PHYSICS OF CONTINUOUS
MATTER
TEXT: B.
Lautrup,
Continuum Physics, Exotic and everyday Phenomena in the Macroscopic World
All chapter and exercise numbers refer to this book.
Lecture 1 Tue, Aug 20 2002
Reading:
Title page
Contents
Constants
Preface
Chapter 1: Continuous matter - version 7.5
Chapter 2: Space and time - version 7.5
sections 2.1-2.3
(Optional reading: T. Bohr recommends G.I. Barenblatt: Scaling self-similarity ..., introductory chapters on dimensional analysis)
Lecture 2 Thu, Aug 22 2002
Problem set I: 2.1 - 2.9
Lecture 3 Tue, Aug 27 2002
Reading:
Chapter 2: Space and time
sections 2.4 - 2.6
Chapter 3: Gravity - version 7.5
sections 3.1 - 3.5
Lecture 4 Thu, Aug 29 2002
Problem set II: 2.10, 2.12, 2.17, 3.3, 3.5, 3.7
Answers to problem set I: Chapter 2
[note a typo - answer to 2.1c is (-24,-18,-17)]
Lecture 5 Tue, Sep 3 2002
Reading:
Chapter 4: Fluids at rest
sections 4.1 - 4.4
(Optional reading: T. Bohr says that
Prandtl & Tietjens, Fundamentals of Hydro- and Aeromechanics, is fun)
Chapter 5: Buoyancy
sections 5.1 - 5.3
Lecture 6 Thu, Sep 5 2002
Problem set III: 4.1, 4.2, 5.1, 5.5, 5.7
Answers to problem set II: Chapter 3
Lecture 7 Tue, Sep 10 2002
Reading:
Chapter 5: Buoyancy
section 5.4
Chapter 6: Planets and stars
sections 6.1 - 6.2
(skip Chapter 7: Hydrostatic shapes )
Lecture 8
Thu, Sep 12 2002
(thematically, end of the first 1/3 of the course)
Problem set IV: 5.6, 6.1, 6.2
(browny points: any of 6.4, 6.13)
Part of answers to problem set III: Chapters 4, 5,
Predrag's solution to5.5 - source.tex
Lecture 9 Tue, Sep 17 2002
Reading:
Chapter 8: Stress
sections 8.1 - 8.4
Lecture 10 Thu, Sept 19 2002
Problem set V: 8.1, 8.2, 8.8
(browny points: 8.3 - bunch of browny points, 8.5, 8.7)
Part of answers to problem set IV: Chapters 5, 6
Lecture 11 Tue, Sep 24 2002
Reading:
Chapter 9: Strain
sections 9.1 - 9.3
Lecture 12 Thu, Sept 26 2002
Problem set VI: 9.1, 9.2, 9.5, 9.6
(browny points: 9.4, 9.7)
Part of answers to problem set V: Chapter 8
Lecture 13 Tue, Oct 1 2002
Reading:
Chapter 10: Linear elasticity
sections 10.1 - 10.3
(skip Chapter 11: Solids at rest)
(skip Chapter 12: Numeric elastostatics )
Lecture 14
Tue, Oct 8 2002
Lecture 15
Thu, Oct 10 2002
Problem set VIII: 13.1, 13.2, 13.3 - due Oct 17
Part of answers to problem set VII: Chapter 10
Midterm recess:
to Tue, Oct 15 2002
Lecture 16 Thu, Oct 17 2002
Problem set IX: 14.2, 14.3, 14.4
Lecture 17 Tue, Oct 22 2002
Lecture 18 Thu, Oct 24 2002
Reading:
Chapter 15: Nearly ideal flow
sections 15.1 - 15.6
Problem set X: 14.5, 14.8, 15.1, 15.4 (browny points: 14.9, 15.3)
Lecture 19 Tue, Oct 29 2002
Reading:
Chapter 16: Material transport
sections 16. - 16.8
Chapter 17: Viscosity
(Optional reading: L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959) summarize it all in equations (15.21), (15.22), though with several typos)
sections 17.1, 17.4, 17.4
Lecture 20 Thu, Oct 31 2002
Problem set XI - tex - fig , and exercises 17.1 (browny point: 17.5)
Lecture 21 Tue, Nov 5 2002
Reading:
Chapter 18: Plates and tubes
sections 18.1 - 18.7
Lecture 22 Thu, Nov 7. 2002
Guest Lecturer: Laurette Tuckerman:
All that is known about channel and pipe flows - lecture notes
References:
Incompressible Flow, by Ronald L. Panton
Turbulence and Transition Modelling: Lecture Notes by M. Hallback, D.S. Henningson and A. V. Johansson, eds.
Problem set XII: 18.1, 18.9 (browny points: 18.3, 18.8)
Lecture 23 Tue, Nov 12 2002
Reading:
Chapter 24: Boundary layers - version 7.5
section 24.1 (up to "Merging boundary layers"),24.2
Chapter 22: Creeping flow
(skip Chapter 23: Lubrication )
(skip Chapter 25: Rotating fluids - version 7.5 )
(skip Chapter 26: Aerodynamics )
Lecture 24 Thu, Nov 14 2002
Problem set XIII: 24.2, 22.5 (browny points: 22.4)
Lecture 25 Tue, Nov 19 2002
Reading:
Web Links: Linear stability
Lecture 26 Thu, Nov 21 2002
Reading:
Web Links: Faraday waves
Lecture 27 Tue, Nov 26 2002
Reading:
Web Links: Faraday waves
Partial answers to all problem sets
Thanksgiving: starts Thu, Nov 28 2002
Lecture 28 Tue, Dec 3 2002
Multimedia show:
Very well thought through: Multi-Media Fluid Mechanics CD-ROM,
G. M. Homsy, H. Aref, K. S. Breuer, S. Hochgreb, J. R. Koseff, B. R. Munson
Several cute videos: Fundamentals of Fluid Mechanics,
Bruce R. Munson, Donald F. Young, Theodore H. Okiishi
Lecture 29 Thu, Dec 5 2002
The last lecture: Review of the course: elasticity vs fluids
Rest of the schedule is
Final exam
Thu, Dec 12 8:00-10:50
in Howey N209
(Closed book, on material covered in lectures starting with chapter 8)
Predrag Cvitanovic',
predrag.cvitanovic@physics.gatech.edu