Analytical solution for fractional order temperature distribution in two dimensional multilayer composite circular discs

Abstract

This article deals with mathematical approach to discuss the time-fractional heat conduction in two dimensional multilayer circular discs. The fractional order heat conduction equation is generated by using caputo time derivative. All the layers of the two dimension multilayer circular are assume to be thermally isotropic and making a perfect thermal contact. The boundary and interface conditions are expressed by the Riemann-Liouville derivative and the combination of first and second kind boundary condition in angular direction of the circular disc and for the third kind boundary condition in the radial direction. This solution is also applicable for composite multiple layers problem with inner radius may be zero. Three multiple layer problem studied numerically and graphically….