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Turbulent Flow and Transport
1
Review of Fundamental Laws and Constitutive
Equations
1.1
Fundamental laws governing continuum flow, expressed in terms of (i) material
volumes (closed systems) and (ii) control volumes.
1.2
Mass conservation equation; integral and differential forms.
1.3
The equation of motion in terms of the stress tensor. Integral and differential
forms. Stress tensor for a Newtonian fluid. The NavierStokes equation.
1.4
The energy equation (First Law) in integral and differential forms. The equations
for the kinetic, potential, and internal energies. Physical significance of the
various terms. The viscous dissipation function.
1.5
The Second Law of thermodynamics.
1.6
The equation for entropy production (Gibbs’ equation). The Second Law as a
statement that the viscous dissipation function is greater than or equal to zero.
1.7
The thermodynamic equations of
state: differential expressions for all the
thermodynamic properties of a fluid in terms of three measurable properties
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 Spring '11
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