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Section
1: The Continuum Viewpoint and the Equation of Motion |
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1.1 |
On
the molecular origin of fluid behavior and its analytical difficulties. |
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1.2 |
The
continuum viewpoint and the concept of properties as fields; Eulerian vs
Lagrangian methods of description. The importance of reference frame in
the Eulerian description; steady and unsteady flows. |
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1.3 |
Material
particles, material volumes, and control volumes. The physical laws that
govern the behavior of continua, expressed in terms of material volumes. |
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1.4 |
Forces
acting on a continuum: body forces and surface forces. |
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1.5 |
Rheological
properties of materials; elastic solids, Newtonian fluids and viscosity,
non-Newtonian fluids, viscoelastic fluids. The defining attribute of a "fluid." |
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1.6 |
Pascal's
principles and the concept of pressure in a static (or otherwise shear-free)
fluid. |
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1.7 |
Thermal
equation of state for fluids of constant composition (the equilibrium density-pressure-temperature
relation). |
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1.8 |
Net
surface force on a fluid particle in a pressure field. |
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1.9 |
Acceleration
of a fluid particle expressed in terms of the (Eulerian) velocity field:
the material (or substantial, or total) time derivative. The rate of change
of with time of a fluid property seen by an observer moving through a continuum
at an arbitrary velocity. |
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1.10 |
The equation
of motion of a fluid in differential form. |
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Reading
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Fay, Chapter
1, Chapter 2: pages 44-75, Chapter 3: pages 89-97, Chapter 4: pages 128-132 |
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Problem Set Chapter - 1
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Handout: Special
Problem 1.1 on sounding rocket |
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