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EGN 6812  Fluid Mechanics I – Fall 2003
10/23/03, Mid Term Exam
Name: ________________
1/11
Questions: (40 points total, 4 points each)
1.
( )
ij
j
x
i
u
τ
∂
∂
is the surface work term due to viscous forces in the energy equation.
Mathematically decompose this term into components that increase/decrease kinetic and
internal energy.
Clearly label your terms and explain your answer in terms of forces,
velocities, and deformations.
2.
Provide a physical explanation of Stokes’ hypothesis (
i.e.,
not an equation) and describe
when it is and is not valid.
3.
From a molecular force perspective, what is the fundamental difference between a liquid and
a gas?
4.
Explain the difference between a Lagrangian and a Eulerian method of description.
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View Full DocumentEGN 6812  Fluid Mechanics I – Fall 2003
10/23/03, Mid Term Exam
Name: ________________
2/11
Questions continued: (40 points total, 4 points each)
5.
Using scaling analysis mathematically show the physical meaning of the Reynolds number
based on typical terms in the Navier Stokes Equations for incompressible flow and constant
viscosity.
6.
At a planar air/water interface, what are the appropriate boundary conditions for the
continuity and momentum equations for incompressible flow?
What approximation can be
made.
7.
The coefficient of viscosity is strictly a function of pressure and temperature.
What is the
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 Fall '09
 RENWEIMEI
 Fluid Mechanics, Aerodynamics

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