Homepage of Niels P. Kruyt
Address
Department of Mechanical Engineering 
University of Twente
P.O. Box 217
7500 AE Enschede
The Netherlands
Tel: +31-53-489 2528
Fax: +31-53-489 3695
E-mail: n.p.kruyt AT utwente.nl
Research interests
- centrifugal and mixed-flow pumps
- axial pumps
- inverse-design methods
- optimization methods
- constitutive modelling
- micromechanics
- discrete element method; distinct element method
- vibratory conveyors
- mixing in rotary kilns
Introduction
Turbomachines, and centrifugal pumps in particular, are of major importance
to contemporary society. Everyone deals with them directly or indirectly in
one's daily life. Examples are pumps for boiler units, drinking water supply,
energy generating plants and process industry. Centrifugal pumps have been in
use for many years. Therefore, the innocent reader could assume that further
research is no longer required in this field, under the slogan “everything has
been investigated and solved before”. However, this is not correct. Developments
are still continuing rapidly, for example to smaller dimensions, higher speeds
and efficiencies and new areas of application.
These developments are stimulated by improved manufacturing and computer
simulation techniques. A technique like CAD-CAM makes it possible to
manufacture a new design quickly and economically. By simulating the flow in
centrifugal pumps, the designer can optimize these using computers instead of
through actual tests. This approach is widely accepted in aircraft design (“computer
wind tunnel”). In contrast, new centrifugal pumps are usually developed as
modifications to existing designs by a trial-and-error method, which is
time-consuming and expensive. The new approach based on flow simulations is
especially suitable for designing engineered centrifugal pumps that must meet
specific customer specifications. Then it is frequently necessary to deviate
from existing types of centrifugal pumps: new concepts need to be developed.
Objective
The objective of the research at the Turbomachinery Laboratory of the
Department of Mechanical Engineering at the University of Twente
in the Netherlands is to contribute to the scientific knowledge of the relevant
flow phenomena in centrifugal pumps. In addition, an objective is to make this
knowledge available to the pump designer, amongst others by developing tools
for simulating time-dependent, three-dimensional flows in centrifugal pumps.
Such a tool will only be accepted in a design environment when the results are
accurate and are obtained quickly.
Approach
The approach of the research consist of a combination of
- experiments for increasing the understanding of the important flow phenomena
- flow modelling for obtaining the governing equations
- numerical simulations for computing the flow
Difficulties that arise in this approach are (1) complex equations, (2) geometries and
(3) unsteady flows.
Complex equations
The approach is based on the fundamental conservation laws of physics. Based
on an asymptotic analysis the equations for the main flow can be simplified.
This main flow is inviscid, irrotational and incompressible. This means that
the main flow is an unsteady potential flow. Viscous effects are only important
in boundary layers along walls and in wakes behind the impeller blades. These
assumptions are valid around the best efficiency point.
Complex geometries
The geometries are very complex, due to their three-dimensional
doubly-curved shape of the impeller blades (and sometimes diffuser blades). The
volute also has a complicated shape.
Unsteady flows
The rotation of the impeller with respect to the volute causes the flow to
be unsteady, especially at off-design conditions of the pump. Usually the flow
in both parts is considered separately. This simplifies the problem, but it is
becoming clear that a correct description of the interaction between impeller
and volute is very important.
Current research projects that are described here deal with:
- experimental investigations
- cavitation analyses
- impeller-volute interaction
Experiments
For measuring velocities and pressures in impeller channels and volutes a
test-rig is available in the Turbomachinery Laboratory. With this test-rig it
is possible to directly measure the relative velocity in the impeller channels,
since the equipment rotates with the impeller. Velocities are measured using
“Laser Doppler Velocimetry” (LDV). Using two laser beams the two components of
the velocity are measured that are in the plane perpendicular to the laser
beams. The relative flow field in a number of two-dimensional impellers has
been determined. These showed that the flow field is accurately described by
the potential flow model. Currently, the test-rig is being adapted to
three-dimensional measurements. This is especially important for mixed-flow
impellers. To this end, an impeller has been manufactured from plexi-glass. The
principle of the modified test-rig is that by measuring two components of the
velocity in two different planes, the three-dimensional velocity field is obtained.
Numerical simulations
For reasons of efficiency and computing times a completely new system has
been developed for simulating numerically the flow in impeller-volute
configurations. The system is called COMPASS, an acronym for Centrifugal
Or Mixed-flow Pump Analysis System. It is based on the finite-element method
with substructuring and implicit Kutta conditions as special features. With
this system unsteady potential flows in impeller and volute are computed. Thus
the interaction between impeller and volute is properly accounted for. To this
end the computational domain is divided into blocks with a cubical topology.
Blocks in impeller and volute are separated by a conical surface along which
the impeller blocks slide. In this way the rotation of the impeller is
simulated.
The system is easy to use, since the geometry of impeller and volute are
described parametrically. The mesh generation is also automated. Finally, the
post-processing of velocity and pressure field is integrated into the system.
An example of such a visualization of the pressure on the impeller blades is
shown below.
An important quantity to the designer of a pump is its efficiency under
various operating conditions. In order to predict the efficiency the viscous
losses need to be quantified. An inviscid model can not directly give these.
Yet it is possible to estimate the various sources of loss, based on the
inviscid core velocities in the pump. To this end, viscous loss models were
adapted from the literature.
Impeller-volute interaction
Here some results are shown of the simulations in an industrial mixed-flow
pump of Flowserve in Hengelo.
These simulations were performed with COMPASS. The employed mesh is
shown above; the comparison of the computed head and efficiency with measured
values is shown below.
Note that to obtain these performance curves, unsteady computations
were performed, and the results were subsequently averaged over time.
Cavitation analyses
An important flow phenomenon in pumps is cavitation. Herewith the inception
of bubbles is meant, that arise when the local pressure drops below the vapour
pressure of the liquid being pumped. This drop in static pressure is caused by
the acceleration of the fluid around the impeller nose. Downstream in the
impeller these bubbles cavitation implode as a result of the higher pressure.
This can cause damage to the blades, the so-called cavitation erosion, which
reduces their life expectancy. Furthermore, these implosions increase the noise
level. Cavitation performance is usually expressed in an NPSH-Q
graph. NPSH is Net Positive Suction Head, the stagnation pressure at
the inlet necessary such that no cavitation occurs and Q is the flow
rate. When the actual inlet pressure and the NPSH-characteristics are
known, the operating range and the life expectation can be predicted. A
centrifugal pump should be designed so that over the complete operating range
the NPSH value does not exceed the available inlet stagnation
pressure.
Current research deals with the prediction of cavitation inception on the
basis of completely three-dimensional potential flow computations with COMPASS.
This is the correct approach, contrary to commonly used quasi three-dimensional
models that require empirical coefficients. This research is funded by
Flowserve Hengelo and NOVEM. The figure below shows the result of such a
computation for a mixed-flow impeller. In addition measured NPSH-inception
values are shown. Both visual and acoustic measurements were made. It is clear
that over a wide range the cavitation inception characteristics are correctly
predicted.
This opened the way for parametric optimization studies in which the shape
of the nose profile is modified. An example is shown below, demonstrating the
advantageous effect of an asymmetrical profile.
Currently, the cavitation model is being extended in order to compute, for inlet
pressures below inception values, the shape of the cavitation sheet..
Outlook
During the past few years major advances have been made in predicting the
hydraulic performance of pumps. Especially complete impeller-volute
configurations can now be analysed, contrary to other research groups that only
study components of pumps with their viscous computations. Therefore industry
shows increasing interest in the hydraulic analysis system COMPASS.
This system will be further improved by refining the hydraulic models. In first
instance the models for leakage flow, disc friction, mixing losses and
three-dimensional boundary layers will be considered. Additional experimental
work will be done on the velocity and pressure fields in mixed-flow pumps. COMPASS
will also be used in optimization studies of efficiency, cavitation etc.
A permanent factor in this research is the close cooperation with industry.
The importance of this cooperation lies in the coordination of the direction of
the research and in the transfer of the developed technological knowledge to
companies.
Inverse-design and optimisation methods
Currently, advanced design methods are being developed that are based on
inverse-design and optimization methods.
In inverse-design methods, the duty of the impeller is specified in terms of
flowrate, angular velocity, head, some "blade loading" and meridional
geometry. From these, the blade geometry is computed; the blade curvature is
thus the result.
The inverse-design methods and the optimisation methods are described in
detail in the Ph.D. thesis of Remko Westra.
CFD for pump design: a tutorial
Tutorial presented at the 5th International Symposium on Pumping
Machinery, 2005 ASME Fluids Engineering Division Summer Meeting and Exhibition,
19-23 June, Houston, USA. [pps]
(9.5 MB)
Industrial cooperation
- Flowserve (Hengelo, the
Netherlands)
- IHC (Kinderdijk, the Netherlands)
- Johnson Pump (Assen, the Netherlands)
- Urenco (Almelo, the
Netherlands)
- Philips Domestic & Appliance Products (Drachten, the
Netherlands)
- Ballast Nedam Dredging (Zeist, the
Netherlands)
- Boskalis (Papendrecht, the Netherlands)
- De
Groot Nijkerk (Nijkerk, the Netherlands)
- Howden (Hengelo, the
Netherlands)
- Tessellations and granular materials
(Contribution to Subdivide and Tile: Triangulating spaces for
understanding the world,
Leiden,
the Netherlands, November 2009).
- Strength, dilatancy, energy and dissipation in quasi-static deformation of
granular materials
(Contribution to Powders & Grains 2005,
Stuttgart,
Germany, July 2005).
- Statistics of
forces and relative displacements at contacts in biaxial deformation of
granular materials
(Contribution to Workshop on Quasi-static Deformations of Particulate
Materials,
Budapest,
Hungary, August 2003).
- Slow flows of
granular materials
(Contribution to J.M. Burgers Centre Course on
Granular Materials,
Enschede, the Netherlands, February 2003).
- Kinematic and static
assumptions for homogenization in micromechanics of granular materials
(Presentation at ASME/ASCE Mechanics and Materials Conference: Current
Developments in Micromechanics of Random Heterogeneous Materials and Bodies,
San Diego, USA, June 2001).
- Micromechanics of
flowing granular materials
(Presentation at FOM 2000 Meeting, Veldhoven, the Netherlands,
October 2000).
- Micromechanics of the
elastic behaviour of granular materials
(Presentation at Continuous and Discontinuous Modelling of Cohesive
Frictional Materials,
Stuttgart,
Germany, April
2000).
- Micromechanical definition of the strain tensor for granular materials:
a Matlab implementation
Scientific papers
- Westra, R.W. & Broersma, L. & van Andel, K. & Kruyt, N.P. (2010)
PIV measurements and CFD computations of secondary flow in a centrifugal
pump impeller
Journal of Fluids Engineering (Transactions of the ASME) 132
061104.
- Durán, O. & Kruyt, N.P. & Luding, S. (2010)
Micro-mechanical analysis of deformation characteristics of three-dimensional
granular materials
International Journal of Solids and Structures 47 2234-2245.
- Kruyt, N.P. (2010)
Three-dimensional lattice-based dispersion relations for granular materials
IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of
Granular Flows, AIP Conference Proceedings Vol.1227, pp.405-415, eds.
J.D. Goddard & J.T. Jenkins & P. Giovine.
- Durán, O. & Kruyt, N.P. & Luding, S. (2010)
Analysis of three-dimensional micro-mechanical strain formulations for
granular materials: evaluation of accuracy
International Journal of Solids and Structures 47
251-260.
- Kruyt, N.P. (2009)
Micromechanical study of elastic behaviour of granular materials
Particles 2009, pp. 183-186, eds. E. Onate & D.R.J. Owen,
Barcelona, Spain.
- Kruyt, N.P. (2009)
Force fluctuations in quasi-static deformation of granular materials:
deviations from mean-field behaviour
7th European Solid Mechanics Conference, pp.201-202, eds.
J. Ambrosio & M.T. Silva, Lisbon, Portugal.
- Westra, R.W. & Broersma, L. & van Andel, K. & Kruyt, N.P. (2009)
Secondary flows in centrifugal pump impellers: PIV measurements and CFD
computations
2009 ASME 6th International Symposium on Pumping Machinery,
Paper FEDSM2009-78275, Vail, CO, USA.
- Kruyt, N.P. & Rothenburg, L. (2009)
Plasticity of granular materials: a structural-mechanics view
Powders & Grains 2009, AIP Conference Proceedings Vol.1145,
pp.1073-1076, eds. M. Nakagawa & S. Luding.
- Antony, S.J. & Kruyt, N.P. (2009)
Role of interparticle friction and particle-scale elasticity on shear-strength mechanism in three-dimensional granular media
Physical Review E 79 031308.
- Rothenburg, L. & Kruyt, N.P. (2009)
Micromechanical definition of an entropy for quasi-static deformation of
granular materials
Journal of the Mechanics and Physics of Solids
57 634-655.
- Westra, R.W. & Kruyt, N.P. & Andel, K. van & Hoeijmakers,
H.W.M. (2008)
An optimization method for centrifugal pump impellers
The 12th International Symposium on Transport Phenomena and Dynamics of
Rotating Machinery, Honolulu, Hawaii, Paper ISROMAC12-2008-20147.
- Agnolin, I. & Kruyt, N.P. (2008)
On the elastic moduli of two-dimensional assemblies of disks: relevance and
modeling of fluctuations in particle displacements and rotations
Computers and Mathematics with Applications
55 245-256.
- Kruyt, N.P. (2007)
On the shear modulus of two-dimensional liquid foams: a theoretical study of
the effect of geometrical disorder
Journal of Applied Mechanics (Transactions of the ASME)
74
560-567.
- Kruyt, N.P. & Antony, S.J. (2007)
On force, relative-displacement and work networks in granular materials
subjected to quasi-static deformation
Physical Review E 75 051308.
- Roos, P.C. & Wemmenhove, R. & Hulscher, S.J.M.H. &
Hoeijmakers, H.W.M. & Kruyt, N.P. (2007)
Modelling the effect of nonuniform sediment on the dynamics of offshore
tidal sandbanks
Journal of Geophysical Research 112 F02011.
- Kruyt, N.P. & Rothenburg, L. (2006)
Shear strength, dilatancy, energy and dissipation in quasi-static
deformation of granular materials
Journal of Statistical Mechanics: Theory and Experiment
P07021.
- Westra, R.W. & Kruyt, N.P. & Hoeijmakers, H.W.M. (2005)
An inverse-design method for centrifugal pump impellers
2005 ASME 5th International Symposium on Pumping Machinery, Paper
FEDSM2005-77283, Houston, TX, USA.
- Kruyt, N.P. & Rothenburg, L. (2005)
Strength, dilatancy, energy and dissipation in quasi-static deformation of
granular materials
Powders & Grains 2005, pp.251-255, eds. R. Garcia-Rojo & H.J.
Herrmann & S. McNamara, Balkema, Leiden, the Netherlands.
- Finnie, G.F. & Kruyt, N.P. & Ye, M. & Zeilstra, C. &
Kuipers, J.A.M (2005)
Longitudinal and transverse mixing in rotary kilns: a Discrete Element
Method approach
Chemical Engineering Science 60 4083-4091.
- Kruyt, N.P. & Rothenburg, L. (2004)
Micromechanical study of macroscopic friction and dissipation in idealised
granular materials: the effect of interparticle friction
21st International Conference on Theoretical and Applied
Mechanics 2004, Warsaw, Poland.
- Kruyt, N.P. & Rothenburg, L. (2004)
Kinematic and static assumptions for homogenization in micromechanics of
granular materials
Mechanics of Materials 36 1157-1173.
- Kruyt, N.P. & Rothenburg, L. (2004)
On the microscopic origin of the macroscopic frictional behaviour of
granular materials
17th ASCE Engineering Mechanics Division Conference,
Paper 55, eds. V. Kaliakin & J.T. Kirby & B. Bhattacharya & J.A.
Yamamuro & H.W. Shenton, Newark, DE, USA.
- Rothenburg, L. & Kruyt, N.P. (2004)
Critical state and evolution of coordination number in simulated granular
materials
International Journal of Solids and Structures 41 5763-5774
- Rothenburg, L. & Kruyt, N.P. (2003)
Micromechanical study of critical state in granular materials
Quasi-static Deformations of Particulate Materials,
pp.203-212, ed. K. Bagi, Publishing Company of Budapest University of
Technology and Economics, Budapest, Hungary.
- Kruyt, N.P. & Rothenburg, L. (2003)
Statistics of forces and relative displacements at contacts in biaxial
deformation of granular materials
Quasi-static Deformations of Particulate Materials,
pp.141-150, ed. K. Bagi, Publishing Company of Budapest University of
Technology and Economics, Budapest, Hungary.
- Dekker, M.A. & Kruyt, N.P. & Burger, M. den & Vlasblom, W.J.
(2003)
Experimental and numerical investigation of cutter-head dredging-flows
Journal of Waterway, Port, Coastal, and Ocean Engineering (Transactions
of the ASCE) 129 203-209.
- Kruyt, N.P. (2003)
Contact forces in anisotropic frictional granular materials
International Journal of Solids and Structures 40 3537-3556.
- Kruyt, N.P. (2003)
Statics and kinematics of discrete Cosserat-type granular materials
International Journal of Solids and Structures 40 511-534.
- Kruyt, N.P. & Rothenburg, L. (2002)
Maximum entropy methods in the mechanics of quasi-static deformation of
granular materials
Proceedings International Mechanical Engineering Congress &
Exhibition 2002, IMECE02-32494, ASME, New Orleans, LA, USA.
- Kruyt, N.P. & Rothenburg, L. (2002)
Probability density functions of contact forces for cohesionless frictional
granular materials
International Journal of Solids and Structures
39 571-583.
- Kruyt, N.P. & Rothenburg, L. (2002)
Micromechanical bounds for the elastic moduli of granular materials
International Journal of Solids and Structures 39 311-324.
- Rothenburg, L. & Kruyt, N.P. (2001)
Rock strength and mining applications: a micromechanics view
Proceedings
International Conference on Civil Engineering 2001,
pp.67-80, Interline Publishing, Bangalore, India.
- Esch, B.P.M. van & Kruyt, N.P. (2001)
Hydraulic performance of a mixed-flow pump: unsteady inviscid computations
and loss models
Journal of Fluids Engineering (Transactions of the ASME)
123
256-264.
- Kruyt, N.P. & Rothenburg, L. (2001)
Statistics of the elastic behaviour of granular materials
International Journal of Solids and Structures 38 4879-4899.
- Rothenburg, L. & Kruyt, N.P. (2001)
On limitations of the uniform strain assumption in micromechanics of
granular materials
Powders and Grains 2001: 4th International Conference on Micromechanics
of Granular Media, pp.191-194, ed. Y. Kishino, Balkema Publishers,
Rotterdam, the Netherlands.
- Kelder, J.D.H. & Dijkers, R.J.H. & Esch, B.P.M. van & Kruyt,
N.P. (2001)
Experimental and theoretical study of the flow in the volute of a low
specific-speed pump
Fluid Dynamics Research 28 267-280.
- Kruyt, N.P. & Rothenburg, L. (2001)
Micromechanics of the elastic behaviour of granular materials
Continuous and Discontinuous Modelling of Cohesive Frictional Materials,
pp.129-142, eds. P.A. Vermeer & S. Diebels & W. Ehlers & H.J.
Herrmann & S. Luding & E. Ramm, Springer-Verlag, Berlin, Germany.
- Steinbusch, P.J. & Vlasblom, W.J. & Burger, M. den & Kruyt,
N.P. (1999)
Numerical simulation of the flow generated by cutter heads
Hydrotransport 14: 14th International Conference on Slurry Handling and
Pipeline Transport, pp. 435-443, BHR Group.
- Kruyt, N.P. & Esch, B.P.M. van & Jonker, J.B. (1999)
A superelement-based method for computing unsteady three-dimensional
potential flows in hydraulic turbomachines
Communications in Numerical Methods in Engineering
15 381-397.
- Kruyt, N.P. & Rothenburg, L. (1998)
Statistical theories for the elastic moduli of two-dimensional assemblies of
granular materials
International Journal of Engineering Science
36 1127-1142.
- Kruyt, N.P. (1997)
A conjugate gradient method for the spectral partitioning of graphs
Parallel Computing 22 1493-1502.
- Esch, B.P.M. van & Kruyt, N.P. & Jonker, J.B. (1997)
An inviscid-viscous coupling method for computing flows in entire pump
configurations
Third ASME Pumping Machinery Symposium, FED-SM97-3373, ASME,
Vancouver, BC, Canada.
- Sloot, E.M. & Kruyt, N.P. (1996)
Theoretical and experimental study of the transport of granular materials by
inclined vibratory conveyors
Powder Technology 87 203-210.
- Kruyt, N.P. & Rothenburg, L. (1996)
Micromechanical definition of the strain tensor for granular materials
Journal of Applied Mechanics (Transactions of the ASME) 63
706-711.
- Kruyt, N.P. & Esch, B.P.M. van & Jonker, J.B. (1996)
A tool for the analysis of unsteady potential flows in centrifugal and
mixed-flow pumps
Pump Congress 1996, Paper C8-2, September 1996, Karlsruhe, Germany.
- Kruyt, N.P. & Esch, B.P.M. van & Jonker, J.B. (1995)
Analysis of three-dimensional potential flows in centrifugal and mixed-flow
pumps by a finite element method
Tenth Conference on Fluid Machinery, pp.242-251, Budapest, Hungary,
ed. A. Szabo.
- Esch, B.P.M. van & Kruyt, N.P. & Jonker, J.B. (1995)
An efficient method for computing three-dimensional potential flows in
hydraulic turbomachines
Ninth International Conference on Finite Elements in Fluids — New
Trends and Applications, pp.633-644, Venice, Italy, eds. M. Morandi
Cecchi & K. Morgan & J. Periaux & B.A. Schrefler & O.C.
Zienkiewicz.
- Esch, B.P.M. van & Kruyt, N.P. (1995)
Analysis of the flow in a centrifugal pump using a multi-block finite
element method for computing three-dimensional potential flows
ERCOFTAC Seminar and Workshop on 3D Turbomachinery Flow Prediction III,
part III, pp.19-25, Val d'Isčre, France.
- Kruyt, N.P. (1994)
Aspects of constitutive relations for cohesionless granular materials
Ph.D. Thesis, Department of Mechanical Engineering, University of Twente,
Enschede, the Netherlands.
- Kruyt, N.P. (1993)
Results of Jenike's (1987) radial stress field theory for the flow of
granular materials in conical hoppers: flow regimes and flow factors
Powder Technology 76 109-112.
- Kruyt, N.P. (1993)
Towards micro-mechanical constitutive relations for granular materials
Modern Approaches to Plasticity, pp.147-178, Horton, Greece, ed. D.
Kolymbas, Elsevier, Amsterdam, the Netherlands.
- Kruyt, N.P. & Verël, W.J.Th. (1992)
Experimental and theoretical study of rapid flows of cohesionless granular
materials down inclined chutes
Powder Technology 73 109-115.
- Kruyt, N.P. (1990)
An analysis of the generalized double-sliding models for cohesionless
granular materials
Journal of the Mechanics and Physics of Solids
38 27-35.
- Kruyt, N.P. (1990)
Density effects in two-dimensional bins
Journal of Applied Mechanics (Transactions of the ASME) 57
1032-1035.
- Kruyt, N.P. (1989)
On hypo-elastic analogues of the dilatant double-sliding model
International Journal for Numerical and Analytical Methods in
Geomechanics 13 303-309.
- Kruyt, N.P. & Cuvelier, C. & Segal, A. & Zanden, J. van der
(1988)
A total linearization method for solving viscous free boundary flow problems
by the finite element method
International Journal for Numerical Methods in Fluids
8
351-363.
- Kruyt, N.P. (1988)
On constitutive relations for cohesionless granular materials
Silos — Forschung und Praxis Tagung `88, pp.71-81, Karlsruhe,
Germany, ed. J. Eibl.
Last updated
24 June 2010