Selected Lecture Slides, CM4650
Easy-to-Print VersionsDr. F. A. Morrison
4 November 2007
These are EZ print files of the CM4650 lecture slides. Note that the lecture slides are constantly being updated and changed, so necessarily these printable versions represent only one version of the slides. The date that the file was prepared is indicated.
This files are provided as PDF files.
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Introduction |
The first day of class we watched this film: Rheological Behavior of Fluids. You may want to watch it a few more times throughout the semester. This film is one of 26+ films made by the National Committee for Fluid Mechanics Films. Although made in the 1950s and 1960s, these films are still terrific at showing fluid behavior. |
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Vector review |
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Tensor
definition |
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no class |
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Tensor
operations |
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Differential
operations |
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31 January 2005 |
Curvilinear coordinates |
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Derive continuity equation |
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Derive Momentum Balance |
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Derive stress tensor |
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Newtonian flow problems |
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no class |
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Shear and
elongational flows |
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Elongational
flows |
Rheology Lecture 14 |
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Measuring
stress in standard flows |
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Introduction
to material functions; steady, startup, cessation of shear |
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22 Feb 2005 |
Creep
material function |
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SAOS
material function; Steady elongational flow material functions |
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Steady shear
flow - instabilities, MW, branching |
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Steady shear
flow - material effects |
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SAOS |
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SAOS - time
temperature superposition |
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Experimental
data - large strain shear, elongational flow |
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What do we
put for the viscosity function? |
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Flow
problems GNF models |
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Limitations
of the GNF models |
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Constitutive
equations with memory - a simple model |
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Maxwell model |
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Predictions
of the Maxwell model |
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Generalized
Maxwell model |
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Fitting GLVE
to SAOS |
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Drag flow of
GLVE fluid |
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GLVE
Turntable example |
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Advanced
constitutive modelling - what is strain measure in GLVE? |
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Deformation
gradient tensor / Inverse deformation gradient tensor |
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Polar
decomposition applied to deformation / Lodge model |
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Lodge model
turntable example |
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Methods of
improving constitutive equations / Intro to molecular models |
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Green-Tobolsky
(skipped 2005) |
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Shear
rheometry |
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Shear
rheometry / Elongational rheometry |
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