This preview shows page 1. Sign up to view the full content.
AAE 334, Fall 2011, Homework 31 Solution
On page 662, Anderson writes, “From Equation (8.33), we have
2
2
2
2
2
2
2
1
2
1
v
u
a
V
a
a
o
o
2
2
2
2
1
y
x
a
o
(11.13)”
Yet Equation (8.33) is from a onedimensional flow analysis and thus is used improperly in this twodimensional
formulation.
Equation (8.33) comes from Equation (8.28) which comes from Equation (7.44).
So, begin with
Equation (7.44) and find the threedimensional version of Equation (11.13) legitimately.
That is, without relying on
the onedimensional Equation (8.33).
Then simplify to the twodimensional form.
Equation 8.28 is valid for threedimensional flow, as the text states immediately after the
equation, “…where
V
1
and
V
2
are velocities at any two
points along a threedimensional
streamline.”
The language is a little loose here, one would perhaps be more correct to use
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 02/21/2012 for the course AAE 334 taught by Professor Collicott during the Fall '09 term at Purdue UniversityWest Lafayette.
 Fall '09
 COLLICOTT

Click to edit the document details