsmentioning
confidence: 99%
See 1 more Smart Citation