Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
ANALYTICAL TRANSIENT HEAT CONDUCTION THROUGH COMPOSITE HOLLOW CYLINDERS MEDIUM SUBJECTED TO MULTIPLE BOUNDARY CONDITIONS
Submission Author:
Gabriel Saavedra , SP
Co-Authors:
Gabriel Saavedra, Marcelo De Lemos
Presenter: Gabriel Saavedra
doi://10.26678/ABCM.COBEM2019.COB2019-0716
Abstract
This study presents an analytical method of non-steady radial heat conduction in a multilayer cylinder medium with combined boundary conditions. The analysis developed here provides the capability to extend the applications for multiple given boundary conditions in closed-form solutions remodeling the original governing heat conduction equation into spatial state form using Laplace transformation solved for the s-domain, followed by the use of distributed transfer functions that result on Green’s functions when the inverse Laplace transform is performed. In comparison to other methods, the mathematical framework presented just involves two by two matrixes procedures, which turns out simplifying efforts for the solution implementation for any number of layers. Further, a validation using computational finite element approach is presented along with the analytical method in order to verify the correctness and accuracy of the solution. The methodology described here can be useful for many emerging fields which both transient and steady-state heat transfer are important parameters to be accounted.
Keywords
Analytical Non-steady Heat Conduction, Composite Hollow Cylinder Medium, Laplace Transform, Distributed Transfer Functions
