Study of Thermoelastic behaviour, Efficiency and Effectiveness of Rectangular Fin with Fractional Order Energy Balance Equation

Abstract

In this paper, the analytical solution is obtained for temperature distribution, efficiency, effectiveness and thermal stresses in convective fin of a rectangular profile with thermosensitive conductivity by implementing Homotopy Perturbation Method (HPM). This method is one of the effective tool to solve the fractional order non-linear diffussion equation with thermosensitive conductivity. The results obtained are illustrated graphically for better understanding of the effect of fractional parameter on fin effeciency and effectiveness with respect to thermogeometric fin parameter.

Keywords

• Fractional order thermoelasticity
• Homotopy Perturbation Method
• Fin efficiency
• Rectangular fin

References

1. Pawar S.P., Deshmukh K.C. and Kedar G.D., 2015, “Thermal stresses in functionally graded hollow sphere due to non-uniform Internal Heat Generation”, Applications and Applied Mathematics: An International Journal (AAM), 10(1), pp. 552-569.
2. Pawar S.P., Deshmukh K.C. and Jyoti Verma, 2017, “Thermal Behavior of functionally graded solid sphere due to non-uniform Internal Heat Generation”, Int. J. of Thermal Stresses, 40(1), pp 86-98.