Problem Set 3
ECH 253A
due Friday 10/25/13
1. Deen Ch. 7-2
Hint: Solve the Cauchy stress eqs. (Table 6-1 in Deen, second edition) to obtain xy(y), if y is the
direction normal to the wall and x the direction of flow. Identify the point where xy is greates

Problem Set 2
ECH 253A
due Friday 10/18/13
1. The (constant) angular velocity w of a solid body in rotation is related to its linear velocity v
by the relation
v= w r ,
where r denotes a position inside the body. In fluid mechanics, the vorticity = v is
o

Problem Set 4
ECH 253A
due Friday 11/1/13
1. Deen 7-10
2. A Couette viscometer is a device for measuring the rheological properties of fluids, including the
viscosity. The outer cylinder rotates, the inner cylinder is held fixed, and the viscosity is obta

Problem Set 1
ECH 253A
due Wednesday 10/9/13
1. Using index notation, verify the following identities:
a) ( a b ) = a b b a
b) A : B = 0 if A is symmetric and B is antisymmetric
c) = 0
d) ( a ) = 0
2. We wish to evaluate the divergence of the velocity in

ECH 253A
Rearrangement of Line Integral
The geometry of the problem is arranged so that
t=t n
(1)
where n is the normal vector to the surface, and t is normal to the contour
surrounding the patch of the surface over which a force balance is being done.
Th

Problem Set 5
ECH 253A
due Thursday 11/14
1. Using the Stokeslet velocity field, show that the dimensionless drag force on a particle in a
uniform flow is given by
F = 4 C1 e z .
To do this, you first need to find the pressure distribution by partial inte

From. quasar:
3 Rheaon
C3 Projection of a Plant: 469
C3 Projection of a Plane JD MON" r50
We seek to calculate the projection of an area (IS in the direction a? [239]. We will analyze
this problem in a Cartesian coordinate system such that