Transient heat transfer analysis of the porous nonhomogeneous material structure

The present work describes transient heat transfer analysis of nonhomogeneous functionally graded structures considering porosity. The material properties are supposed to vary in the transverse direction, and effective material properties are calculated using Voigt's micromechanical scheme in conjunction with a power law. Here, porosities are randomly oriented with even distribution across the gradation direction. In-plane heat flux and Dirichlet boundary conditions are applied at the panel's top and bottom edges, respectively. The transient heat transfer response of a porous transverse graded plate is computed using commercially available ANSYS APDL software. The proposed model is verified by comparing it with the previously reported experimental and analytical results. Finally, through many numerical examples, a comprehensive report is presented to exemplify the effect of the power law and porosity index on the transient response of transverse graded panels.

Automated summary

This work presents a transient heat transfer analysis of nonhomogeneous functionally graded structures with porosity. The material properties vary in the transverse direction and the effective material properties are calculated using Voigt's micromechanical scheme and a power law. Randomly oriented porosities with even distribution across the gradation direction are considered. In-plane heat flux and Dirichlet boundary conditions are applied. The transient heat transfer response of a porous transverse graded plate is computed using ANSYS APDL software. The proposed model is verified through comparison with experimental and analytical results. Numerical examples are provided to illustrate the effect of the power law and porosity index on the transient response of transverse graded panels.