Objective of the Course:
The course might be structured for undergraduate students audience as well as for more qualified graduate and professional level class. The objective of this course is to provide students with some basic elements of understanding of measurements in and over Heterogeneous media and materials. The large volume of Heterogeneous scaled physics dictates the selection of new information for specific disciplines or fields.
Because the methodologies of this course constructed on the Heterogeneous media modeling mathematics and can (should) be applied to almost any physical discipline, the materials in the course at the beginning give some basics toward the understanding of homogeneous media, experimental methods and heterogeneous ones.
The course content will give students some basic definitions in physics and mathematics of collective phenomena and techniques for connecting the properties of materials and composites at different scales. To the features such as nonstationarity, nonlinearity and multidimensionality of transfer processes in heterogeneous materials and in the heterogeneous coatings on surface of structures will be given attention and studied their influence on the measured values, such as heat or EM fields fluxes.
Design of modern technology devices and processes in every engineering field is based on some mathematical models for corresponding physical process. Sometimes extreme conditions in the process prevent the methods of traditional metrology to be applied with satisfactory achievable results for corresponding properties. The scaling measurements at present time have been developed mostly for measurement of thermophysical characteristics. Will be given features and techniques for few methods of thermophysical characteristics determination.
Well known and presented in almost each textbook on thermal physics, electrodynamics, fluid mechanics problems for measurements in canonical geometries - such as layered and regular globular media, will be discussed based on the homogeneous set-ups. Hands-on measurements of thermal conductivities for some appropriate media will be studied with homogeneous and heterogeneous technique details.
The methods of identification of mathematical models for thermal transport using methodology of the inverse problem will be given for homogeneous and heterogeneous media. The reduction of volume of necessary experimental tests, and needed resources for providing technology prototypes can be observed while applying some features of the Design of Experiments (DOE) for homogeneous and heterogeneous media experiments.
We will apply in class few scaling techniques for engineering problems in semiconductor technology (electrical and thermal conductivity), some examples in materials science, environmental engineering and chemical engineering.
The very known in many fields problem of flow resistance in obstructed or porous media will be studied with the most known up today heterogeneous technique details. We study some examples with the regular and irregular arrangements of flow obstructing elements.
The working problem for heat protection design will be studied using known event of shuttle Columbia disintegration on 02-01-2003. In such practical situation the heterogeneous scaled design methods for assessing certain properties of analyzed protective system (for example, as layered composite system) as thermophysical characteristics will be provided to students and analyzed in class.
Required Textbooks: none
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).
Slattery, J.C., Momentum, Energy and Mass Transfer in Continua, Krieger, Malabar, (1980).
Whitaker, S., ''Volume Averaging of Transport Equations'', Chap. 1, in Fluid Transport in Porous Media, Computational Mechanics Publications, Southampton, UK, (1997).