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2.016 Hydrodynamics
Fall 2005
Prof. A. Techet
Out: November 29, 2005
Due: December 6, 2005
1) Consider the following control volume around a propeller where we have defined a
slipstream boundary, such that the streamline that separates the flow going through the
propeller from the free stream is taken to be the CV boundary. Assume that the flow is
essentially one dimensional and is parallel in the streamwise direction at the inlet and
outlet; also that the pressure along the slipstream boundary is equal to the ambient
pressure.
P
∞
P
∞
a)
Determine the thrust,
T
, and velocity of the flow across the propeller, V, in
terms of the inlet and outlet speeds,
V
i
and
V
e
,
and the area of the propeller,
A,
and the fluid density,
ρ
.
b)
Determine the power required to drive the propeller to generate the above
thrust.
c)
Show that efficiency of the propeller is equal to the ratio of the inlet velocity
to the velocity across the propeller.
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.016 taught by Professor Alexandratechet during the Fall '05 term at MIT.
 Fall '05
 AlexandraTechet

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