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2.20 Marine Hydrodynamics Fall 2014
Page 1 of 1
Problem Set 2b
Assigned: Tuesday 09/11/14 Due: Tuesday 09/16/14
Exercise 2.6:
Supplemental Problems (http://web.mit.edu/2.20/www/supp_notes.html):
Ba1, Ba6, Ba 21
Exercise 2.7: (Choose the correct answer(s) to finish the statement):
1. The first KKT is valid for:
All flow
Incompressible flow only
Any control volume
Material volume only
2. The second KKT is valid for:
All flow
Incompressible flow only
Any control volume
Material volume only
3. Are the Euler equations, which are written as j
ij
ii
xF
Dt
vD
][,
valid for compressible or incompressible flows? Are they valid for Newtonian fluids,
Non-Newtonian fluids, both, or neither? Argue your conclusions clearly?
2.20 Marine Hydrodynamics Fall 2014
Page 2 of 1
(**) Exercise 2.8:
In a certain incompressible flow, the velocity field is given by
{
( )
( )
( )
What is the value of constant ?
(**) Exercise 2.9:
The stress tensor in a flow is given by , where . There is a mall surface with
area . The unit normal (into the surface) of the surface is given by ̂ ( ) √ . What
is the force acting on this surface?
Note: the normal vector given here is pointing into the surface.