L-8: Similarity and Cordier
A relatively large number of parameters (not all independent, as has already been discussed)
can be derived via the procedure explained in L7.
The most improtant parameters for incompressible flow were derived in L7, as
Head Co

L2 -Basic Turbomachinery Energy Transactions
We worked out in L1, the following convenient forms of the basic laws of Thermodynamics:
First Law, Steady State,
2
2
d
d
V2
V1
+ g z2 mr1 h1 +
+ g z1
Q
Ws mr2 h2 +
2
2
dt
dt
L2-1
2nd Law, Steady State
s2 s1

ME 422 - Unit conversions
Given a variable in certain units, replace the unit by its equivalent in the new system. For instance,
for density:
= 2.205 lb
1000
3
= 3.281 ft
2.205
lb
1000
= 62.43
3
3
3
3.281
ft
Then
Mathcad converts units automaticall

L7a-A note on the Theorem
Introduction: Given a function
z F (x , y , v , w )
if one intended to find out F experimentally, he would have to test varying x,y,v and w over the
desired ranges and correlate them in order to formulate F. Particularly, if test

ME 422 L6 Ex_14_1_Pump efficiency estimates
(Refer to link in course website under Pump Efficiency methods)
Thermal method:
After testing, the tested pumpN8 at Anglian Water Woburn Sands) is shown to be capable of (BEP)
Q 200
Ha 78
T2 300.042
z2 350
z

15. Axial Turbines
All axial turbines have the same purpose, namely extracting power from a moving
stream at high pressure and temperature. These machines tend to have medium
specific speeds, in the ranges 0.3 to 2. Hence, they can negotiate relatively hi

L-7: DIMENSIONLESS PARAMETERS
Theorem: Given n variables and m dimensions, (n-m) independent
dimensionless groups can be formed.
When the variables pertain to the performance of a turbomachine, the
dimensionless groups are related via a function that is

ME 422 L7 b. Performance maps
In light of the similarity criteria outlined in L7, one could conclude that for turbomachines,
two general performance relationships hold. One is for incompressible fluids, and has the
form:
1 F (2)
7 b- 1
For compressible fl

L1-Introduction to Turbomachinery
1. An idea and some history:
The objective of turbomachinery is to add to or to extract energy from a flowing fluid.
If the wind is blowing, it is easy to realize that it exerts a net force on trees, houses, pieces of
pap

L6_Centrifugal pump
The basics
The following functions are present in a centrifugal pump: the flow is induced into the eye of
the impeller (r1) , its kinetic energy (and pressure) increase in the impeller itself, and then the
flow leaves the impeller at a

L-10- Centrifugal Compressors
Centrifugal compressors increase the pressure of a gas stream. The flow is induced into the rotor at
1 (eye) , and similar to a centrifugal pump, it exits at 2 (rotor tip). In a centrifugal compressor
(similar to a centrifuga