Students should be aware and have to give some thoughts regarding their undergraduate, graduate, and post-doctoral education based on the information - which is the University and Institution able to teach, practice, and develop applications based on the correct fundamental courses for Heterogeneous Matters, Media, Devices and True Multiscaling in the following fundamental disciplines:
1) Heat Transfer;
2) Mass Transfer;
3) Thermal Physics;
4) Fluid Mechanics ;
5) Electrostatics ;
6) Electrodynamics ;
7) Acoustics;
8) Continuum Mechanics;
9) Environmental Engineering;
10) Air Pollution (Urban and Modeling);
11) Agro-Meteorology;
12) Nanotechnologies;
13) Optics;
14) Materials Science;
15) Semiconductors;
16) Superconductivity;
17) Ferromagnetism;
18) Composite Engineering;
19) Experimental Science for Heterogeneous Matter;
20) Optimization in Heterogeneous Media;
21) Biology Multiscale Applications;
22) Biotech many Fields;
23) Health Sciences.
In all these courses should be included and Taught the following topics and problems of Two-scale (at least) nature:
1) Conductivity, Diffusivity, Electrical Permittivity of the Two Scale Media with Globular Inclusions, for Spheres This Problem Have Been Solved Exactly. Lecturers Must Know or at Least be Able to Describe and Discuss How This Problem Was Solved, and What are Implications.
2) Conductivity, Diffusivity, Electrical Permittivity of the Two Scale Media with Straight Rods (Bars) Second Phase of Inclusions. For Morphologies with Dilute Random or Functionally Dependent Diameters This Problem Have Been Solved Exactly.
3) Conductivity, Diffusivity, Electrical Permittivity of the Two Scale Media with Two Phase Layered Morphology. For Morphologies with Linear Statements This Problem Have Been Solved Exactly.
4) Momentum transport, Conductivity, Diffusivity, Electrical Permittivity of the Two Scale Media with Straight Pores of the Second Phase. Flow regimes might be of three types (laminar, creeping, and turbulent), that other methods can not apprehend. For Morphologies with Dilute Random or Functionally Dependent Diameters these problems have been solved.
5) Momentum transport, Conductivity, Diffusivity, Electrical Permittivity of the Two Scale Media with Straight Slits of the Second Phase. Flow regimes might be of three types (laminar, creeping, and turbulent), that other methods can not apprehend.
6) Fundamentals of Experimental Science for Heterogeneous Media and Devices.
7) Few Two-scale problems in Wave Mechanics - as in Acoustics, Electrodynamics, Elasticity. Few of them have been solved also exactly on both scales.
There is the great need to introduce this teaching first of all in the areas (professions) of nanotechs, medicine and life sciences, biotechs, and energy related technologies.
Why "should be taught these problems" ?
Simply because these are the basic principal classical problems usually taught in any coursework set that necessary for disciplines in technical, biotech and physical sciences specialties and the only known today Scaled, Hierarchical problems solved completely on both scale spaces, as well as the only known experiences with experimental techniques developed for scaled, heterogeneous devices two-scale experiments.
The methods, "theories" of other nature taught in the Universities mostly are simply imitating the Multiscaling as a methodology, that's it. Professors just verbally combine the descriptions of different scale problems in physics, chemistry, biology and telling the students - That's it. Couple of coefficients and you've got it. They hardly know what are they talking about. In various pages of this and other our sites spread multiple examples of such "teaching".
We start explaining and talking on this in -
Even if lecturers, professors don't know how these solutions were obtained and What is the HSP-VAT at all. Nevertheless to be honest with students they need to tell to students that this is it. This kind of knowledge and solutions exist and this knowledge should be taught to students if Universities (or any other educational Institution) adhere to their policies of "state of the art" education.
This will be an advanced education for many fields Universities struggling to add the specialties for and stay in the markets.
We can estimate some of educational Institutions, Universities and give a researched summary on their abilities to teach or even to simply concern the subjects of Scaling, Multiscaling, etc. etc. content and advancements.
We paid extraordinary attention to lecturing in our courses on the few scaled problems that were solved even exactly some years ago, actually from 94-95. These two scale connected solutions, the solutions that explain hidden in textbooks incorrectness's and inconsistencies - are supposed to overturn the many physical disciplines lecture courses. The main features of these solutions and consequences are known since 1994-95. Through the years I also disseminated them to many professionals lecturing in the universities, and particularly in fields demanding already for many years the usage of words - "local," "nonlocal," "heterogeneous," "multiscale," "averaged," "two scale," etc.
The content of this course below is by no means follows the usual university traditional teaching of the multi-phase transport and processes in technologies and/or physics, and presenting them as they are like the one scale and GO theorem based disciplines.
On the other hand this course and others portrayed in this website are not quite similar to some courses with elements of linear and half-linear VAT taught in few US universities, because we had taken the basis for them as rendered with critical features and detail in
in Physics and Technologies
That is why the outcomes and much of teaching materials and results and problems, are different in many parts and instances.
Course Outline:
(might be of undergraduate level):
Instructor: Travkin, V.S.
http://travkin-hspt.com
Objectives of the Course:
The objective of this course is to provide the students with elements of transport of energy, mass and momentum in heterogeneous systems - based on hierarchical multiscale phenomena description theory (Hierarchical Scaled Physics Volume Averaging Theory - HSP-VAT). At present time the HSP-VAT is the only theory which suggests the correct physical and mathematical description and connection of processes on different scales of hierarchical media, materials, and/or fields.
Tentative outline:
First starting with the review of theories used for the description and problem statements in multiphase flow and heat and mass transport the course content will guide students through the basic physics and mathematics of collective phenomena. Among other major topics that will be covered are the heat transport in heterogeneous media such as composites, in addition to topics concerning experiments in heterogeneous media.
The basics of the multiscale field phenomenological and stochastic transport governing equations will be described and their application to thermal physics and fluid mechanics will be emphasized while comparing with known conventional problem formulations and mathematical statements. The pure analysis of classical problems of momentum and heat transport in heterogeneous media will be demonstrated with the hands on participation of students in various methodologies.
The major engineering issues of estimation of effective characteristics and coefficients will be emphasized in the course with applications in thermal science. Specific topics include effective conductivity coefficients, heat exchanger modeling methodologies and design, porous media fluid flow, permeability and flow regimes, experiments over composites and their data reduction.
Required Textbooks: none
Required Lecture Notes, Texts: few papers by Travkin, V.S. and
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).
Recommended Textbooks:
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).
Цели Курса:
Цель этого курса научить студентов элементам теории и практики транспортных процессов для переноса энергии, массы и количества движения в гетерогенных средах - базирующихся на теории описания иерархических, многомасштабных явлений (масштабной теории осреднения - МТО). В настоящее время это единственная теория которая предлагает правильное физическое и математическое описание и взаимосвязь процессов на разных масштабах для иерархии описаний явлений в материалах и полях.
Содержание Курса:
В начале курса будет освещено современное состояние и проблемы описания и математического формулирования многофазных задач при течении и тепло и массообмене. Таким образом класс будет подготовлен к восприятию идеи о двух (по крайней мере) масштабах описания для гетерогенных и иерархических сред. В ряду других основных областей физических явлений и процессов классу будет предложено двухмасштабное описание теплопроводности и диффузии в гетерогенных средах, композитах. Будут продемонстрированы методы постановки одномасштабных и двухмасштабных физических экспериментов для определения коэффициентов теплопроводности и электрической проводимости в композитах.
Основы многомасштабной полевой теории с феноменологическими и стохастическими модельными уравнениями представляется вместе с ее приложениями, особенно в диффузии, теплопроводности и механике жидкости и газа. Остальные физические области приложения этих фундаментальных понятий даются студентам в этом курсе кратко. Разрабатываются методики для сравнения и взаимодействия полевых уравнений и переменных для привычных одномасштабных моделей и двухмасштабных иерархических и гетерогенных физических проблем.
Точный анализ классических проблем для диффузии, теплопроводности и количества движения в гетерогенных и пористых средах будет демонстрироваться с максимальным участием студентов, с использованием текущих возможностей в классе и в лаборатории.
Основные технологические вопросы связанные с оценками эффективных характеристик и коэффициентов будут выявлены в курсе в приложении к диффузии, электростатике, теплофизике наноматериалов. Среди освещаемых тем будут разбираться проблемы эффективных коэффициентов диффузии и теплопроводности для нанокомпозитов, методологии моделирования и дизайна теплообменников для полупроводников, течение в пористых средах датчиков, экспериментальные методы в дизайне композитов, анализ экспериментальных данных проведенных с наноматериалами.
Среди проблем даваемых в курсе будет уделено особое внимание нелокальным двухмасштабным проблемам замыкаемым и решаемым в настоящее время точно. В том числе проблеме эффективных характеристик в одномерных многослойных структурах, течения жидкости в некоторых капиллярных морфологиях пористых сред.
Требуемые учебники: нет
Требуемые учебные материалы: некоторые статьи Травкина, В.С. and
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).
Рекомендуемые учебники:
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).