Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli

Chin.J.Chem.Eng. ›› 2012, Vol. 20 ›› Issue (1): 191-202.

Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli

MAO Zaisha¹, YANG Chao¹, Vassilios C. Kelessidis²

1. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2. Mineral Resources Engineering Department, Technical University of Crete, Greece

Received:2011-10-31 Revised:2011-12-19 Online:2012-05-03 Published:2012-02-28
Supported by:
Supported by the State Key Development Program for Basic Research of China (2009CB623406);the National Natural Science Foundation of China (20990224,11172299);the National Science Fund for Distinguished Young Scholars (21025627)

Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli

毛在砂¹, 杨超¹, Vassilios C. Kelessidis²

1. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2. Mineral Resources Engineering Department, Technical University of Crete, Greece

基金资助:
Supported by the State Key Development Program for Basic Research of China (2009CB623406);the National Natural Science Foundation of China (20990224,11172299);the National Science Fund for Distinguished Young Scholars (21025627)

Abstract

Abstract: Numerical solution of yield viscoplastic fluid flow is hindered by the singularity inherent to the Herschel-Bulkley model.A finite difference method over the boundary-fitted orthogonal coordinate system is utilized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli.The fluid rheology is described with the Herschel-Bulkley model.The numerical simulation based on a continuous viscoplastic approach to the Herschel-Bulkley model is found in poor accordance with the experimental data on volumetric flow rate of a bentonite suspension.A strict mathematical model for Herschel-Bulkley fluid flow is established and the corresponding numerical procedures are proposed.However,only the case of flow of a Herschel-Bulkley fluid in a concentric annulus is resolved based on the presumed flow structure by using the common optimization technique.Possible flow structures in an eccentric annulus are presumed,and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.

Key words: yield viscoplastic fluid, Herschel-Bulkley model, non-Newtonian fluid flow, annulus, mathematical model

摘要： Numerical solution of yield viscoplastic fluid flow is hindered by the singularity inherent to the Herschel-Bulkley model.A finite difference method over the boundary-fitted orthogonal coordinate system is utilized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli.The fluid rheology is described with the Herschel-Bulkley model.The numerical simulation based on a continuous viscoplastic approach to the Herschel-Bulkley model is found in poor accordance with the experimental data on volumetric flow rate of a bentonite suspension.A strict mathematical model for Herschel-Bulkley fluid flow is established and the corresponding numerical procedures are proposed.However,only the case of flow of a Herschel-Bulkley fluid in a concentric annulus is resolved based on the presumed flow structure by using the common optimization technique.Possible flow structures in an eccentric annulus are presumed,and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.

关键词: yield viscoplastic fluid, Herschel-Bulkley model, non-Newtonian fluid flow, annulus, mathematical model

CLC Number:

TQ021.1

MAO Zaisha, YANG Chao, Vassilios C. Kelessidis. Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli[J]. Chin.J.Chem.Eng., 2012, 20(1): 191-202.

毛在砂, 杨超, Vassilios C. Kelessidis. Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli[J]. Chinese Journal of Chemical Engineering, 2012, 20(1): 191-202.

References

1 Bird,S.R.,Stewart,W.B.,Lightfoot,B.N.,Transport Phenomena,New York,Wiley(1960).
2 Chhabra,R.P.,Bubbles,Drops,and Particles in Non-Newtonian Fluids,2nd edition,Taylor Francis(2007).
3 Kelessidis,V.C.,Maglione,R.,Tsamantaki,C.,Aspirtakis,Y.,"Optimal determination of rheological parameters for Herschel-Bulkley drilling fluids and impact on pressure drop,velocity profiles and penetration rates during drilling",J.Petrol.Sci.Eng.,53,203-224 (2006).
4 Kelessidis,V.C.,Maglione,R.,"Yield stress of water-bentonite dispersions",Colloids Surfaces A Physicochem.Eng.Aspects,318(1-3),217-226(2008).
5 Glowinski,R.,Wachs,A.,"On the numerical simulation of viscoplastic fluid flow",In:Handbook of Numerical Analysis,Vol.16,Numerical Methods for Non-Newtonian Fluids,Glowinski,R.,Xu,J.,eds.,North-Holland,Amsterdam,483-717(2011).
6 Dean,E.J.,Glowinski,R.,Guidoboni,G.,"On the numerical simulation of Bingham visco-plastic flow:Old and new results",J. Non-Newt.Fluid Mech.,142,36-62(2007).
7 Papanastasiou,T.C.,"Flows of materials with yield",J.Rheol.,31,385-404(1987).
8 Papanastasiou,T.C.,Boudouvis,A.G.,"Flows of viscoplastic materials: Models and computations",Comput.Struct.,64,677-694(1997).
9 Hussain,Q.E.,Sharif,M.A.R.,"Numerical modeling of helical flow of viscoplastic fluids in eccentric annuli",AIChE J.,46(10),1937-1946(2000).
10 Beverly,C.R.,Tanner,R.I.,"Numerical analysis of three-dimensional Bingham plastic flow",J.Non-Newt.Fluid Mech.,42,85-115(1992).
11 Vradis,G.C.,Dougher,J.,Kumar,S.,"Entrance pipe flow and heat transfer for a Bingham plastic",Int.J.Heat Mass Transfer,36,543-552(1993).
12 Patankar,S.V.,Numerical Heat Transfer and Fluid Flow,McGraw-Hill,New York(1980).
13 Ryskin,G.,Leal,L.G.,"Orthogonal mapping",J.Comput.Phys.,50,71-100(1983).
14 Mao,Z.S.,"Numerical simulation of viscous flow through spherical particle assemblage with the modified cell model",Chin.J.Chem. Eng.,10,149-162(2002).
15 Mao,Z.S.,Wang,Y.F.,"Numerical simulation of mass transfer in a spherical particle assemblage with the cell model",Powder Technol.,134,145-155(2003).
16 Kelessidis,V.C.,Dalamarinis,P.,Maglione,R.,"Experimental study and predictions of pressure losses of fluids modeled as HerschelBulkley in concentric and eccentric annuli in laminar,transitional and turbulent flows",J.Petrol.Sci.Eng.,77,305-312(2011).
17 Hanks,R.W.,"The axial flow of yield-pseudoplastic fluids in a concentric annulus",Ind.Eng.Chem.Process Des.Dev.,18,488-493 (1979).
18 Walton,I.C.,Bittleston,S.H.,"The axial flow of a Bingham plastic in a narrow eccentric annulus",J.Fluid Mech.,222,39-60(1991).
19 Meuric,O.F.J.,Wakeman,R.J.,Chiu,T.W.,Fisher,K.,"Numerical flow simulation of viscoplastic fluids in annuli",Can.J.Chem.Eng,76,27-40(1998).

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Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli

Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli

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