Objective of the Course:
The objective of this course is to provide students with the basic elements of effective coefficients and properties evaluation, make them aware and be able to conduct some assessments of effective coefficients while connecting the structure with properties of materials and composites. The course is not a plug-in for traditional homogeneous physics process courses.
Tentative outline:
The course will start with the introductory part to make students more familiar with the connection between everyday practical measures, properties of materials and devices and the fundamentals behind the formulations for effective coefficients in homogeneous and heterogeneous media. There will be a quick observation of spatial and temporal scales in materials and processes.
The few techniques and methodologies will be chosen to show the students how the properties of materials, composites are become known through measurements. Then, the scaling hierarchical theory will be introduced to students along with some background drawn from mathematics. Will be given a brief observation of such a cornerstone topic as theorems of Gauss-Ostrogradsky and Stocks type.
Then, the main part of the course proceed with knew material based on VAT advancement not known until 8-10 years ago. There will be also the one - or two detailed presentation, discussion and methodical study of problems involving structure- properties relations in materials and composites.
Specific topics include effective conductivity coefficients, porous media fluid flow permeability and flow regimes, topics concerning effective coefficient experiments in heterogeneous media and their data reduction. Among other major topics that will be covered in this course is the heat transport and electrostatics in heterogeneous media such as semiconductor devices and ferroelectrics.
Required Textbooks: none
Recommended Textbooks:
Travkin, V.S. and Catton, I., Chap. 1, ''TRANSPORT PHENOMENA IN HETEROGENEOUS MEDIA BASED ON VOLUME AVERAGING THEORY'', in Advances in Heat Transfer, Vol. 34, pp.1-144, (2001).
Kaviany, M., Principles of Heat Transfer in Porous Media, 2nd. edition, Springer, (1995).