Abstract
This paper proposes a novel orifice flow model for non-Newtonian fluids. The orifice model is developed for sharp orifices with small apertures (orifice to pipe diameter ratio: 0.04 ≤ β ≤ 0.16) for which predictive models are not present in the literature. The orifice flow experiment is conducted with three different orifices and three different fluids. From the experimental data, a correlation is developed that relates Euler number to Reynolds number and orifice diameter ratio. It also accounts for elastic effects of the fluid on orifice flow by including Weissenberg number in the model. The developed model predicts the experimental data within reasonable accuracy.
Issue Section:
Technical Briefs
References
1.
EN ISO,
2003
, “Measurement of Fluid Flow by Means of
Pressure Differential Devices Inserted in Circular Cross-Section Conduits
Running Full
,” British Standards Institution, London,
Standard No. EN ISO 5167-1:2003
.https://www.iso.org/standard/28064.html2.
Vacca
,
A.
, and
Guidetti
,
M.
, 2011
,
“Modelling and Experimental Validation of External Spur Gear
Machines for Fluid Power Applications
,” Simul.
Modell. Pract. Theory
, 19
(9
), pp.
2007
–2031
.3.
Vacca
,
A.
,
Klop
,
R.
, and
Ivantysynova
,
M.
, 2010
,
“A Numerical Approach for the Evaluation of the Effects of
Air Release and Vapour Cavitation on Effective Flow Rate of Axial Piston
Machines
,” Int. J. Fluid Power
,
11
(1
), pp.
33
–45
.4.
Jenkins
,
R. P.
, and
Ivantysynova
,
M.
, 2016
,
“Investigation of Instability of a Pressure Compensated Vane
Pump
,” ASME
Paper No. FPNI2016-1535.5.
Idelchik
,
I. E.
, 1966
,
Handbook of Hydraulic Resistance
, Israel
Program for Scientific Translations
,
Jerusalem, Israel
.6.
Merritt
,
H. E.
, 1967
,
Hydraulic Control Systems
,
Wiley
, New
York
.7.
Wu
,
D.
,
Burton
,
R.
, and
Schoenau
,
G.
, 2002
,
“An Empirical Discharge Coefficient Model for Orifice
Flow
,” Int. J. Fluid Power
,
3
(3
), pp.
13
–19
.8.
Borghi
,
M.
,
Milani
,
M.
, and
Paoluzzi
,
R.
, 2000
,
“Stationary Axial Flow Force Analysis on Compensated Spool
Valves
,” Int. J. Fluid Power
,
1
(1
), pp.
17
–25
.9.
Johnston
,
D. N.
,
Edge
, K.
A.
, and Vaughan
,
N. D.
, 1991
,
“Experimental Investigation of Flow and Force Characteristics
of Hydraulic Poppet and Disc Valves
,” Proc. Inst.
Mech. Eng., Part A: J. Power Energy
,
205
(31
), pp.
161
–171
.10.
Arun
,
N.
,
Malavarayan
,
S.
, and
Kaushik
,
M.
, 2010
,
“CFD Analysis on Discharge Co-Efficient During Non-Newtonian
Flows Through Orifice Meter
,” Int. J. Eng. Sci.
Technol.
, 2
(7
), pp.
3151
–3164
.http://www.ijest.info/docs/IJEST10-02-07-113.pdf11.
Karthik
,
G. S. Y.
,
Kumar
, K.
J.
, and
Seshadri
,
V.
, 2015
,
“Prediction of Performance Characteristics of Orifice Plate
Assembly for Non-Standard Conditions Using CFD
,”
Int. J. Eng. Tech. Res.
, 3
(5), pp.
162–167.https://www.erpublication.org/published_paper/IJETR032190.pdf12.
Jin
,
Z.
,
Gao
,
Z.
,
Zhang
,
M.
, and
Qian
,
J.
, 2017
,
“Pressure Drop Analysis of Pilot-Control Globe Valve With
Different Structural Parameters
,” ASME J. Fluids
Eng.
, 139
(9
), p.
091102
.13.
Morris
,
S. D.
, 1985
,
“Two Phase Pressure Drop Across Valves and Orifice
Plates
,” European Two Phase Flow Group
Meeting
, Southampton, UK.14.
Fossa
,
M.
, and
Guglielmini
,
G.
, 2002
,
“Pressure Drop and Void Fraction Profiles During Horizontal
Flow Through Thin and Thick Orifices
,” Exp. Therm.
Fluid Sci.
, 26
(5
), pp.
513
–523
.15.
Roul
,
M. K.
, and
Dash
, S.
K.
, 2012
,
“Single-Phase and Two-Phase Flow Through Thin and Thick
Orifices in Horizontal Pipes
,” ASME J. Fluids
Eng.
, 134
(9
), p.
091301
.16.
Zeghloul
,
A.
,
Azzi
,
A.
,
Saidj
,
F.
,
Messilem
,
A.
, and
Azzopardi
, B.
J.
, 2017
,
“Pressure Drop Through Orifices for Single- and Two-Phase
Vertically Upward Flow—Implication for Metering
,”
ASME J. Fluids Eng.
,
139
(3
), p. 031302
.17.
Salas-Valerio
, W.
F.
, and
Steffe
, J.
F.
, 1990
, “Orifice
Discharge Coefficients for Power-Law Fluids
,” J.
Food Process Eng.
, 12
(2
), pp.
89
–98
.18.
McNeil
,
D. A.
,
Addlesee
,
J.
, and
Stuart
,
A.
, 1999
,
“An Experimental Study of Viscous Flows in
Contractions
,” J. Loss Prev. Process Ind.
,
12
(4
), pp.
249
–258
.19.
Pal
,
R.
, 1993
,
“Flow of Oil-in-Water Emulsions Through Orifice and Venturi
Meters
,” Ind. Eng. Chem. Res.
,
32
(6
), pp.
1212
–1217
.20.
Edwards
,
M. F.
,
Jadallah
, M. S.
M.
, and
Smith
,
R.
, 1985
,
“Head Losses in Pipe Fittings at Low Reynolds
Numbers
,” Chem. Eng. Res. Des.
,
63
(1
), pp.
43
–50
.http://archive.icheme.org/cgi-bin/somsid.cgi?session=842673B&page=63ap0043&type=framedpdf21.
Samanta
,
A. K.
,
Banerjee
, T.
K.
, and Das
,
S. K.
, 1999
,
“Pressure Losses in Orifices for the Flow of
Gas-Non-Newtonian Liquids
,” Can. J. Chem.
Eng.
, 77
(3
), pp.
579
–583
.22.
Bandyopadhyay
, T.
K.
, and Das
,
S. K.
, 2007
,
“Non-Newtonian Pseudoplastic Liquid Flow Through Small
Diameter Piping Components
,” J. Pet. Sci.
Eng.
, 55
(1
), pp.
156
–166
.23.
Bohra
,
L. K.
, 2004
,
“Flow and Pressure Drop of Highly Viscous Fluids in Small
Aperture Orifices
,” Ph.D. thesis
, Georgia
Institute of Technology, Atlanta, GA.https://smartech.gatech.edu/handle/1853/7269?show=full24.
Ntamba
Ntamba
, B.
, and
Fester
,
V.
, 2012
,
“Pressure Losses and Limiting Reynolds Numbers for
Non-Newtonian Fluids in Short Square-Edged Orifice Plates
,”
ASME J. Fluids Eng.
,
134
(9
), p. 091204
.25.
Chowdhury
, M.
R.
, and Fester
,
V. G.
, 2012
,
“Modeling Pressure Losses for Newtonian and Non-Newtonian
Laminar and Turbulent Flow in Long Square Edged Orifices
,”
Chem. Eng. Res. Des.
,
90
(7
), pp.
863
–869
.26.
Slatter
,
P.
, 2000
,
“The Role of Rheology in the Pipelining of Mineral
Slurries
,” Miner. Process. Extr. Metall.
Rev.
, 20
(1
), pp.
281
–300
.27.
Eisenbrand
, G.
D.
, and
Goddard
, J.
D.
, 1982
,
“Birefringence and Pressure Drop for the Orifice Flow of a
Polymer Solution
,” J. Non-Newtonian Fluid
Mech.
, 11
(1
), pp.
37
–52
.28.
Rothstein
, J.
P.
, and
McKinley
, G.
H.
, 2001
, “The
Axisymmetric Contraction–Expansion: The Role of Extensional Rheology on
Vortex Growth Dynamics and the Enhanced Pressure Drop
,”
J. Non-Newtonian Fluid Mech.
,
98
(1
), pp.
33
–63
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