Nanoparticle Migration in a Fully Developed Turbulent Pipe Flow Considering the Particle Coagulation

Abstract

Abstract: Numerical simulations of nanoparticle migration in a fully developed turbulent pipe flow are performed.The evolution of particle number concentration,total particle mass,polydispersity,particle diameter and geometric standard deviation is obtained by using a moment method to approximate the particle general dynamic equation.The effects of Schmidt number and Damköhler number on the evolution of the particle parameters are analyzed.The results show that nanoparticles move to the pipe center.The particle number concentration and total particle mass are distributed non-uniformly along the radial direction.In an initially monodisperse particle field,the particle clusters with various sizes will be produced because of coagulation.As time progresses,the particle cluster diameter grows from an initial value at different rates depending on the radial position.The largest particle clusters are found in the pipe center.The particle cluster number concentration and total particle mass decrease with the increase of Schmidt number in the region near the pipe center,and the particles with lower Schmidt number are of many different sizes,i.e.more polydispersity.The particle cluster diameter and geometric standard deviation increase with the increase of Damkhler number at the same radial position.The migration properties for nanosized particles are different from that for microsized particles.

Key words: nanoparticle, coagulation, turbulent, pipe flow

摘要： Numerical simulations of nanoparticle migration in a fully developed turbulent pipe flow are performed.The evolution of particle number concentration,total particle mass,polydispersity,particle diameter and geometric standard deviation is obtained by using a moment method to approximate the particle general dynamic equation.The effects of Schmidt number and Damköhler number on the evolution of the particle parameters are analyzed.The results show that nanoparticles move to the pipe center.The particle number concentration and total particle mass are distributed non-uniformly along the radial direction.In an initially monodisperse particle field,the particle clusters with various sizes will be produced because of coagulation.As time progresses,the particle cluster diameter grows from an initial value at different rates depending on the radial position.The largest particle clusters are found in the pipe center.The particle cluster number concentration and total particle mass decrease with the increase of Schmidt number in the region near the pipe center,and the particles with lower Schmidt number are of many different sizes,i.e.more polydispersity.The particle cluster diameter and geometric standard deviation increase with the increase of Damkhler number at the same radial position.The migration properties for nanosized particles are different from that for microsized particles.

关键词: nanoparticle, coagulation, turbulent, pipe flow

LIN Jianzhong, LIU Song, CHAN Tatleung. Nanoparticle Migration in a Fully Developed Turbulent Pipe Flow Considering the Particle Coagulation[J]. Chin.J.Chem.Eng., 2012, 20(4): 679-685.

林建忠, 刘淞, 陈达良. Nanoparticle Migration in a Fully Developed Turbulent Pipe Flow Considering the Particle Coagulation[J]. Chinese Journal of Chemical Engineering, 2012, 20(4): 679-685.

References

1 Kittelson,D.B.,"Engines and nanoparticles:A review",J.Aerosol Sci.,29,575-588(1998).
2 Yu,M.Z.,Lin,J.Z.,Chen,L.H.,Chan,T.L.,"Large eddy simulation of a planar jet flow with nanoparticle coagulation",Acta Mech. Sinica,22(4),293-300(2006).
3 Chan,T.L.,Lin,J.Z.,Zhou,K.,Chan,C.K.,"Simultaneous numerical simulation of nano and fine particle coagulation and dispersion in a round jet",J.Aerosol Sci.,37,1545-1561(2006).
4 Yu,M.Z.,Lin,J.Z.,Chan,T.L.,"Numerical simulation of nanoparticle synthesis in diffusion flame reactor",Powder Technology,181,9-20(2008).
5 Yu,M.Z.,Lin,J.Z.,Chan,T.L.,"Effect of precursor loading on non-spherical TiO₂ nanoparticle synthesis in a diffusion flame reactor",Chem.Eng.Sci.,63,2317-2329(2008).
6 Ding,W.L.,Wen,D.S.,"Particle migration in a flow of nanoparticle suspension",Powder Technol.,149,84-92(2005).
7 Jiang,S.P.,Lee,J.H.,Hwang,K.S.,Choi,S.U.S.,"Particle concentration and tube size dependence of viscosities of Al₂O₃-water nanofluids flowing through micro-and minitubes",Appl.Phys.Lett.,91,243112(2007).
8 Akbarinia,A.,Behzadmehr,A.,"Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes",Appl.Therm. Eng.,27,1327-1337(2007).
9 Mirmasoumi,S.,Behzadmehr,A.,"Numerical study of laminar mixed convection of a nanofluid in a horizontal tube using two-phase mixture model",Appl.Therm.Eng.,28,717-727(2008).
10 Jwo,C.S.,Teng,T.P.,Wu,D.J.,Chang,H.,Chen,S.L.,"Research on pressure loss of alumina nanofluid flow in a pipe",J.Chinese Soc. Mech.Eng.,30,511-517(2009).(in Chinese)
11 Lin,J.Z.,Lin,P.F.,Chen,H.J.,"Research on the transport and deposition of nanoparticles in a rotating curved pipe",Physi.Fluids,21,122001(2009).
12 Peng,H.,Ding,G.L.,Jiang,W.T.,Hu,H.T.,Gao,Y.F.,"Measurement and correlation of frictional pressure drop of refrigerant-based nanofluid flow boiling inside a horizontal smooth tube",Int.J.Refrig.Revue Int.Du Froid,32,1756-1764(2009).
13 Lin,P.F.,Lin,J.Z.,"Prediction of nanoparticle transport and deposition in bends",Appl.Math.Mech.Eng.Ed.,30,957-968(2009).
14 Lai,W.Y.,Phelan,P.E.,Prasher,R.S.,"Pressure-drop viscosity measurements for gamma-Al₂O₃ nanoparticles in water and PG-water mixtures(nanofluids)",J.Nanosci.Nanotechnol.,10,8026-8034(2010).
15 Qian,M.,Yan,Q.,Ni,X.W.,Zheng,H.R.,"Detection of nanoparticle Brownian motions in a nanofluid using laser speckle velocimetry",Lasers Eng.,20,117-128(2010).
16 Wright,D.L.,Yu,S.C.,Shaocai,Y.,Kasibhatla,P.S.,McGraw,R., Schwartz,S.E.,Saxena,V.K.,Yue,G.K.,"Retrieval of aerosol properties from moments of the particle size distribution for kernels involving the step function:Cloud droplet activation",J.Aerosol Sci.,33,319-337(2002).
17 Settumba,N.,Garrick,S.C.,"Direct numerical simulation of nanoparticle coagulation in a temporal mixing layer via a moment method",J.Aerosol Sci.,34,149-167(2003).
18 Hinze,J.O.,Turbulence,McGraw-Hill,USA(1975).
19 Friedlander,S.K.,Smoke,Dust and Haze:Fundamentals of Aerosol Behavior,Wiley,New York(2000).
20 Pratsinis,S.E.,"Simultaneous nucleation,condensation and coagulation in aerosol reactors",J.Colloid Interface Sci.,124,416-427 (1988).
21 Suh,S.M.,Zachariah,M.R.,Girshick,S.L.,"Numerical modelling of silicon oxide particle formation and transport in a one-dimensional low-pressure chemical vapor deposition reactor",J.Aerosol Sci.,33 (6),943-959(2002).
22 Lam,Y.C.,Chen,X.,Tan,K.W.,Chai,J.C.,Yu,S.C.M.,"Numerical investigation of particle migration if Poiseuille flow of composite system",Composites Science and Technology,64,1001-1010(2004).

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