CHEE 3363Fluid Mechanics
Assignment 8
Pro 5.42
The
?
component of velocity in a twodimensional, incompressible flow field is given by
?
=
−𝐴??
, where
?
is in
? ?
,
?
and
?
are in meters, and
𝐴
is a dimensional constant. There is
no velocity component or variation in the
?
direction. Determine the dimensions of the constant,
𝐴
. Find the simplest
?
component of velocity in this flow field. Calculate the acceleration of a
fluid particle at point
?
,
?
= (1,2)
.
Pro 8.16
In section 82 we derived the velocity profile between parallel plates (Eq. 8.5) by using a
differential control volume. Instead, following the procedure we used in Example 5.9, derive Eq.
8.5 by starting with the NavierStokes equations (Eqs. 5.27). Be sure to state all assumptions.
Pro 8.17
(neglect inertia/acceleration terms)
Viscous liquid, at volume flow rate
?
, is pumped through the central opening into the narrow
gap between the parallel disks shown. The flow rate is low, so the flow is laminar, and the
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 Spring '11
 Sarkozi
 Fluid Dynamics, Fluid Mechanics, Velocity, Pressure gradient

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