A method based on the medial axis transform (MAT) theory is presented to explore the laws of meridional profiles versus specific speeds for centrifugal pumps. Through extracting each pump’s MAT and transforming to two newly introduced variables, striking features emerge. Based on these features, statistics are carried out on the two variables versus specific speeds. A series of pumps is used to verify this method. According to the laws gained from the statistical results, the meridional profile at any specific speed within this series of pumps can be directly drawn through calculations.

Issue Section:
Technical Briefs
Keywords:
meridional profile, MAT, statistics, pump, whole
Topics:
Centrifugal pumps, Pumps, Statistics, Design, Disks

References

1.
Stepanoff
,
A. J.
,
Centrifugal and Axial Flow Pumps: Theory, Design, and Application
(
Krieger Publishing Company
,
New York
, 1957), Chap. 5.
2.
Cordier
,
O.
, 1955, “
Ähnlichkeitsbedingungen für Strömungsmaschinen
,”
VDI-Berichte
,
3
, pp.
85
–
88
.
3.
Epple Ph, Durst
,
F.
 and
Delgado
,
A.
, 2011, “
A Theoretical Derivation of the Cordier Diagram for Turbomachines
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
225
(
C2
), pp.
354
–
368
.
4.
Toffolo
,
A.
,
Lazzaretto
,
A.
, and
Martegani
,
A. D.
, 2004, “
Cross-flow Fan Design Guidelines for Multi-Objective Performance Optimization
,”
Proc. Inst. Mech. Eng., Part A
,
218
(
A1
), pp.
33
–
42
.
5.
Blum
,
H.
, “
A Transformation for Extracting New Descriptors of Shape
,”
Models for the Perception of Speech and Visual Form
(
MIT
,
Cambridge, MA
, 1967), pp.
362
–
380
.
6.
Blum
,
H.
, and
Nagel
,
R. N.
, 1978, “
Shape Description Using Weighted Symmetric Axis Features
,”
Pattern Recogn.
,
10
, pp.
167
–
180
.
Crossref
Search ADS
 
7.
Srinivasan
,
V.
Nackman
,
L. R.
Tang
,
J. M.
 and
Meshkat
,
S. N.
, 1990, “Automatic Mesh Generation Using the Symmetric Axis Transform of Polygonal Domains,” IBM Research Report No. RC71695, IBM Thomas J. Watson Research Center.
8.
Persson
,
H.
, 1978, “
NC Machining of Arbitrarily Shaped Pockets
,”
Computer-Aided Des.
10
, pp.
169
–
174
.
Crossref
Search ADS
 
9.
Wang
,
P.
Ruan
,
X.
Zou
,
J.
 and
Fu
,
X.
, 2011, “
Medial Axis Transform Method for Shape Design of Hub and Shroud Contours of Impellers
,”
ASME Trans. J. Fluids Eng.
,
133
(
3
), p.
034502
.
Crossref
Search ADS
 
10.
Guan
,
X.
,
Handbook of Modern Pump Design
(
China Astronautic Publishing House
,
Beijing
, 1995), pp.
755
–
783
.
11.
Choi
,
H. I.
Choi
,
S. W.
 and
Moon
,
H. P.
, 1997, “
Mathematical Theory of Medial Axis Transform
,”
Pac. J. Math.
,
181
(
1
), pp.
57
–
88
.
Crossref
Search ADS
 
12.
Yap
,
C. K.
 1987, “
An O(n log n) Algorithm for the Voronol Diagram of a Set of Simple Curve Segments
,”
Discrete Comput. Geom.
2
(
4
), pp.
365
–
394
.
Crossref
Search ADS
 
Copyright © 2012
 by American Society of Mechanical Engineers
You do not currently have access to this content.