ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS

Akbari,; Saedodin,; Kowsari,; Saedodin,; Toghraie Semiromi,

doi:10.22075/jme.2017.1638

ANALYTICAL SOLUTION OF NON-FOURIER HEAT CONDUCTION PROBLEM ON A SLAB UNDER CONVECTION BOUNDARY CONDITIONS

Authors

10.22075/jme.2017.1638

Abstract

This paper studies an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction equation can be obtained using fundamental mathematics. In this paper, Non-Fourier heat conduction in a slab that has an adiabatic left boundary and a right boundary with convection has been investigated. A complicated problem is split into multiple simpler problems which in turn can be combined to obtain a solution to the original problem. The original problem is divided into four subproblems by setting the heat generation term, the initial conditions and the boundary condition to different values in each subproblem. All solutions given in this paper can be easily proven by substituting them into the governing equation.

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