FalknerSkan Wedge Flows
Author: John M. Cimbala, Penn State University
Latest revision: 11 December 2007
1. Introduction
•
In class we found a similarity solution for the laminar flat plate boundary layer, where the potential outer flow
was simply
U
(
x
) =
U
= constant.
It turns out that a similarity solution can be found for some much more
general
boundary layer problems, even when
U
(
x
) is not constant.
Consider steady, incompressible, twodimensional,
laminar boundary layer flow over some body where the potential outer
flow
U
(
x
) is
known
.
•
In particular, consider 2D wedge flows, where
U
(
x
) follows a power
law:
()
m
Ux B
x
=
where
B
and
m
are constants. The relationship between
exponent
m
and the wedge angle
γ
was found previously from potential flow theory.
x
U
(
x
)
2. Similarity Solution
•
We expect a similarity solution since there is
no length scale in the problem
; how big or small the observer is
does not matter.
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This note was uploaded on 07/23/2008 for the course ME 521 taught by Professor Cimbala during the Fall '07 term at Penn State.
 Fall '07
 CIMBALA

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