Selected Lecture Slides, CM4650
EasytoPrint VersionsDr. F. A. Morrison
4 November 2007
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topic 


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. 

Vector review 


Tensor
definition 


no class 


Tensor
operations 


Differential
operations 

31 January 2005 
Curvilinear coordinates 


Derive continuity equation 


Derive Momentum Balance 


Derive stress tensor 


Newtonian flow problems 


no class 


Shear and
elongational flows 


Elongational
flows 
Rheology Lecture 14 

Measuring
stress in standard flows 


Introduction
to material functions; steady, startup, cessation of shear 

22 Feb 2005 
Creep
material function 


SAOS
material function; Steady elongational flow material functions 


Steady shear
flow  instabilities, MW, branching 


Steady shear
flow  material effects 


SAOS 


SAOS  time
temperature superposition 


Experimental
data  large strain shear, elongational flow 


What do we
put for the viscosity function? 


Flow
problems GNF models 


Limitations
of the GNF models 


Constitutive
equations with memory  a simple model 


Maxwell model 


Predictions
of the Maxwell model 


Generalized
Maxwell model 


Fitting GLVE
to SAOS 


Drag flow of
GLVE fluid 


GLVE
Turntable example 


Advanced
constitutive modelling  what is strain measure in GLVE? 


Deformation
gradient tensor / Inverse deformation gradient tensor 


Polar
decomposition applied to deformation / Lodge model 


Lodge model
turntable example 


Methods of
improving constitutive equations / Intro to molecular models 


GreenTobolsky
(skipped 2005) 


Shear
rheometry 


Shear
rheometry / Elongational rheometry 

