Study of Convective Heating in a Thermosensitive Functionally Graded Plate with Time-Fractional Heat Equation

Abstract

The proposed study emphasis on to examine the temperature and stress distribution on functionally graded thermosensitive rectangular plate. Caputo derivative of order 0 to 2 is applied to analyses the rectangular plate when subjected to the convection heat. Present article illustrated the methodology and the mathematical model opt for framing the expression to address the issues regarding the properties of ceramic based material affected by the temperature. The present article studied the Goodier’s displacement function and Boussinesq Harmonic functions for developing the mathematical model for the rectangular plate and other engineering applications.