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Volumn 84, Issue , 2014, Pages 196-206

Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field

Author keywords

Circular microchannel; Magnetic field; Modified Buongiorno's model; Nanofluid; Nanoparticles migration; Slip velocity

Indexed keywords

BROWNIAN MOVEMENT; LAMINAR FLOW; MAGNETIC FIELDS; MICROCHANNELS; NANOPARTICLES; SPECIFIC HEAT; VOLUME FRACTION;

EID: 84903166548     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2014.05.013     Document Type: Article
Times cited : (212)

References (55)
  • 1
    • 84880406945 scopus 로고    scopus 로고
    • Torsion and curvature effects on fluid flow in a helical annulus
    • M.R.H. Nobari, and A. Malvandi Torsion and curvature effects on fluid flow in a helical annulus Int. J. Non-Linear Mech. 57 2013 90 101
    • (2013) Int. J. Non-Linear Mech. , vol.57 , pp. 90-101
    • Nobari, M.R.H.1    Malvandi, A.2
  • 3
    • 84886515109 scopus 로고    scopus 로고
    • Characteristics of heat transfer and fluid flow in microtube and microchannel using conventional fluids and nanofluids: A review
    • B.H. Salman, H.A. Mohammed, K.M. Munisamy, and A.S. Kherbeet Characteristics of heat transfer and fluid flow in microtube and microchannel using conventional fluids and nanofluids: a review Renew. Sustain. Energy Rev. 28 2013 848 880
    • (2013) Renew. Sustain. Energy Rev. , vol.28 , pp. 848-880
    • Salman, B.H.1    Mohammed, H.A.2    Munisamy, K.M.3    Kherbeet, A.S.4
  • 5
    • 0002289550 scopus 로고
    • Enhancing thermal conductivity of fluids with nanoparticles
    • D.A. Siginer, H.P. Wang, ASME
    • S.U.S. Choi Enhancing thermal conductivity of fluids with nanoparticles D.A. Siginer, H.P. Wang, Developments and Applications of Non-Newtonian Flows vol. 66 1995 ASME 99 105
    • (1995) Developments and Applications of Non-Newtonian Flows , vol.66 VOL. , pp. 99-105
    • Choi, S.U.S.1
  • 6
    • 0007644403 scopus 로고
    • Alteration of thermalconductivity and viscosity of liquid by dispersing ultra-ne particles
    • H. Masuda, A. Ebata, K. Teramae, and N. Hishinuma Alteration of thermalconductivity and viscosity of liquid by dispersing ultra-ne particles Netsu Bussei 7 1993
    • (1993) Netsu Bussei , vol.7
    • Masuda, H.1    Ebata, A.2    Teramae, K.3    Hishinuma, N.4
  • 7
    • 0032825295 scopus 로고    scopus 로고
    • Measuring thermal conductivity of fluids containing oxide nanoparticles
    • S. Lee, S.U.S. Choi, S. Li, and J.A. Eastman Measuring thermal conductivity of fluids containing oxide nanoparticles J. Heat Transf. 121 1999 280 289 (Pubitemid 29419226)
    • (1999) Journal of Heat Transfer , vol.121 , Issue.2 , pp. 280-289
    • Lee, S.1    Choi, S.U.-S.2    Li, S.3    Eastman, J.A.4
  • 8
    • 0001435905 scopus 로고    scopus 로고
    • Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles
    • DOI 10.1063/1.1341218
    • J.A. Eastman, S.U.S. Choi, S. Li, W. Yu, and L.J. Thompson Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles Appl. Phys. Lett. 78 2001 718 720 (Pubitemid 33630327)
    • (2001) Applied Physics Letters , vol.78 , Issue.6 , pp. 718-720
    • Eastman, J.A.1    Choi, S.U.S.2    Li, S.3    Yu, W.4    Thompson, L.J.5
  • 9
    • 0035473529 scopus 로고    scopus 로고
    • Anomalous thermal conductivity enhancement in nanotube suspensions
    • DOI 10.1063/1.1408272
    • S.U.S. Choi, Z.G. Zhang, W. Yu, F.E. Lockwood, and E.A. Grulke Anomalous thermal conductivity enhancement in nanotube suspensions Appl. Phys. Lett. 79 2001 2252 2254 (Pubitemid 33600817)
    • (2001) Applied Physics Letters , vol.79 , Issue.14 , pp. 2252-2254
    • Choi, S.U.S.1    Zhang, Z.G.2    Yu, W.3    Lockwood, F.E.4    Grulke, E.A.5
  • 10
    • 78651390164 scopus 로고    scopus 로고
    • Review of heat conduction in nanofluids
    • J. Fan, and L. Wang Review of heat conduction in nanofluids J. Heat Transf. 133 2011 040801
    • (2011) J. Heat Transf. , vol.133 , pp. 040801
    • Fan, J.1    Wang, L.2
  • 11
    • 33645634748 scopus 로고    scopus 로고
    • Convective transport in nanofluids
    • J. Buongiorno Convective transport in nanofluids J. Heat Transf. 128 2006 240 250
    • (2006) J. Heat Transf. , vol.128 , pp. 240-250
    • Buongiorno, J.1
  • 12
    • 71649085635 scopus 로고    scopus 로고
    • Natural convective boundary-layer flow of a nanofluid past a vertical plate
    • A.V. Kuznetsov, and D.A. Nield Natural convective boundary-layer flow of a nanofluid past a vertical plate Int. J. Therm. Sci. 49 2010 243 247
    • (2010) Int. J. Therm. Sci. , vol.49 , pp. 243-247
    • Kuznetsov, A.V.1    Nield, D.A.2
  • 13
    • 84889680948 scopus 로고    scopus 로고
    • Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model
    • A.V. Kuznetsov, and D.A. Nield Natural convective boundary-layer flow of a nanofluid past a vertical plate: a revised model Int. J. Therm. Sci. 77 2014 126 129
    • (2014) Int. J. Therm. Sci. , vol.77 , pp. 126-129
    • Kuznetsov, A.V.1    Nield, D.A.2
  • 14
    • 41949140677 scopus 로고    scopus 로고
    • Thermal instability of nanofluids in natural convection
    • DOI 10.1016/j.ijheatmasstransfer.2007.09.014, PII S0017931007005881
    • D.Y. Tzou Thermal instability of nanofluids in natural convection Int. J. Heat Mass Transf. 51 2008 2967 2979 (Pubitemid 351514731)
    • (2008) International Journal of Heat and Mass Transfer , vol.51 , Issue.11-12 , pp. 2967-2979
    • Tzou, D.Y.1
  • 16
    • 77649338479 scopus 로고    scopus 로고
    • The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid
    • D.A. Nield, and A.V. Kuznetsov The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid Int. J. Heat Mass Transf. 52 2009 5792 5795
    • (2009) Int. J. Heat Mass Transf. , vol.52 , pp. 5792-5795
    • Nield, D.A.1    Kuznetsov, A.V.2
  • 17
    • 84942818847 scopus 로고    scopus 로고
    • The unsteady flow of a nanofluid in the stagnation Point region of a time-dependent rotating sphere
    • 10.2298/TSCI121020079M
    • A. Malvandi The unsteady flow of a nanofluid in the stagnation Point region of a time-dependent rotating sphere Therm. Sci. 2013 10.2298/ TSCI121020079M
    • (2013) Therm. Sci.
    • Malvandi, A.1
  • 18
    • 84884235180 scopus 로고    scopus 로고
    • Stagnation point flow of a nanofluid toward an exponentially stretching sheet with nonuniform heat generation/absorption
    • A. Malvandi, F. Hedayati, and G. Domairry Stagnation point flow of a nanofluid toward an exponentially stretching sheet with nonuniform heat generation/absorption J. Thermodyn. 2013 2013 12
    • (2013) J. Thermodyn. , vol.2013 , pp. 12
    • Malvandi, A.1    Hedayati, F.2    Domairry, G.3
  • 19
    • 84903130084 scopus 로고    scopus 로고
    • Effects of nanoparticle migration on force convection of alumina/water nanofluid in a cooled parallel-plate channel
    • A. Malvandi, D.D. Ganji, Effects of nanoparticle migration on force convection of alumina/water nanofluid in a cooled parallel-plate channel, Adv. Powder Technol.
    • Adv. Powder Technol
    • Malvandi, A.1    Ganji, D.D.2
  • 20
    • 84897562431 scopus 로고    scopus 로고
    • Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel
    • A. Malvandi, and D.D. Ganji Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel J. Magn. Magn. Mater. 362 2014 172 179
    • (2014) J. Magn. Magn. Mater. , vol.362 , pp. 172-179
    • Malvandi, A.1    Ganji, D.D.2
  • 21
    • 84900790640 scopus 로고    scopus 로고
    • Mixed convective heat transfer of water/alumina nanofluid inside a vertical microchannel
    • A. Malvandi, and D.D. Ganji Mixed convective heat transfer of water/alumina nanofluid inside a vertical microchannel Powder Technol. 263 2014 37 44
    • (2014) Powder Technol. , vol.263 , pp. 37-44
    • Malvandi, A.1    Ganji, D.D.2
  • 22
    • 84859923280 scopus 로고    scopus 로고
    • Natural convection in nanofluids: Are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement?
    • Z. Haddad, E. Abu-Nada, H.F. Oztop, and A. Mataoui Natural convection in nanofluids: are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement? Int. J. Therm. Sci. 57 2012 152 162
    • (2012) Int. J. Therm. Sci. , vol.57 , pp. 152-162
    • Haddad, Z.1    Abu-Nada, E.2    Oztop, H.F.3    Mataoui, A.4
  • 23
    • 78651340576 scopus 로고    scopus 로고
    • Combined thermophoresis, Brownian motion and Dufour effects on natural convection of nanofluids
    • H.A. Pakravan, and M. Yaghoubi Combined thermophoresis, Brownian motion and Dufour effects on natural convection of nanofluids Int. J. Therm. Sci. 50 2011 394 402
    • (2011) Int. J. Therm. Sci. , vol.50 , pp. 394-402
    • Pakravan, H.A.1    Yaghoubi, M.2
  • 25
    • 84877673000 scopus 로고    scopus 로고
    • On the anomalous convective heat transfer enhancement in nanofluids: A theoretical answer to the nanofluids controversy
    • C. Yang, W. Li, Y. Sano, M. Mochizuki, and A. Nakayama On the anomalous convective heat transfer enhancement in nanofluids: a theoretical answer to the nanofluids controversy J. Heat Transf. 135 2013 054504
    • (2013) J. Heat Transf. , vol.135 , pp. 054504
    • Yang, C.1    Li, W.2    Sano, Y.3    Mochizuki, M.4    Nakayama, A.5
  • 26
    • 84900811189 scopus 로고    scopus 로고
    • Natural convection of nanofluids inside a vertical enclosure in the presence of a uniform magnetic field
    • D.D. Ganji, and A. Malvandi Natural convection of nanofluids inside a vertical enclosure in the presence of a uniform magnetic field Powder Technol. 263 2014 50 57
    • (2014) Powder Technol. , vol.263 , pp. 50-57
    • Ganji, D.D.1    Malvandi, A.2
  • 27
    • 84874528521 scopus 로고    scopus 로고
    • Investigation of squeezing unsteady nanofluid flow using ADM
    • M. Sheikholeslami, D.D. Ganji, and H.R. Ashorynejad Investigation of squeezing unsteady nanofluid flow using ADM Powder Technol. 239 2013 259 265
    • (2013) Powder Technol. , vol.239 , pp. 259-265
    • Sheikholeslami, M.1    Ganji, D.D.2    Ashorynejad, H.R.3
  • 28
    • 84888633423 scopus 로고    scopus 로고
    • Thermal and flow analysis of microchannel heat sink (MCHS) cooled by Cu water nanofluid using porous media approach and least square method
    • M. Hatami, and D.D. Ganji Thermal and flow analysis of microchannel heat sink (MCHS) cooled by Cu water nanofluid using porous media approach and least square method Energy Convers. Manag. 78 2014 347 358
    • (2014) Energy Convers. Manag. , vol.78 , pp. 347-358
    • Hatami, M.1    Ganji, D.D.2
  • 30
    • 78649974542 scopus 로고    scopus 로고
    • Critical investigation of heat transfer enhancement using nanofluids in microchannels with slip and non-slip flow regimes
    • A. Akbarinia, M. Abdolzadeh, and R. Laur Critical investigation of heat transfer enhancement using nanofluids in microchannels with slip and non-slip flow regimes Appl. Therm. Eng. 31 2011 556 565
    • (2011) Appl. Therm. Eng. , vol.31 , pp. 556-565
    • Akbarinia, A.1    Abdolzadeh, M.2    Laur, R.3
  • 31
    • 79551525788 scopus 로고    scopus 로고
    • A numerical study on the forced convection of laminar nanofluid in a microchannel with both slip and no-slip conditions
    • A. Raisi, B. Ghasemi, and S.M. Aminossadati A numerical study on the forced convection of laminar nanofluid in a microchannel with both slip and no-slip conditions Numer. Heat Transf. Part A: Appl. 59 2011 114 129
    • (2011) Numer. Heat Transf. Part A: Appl. , vol.59 , pp. 114-129
    • Raisi, A.1    Ghasemi, B.2    Aminossadati, S.M.3
  • 32
    • 84886510593 scopus 로고    scopus 로고
    • 2 non-Newtonian nanofluid passing through the porous media between two coaxial cylinders
    • 2 non-Newtonian nanofluid passing through the porous media between two coaxial cylinders J. Mol. Liq. 188 2013 155 161
    • (2013) J. Mol. Liq. , vol.188 , pp. 155-161
    • Hatami, M.1    Ganji, D.D.2
  • 33
    • 84892809721 scopus 로고    scopus 로고
    • Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel
    • M. Hatami, J. Hatami, and D.D. Ganji Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel Comput. Meth. Progr. Biomed. 113 2 2014 632 641
    • (2014) Comput. Meth. Progr. Biomed. , vol.113 , Issue.2 , pp. 632-641
    • Hatami, M.1    Hatami, J.2    Ganji, D.D.3
  • 35
    • 84863857380 scopus 로고    scopus 로고
    • Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid
    • M. Sheikholeslami, M. Gorji-Bandpay, and D.D. Ganji Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid Int. Commun. Heat Mass Transf. 39 2012 978 986
    • (2012) Int. Commun. Heat Mass Transf. , vol.39 , pp. 978-986
    • Sheikholeslami, M.1    Gorji-Bandpay, M.2    Ganji, D.D.3
  • 36
    • 84866921563 scopus 로고    scopus 로고
    • Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field
    • M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, S. Soleimani, and S.M. Seyyedi Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field Int. Commun. Heat Mass Transf. 39 2012 1435 1443
    • (2012) Int. Commun. Heat Mass Transf. , vol.39 , pp. 1435-1443
    • Sheikholeslami, M.1    Gorji-Bandpy, M.2    Ganji, D.D.3    Soleimani, S.4    Seyyedi, S.M.5
  • 37
    • 84878660804 scopus 로고    scopus 로고
    • Numerical investigation of the effect of magnetic field on natural convection in a curved-shape enclosure
    • M. Sheikholeslami, I. Hashim, and S. Soleimani Numerical investigation of the effect of magnetic field on natural convection in a curved-shape enclosure Math. Probl. Eng. 2013 2013 1 10
    • (2013) Math. Probl. Eng. , vol.2013 , pp. 1-10
    • Sheikholeslami, M.1    Hashim, I.2    Soleimani, S.3
  • 38
    • 84865479525 scopus 로고    scopus 로고
    • Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating
    • M. Rashidi, and E. Erfani Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating Eng. Comput. 29 2012 562 579
    • (2012) Eng. Comput. , vol.29 , pp. 562-579
    • Rashidi, M.1    Erfani, E.2
  • 39
    • 84890962047 scopus 로고    scopus 로고
    • Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties
    • M.M. Rashidi, N. Kavyani, and S. Abelman Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties Int. J. Heat Mass Transf. 70 2014 892 917
    • (2014) Int. J. Heat Mass Transf. , vol.70 , pp. 892-917
    • Rashidi, M.M.1    Kavyani, N.2    Abelman, S.3
  • 40
    • 79957888677 scopus 로고    scopus 로고
    • Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk
    • M.M. Rashidi, T. Hayat, E. Erfani, S.A. Mohimanian Pour, and A.A. Hendi Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk Commun. Nonlinear Sci. Numer. Simul. 16 2011 4303 4317
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 4303-4317
    • Rashidi, M.M.1    Hayat, T.2    Erfani, E.3    Mohimanian Pour, S.A.4    Hendi, A.A.5
  • 42
    • 35848954717 scopus 로고    scopus 로고
    • Single-phase laminar and turbulent heat transfer in smooth and rough microtubes
    • DOI 10.1007/s10404-007-0162-7
    • G.P. Celata, M. Cumo, S.J. McPhail, and G. Zummo Single-phase laminar and turbulent heat transfer in smooth and rough microtubes Microfluid. Nanofluid. 3 2007 697 707 (Pubitemid 350055450)
    • (2007) Microfluidics and Nanofluidics , vol.3 , Issue.6 , pp. 697-707
    • Celata, G.P.1    Cumo, M.2    McPhail, S.J.3    Zummo, G.4
  • 43
    • 78651342306 scopus 로고    scopus 로고
    • Thermally developing microtube gas flow with axial conduction and viscous dissipation
    • A. Aziz, and N. Niedbalski Thermally developing microtube gas flow with axial conduction and viscous dissipation Int. J. Therm. Sci. 50 2011 332 340
    • (2011) Int. J. Therm. Sci. , vol.50 , pp. 332-340
    • Aziz, A.1    Niedbalski, N.2
  • 45
    • 84875437553 scopus 로고    scopus 로고
    • 3 nanofluid at high Reynolds numbers
    • 3 nanofluid at high Reynolds numbers Int. J. Heat Mass Transf. 62 2013 22 30
    • (2013) Int. J. Heat Mass Transf. , vol.62 , pp. 22-30
    • Minea, A.A.1
  • 46
    • 84865355751 scopus 로고    scopus 로고
    • Heat transfer enhancement of nanofluids flow in microtube with constant heat flux
    • B.H. Salman, H.A. Mohammed, and A.S. Kherbeet Heat transfer enhancement of nanofluids flow in microtube with constant heat flux Int. Commun. Heat Mass Transf. 39 2012 1195 1204
    • (2012) Int. Commun. Heat Mass Transf. , vol.39 , pp. 1195-1204
    • Salman, B.H.1    Mohammed, H.A.2    Kherbeet, A.S.3
  • 47
    • 71849110258 scopus 로고    scopus 로고
    • Slip flow heat transfer in an infinite microtube with axial conduction
    • A.K. Satapathy Slip flow heat transfer in an infinite microtube with axial conduction Int. J. Therm. Sci. 49 2010 153 160
    • (2010) Int. J. Therm. Sci. , vol.49 , pp. 153-160
    • Satapathy, A.K.1
  • 48
    • 56649124650 scopus 로고    scopus 로고
    • Microtube gas flows with second-order slip flow and temperature jump boundary conditions
    • N. Xiao, J. Elsnab, and T. Ameel Microtube gas flows with second-order slip flow and temperature jump boundary conditions Int. J. Therm. Sci. 48 2009 243 251
    • (2009) Int. J. Therm. Sci. , vol.48 , pp. 243-251
    • Xiao, N.1    Elsnab, J.2    Ameel, T.3
  • 49
    • 84862757808 scopus 로고    scopus 로고
    • Numerical study of axial heat conduction effects on the local Nusselt number at the entrance and ending regions of a circular microchannel
    • M. Rahimi, and R. Mehryar Numerical study of axial heat conduction effects on the local Nusselt number at the entrance and ending regions of a circular microchannel Int. J. Therm. Sci. 59 2012 87 94
    • (2012) Int. J. Therm. Sci. , vol.59 , pp. 87-94
    • Rahimi, M.1    Mehryar, R.2
  • 50
    • 84855932921 scopus 로고    scopus 로고
    • An approximate mathematical model for solidification of a flowing liquid in a microchannel
    • T.G. Myers, and J. Low An approximate mathematical model for solidification of a flowing liquid in a microchannel Microfluid. Nanofluid. 11 2011 417 428
    • (2011) Microfluid. Nanofluid. , vol.11 , pp. 417-428
    • Myers, T.G.1    Low, J.2
  • 51
    • 84888123648 scopus 로고    scopus 로고
    • Modified Buongiorno's model for fully developed mixed convection flow of nanofluids in a vertical annular pipe
    • A. Malvandi, S.A. Moshizi, E.G. Soltani, and D.D. Ganji Modified Buongiorno's model for fully developed mixed convection flow of nanofluids in a vertical annular pipe Comput. Fluids 89 2014 124 132
    • (2014) Comput. Fluids , vol.89 , pp. 124-132
    • Malvandi, A.1    Moshizi, S.A.2    Soltani, E.G.3    Ganji, D.D.4
  • 52
    • 84890832364 scopus 로고    scopus 로고
    • Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet
    • A. Malvandi, F. Hedayati, and D.D. Ganji Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet Powder Technol. 253 2014 377 384
    • (2014) Powder Technol. , vol.253 , pp. 377-384
    • Malvandi, A.1    Hedayati, F.2    Ganji, D.D.3
  • 53
    • 84881246873 scopus 로고    scopus 로고
    • Lie group analysis of stagnation-point flow of a nanofluid
    • K. Das Lie group analysis of stagnation-point flow of a nanofluid Microfluid. Nanofluid. 15 2013 267 274
    • (2013) Microfluid. Nanofluid. , vol.15 , pp. 267-274
    • Das, K.1
  • 54
    • 84899416197 scopus 로고    scopus 로고
    • Nanofluid flow over a shrinking sheet with surface slip
    • K. Das Nanofluid flow over a shrinking sheet with surface slip Microfluid. Nanofluid. 16 2014 391 401
    • (2014) Microfluid. Nanofluid. , vol.16 , pp. 391-401
    • Das, K.1
  • 55
    • 17644401043 scopus 로고    scopus 로고
    • Laminar nanofluid flow in microheat-sinks
    • J. Koo, and C. Kleinstreuer Laminar nanofluid flow in microheat-sinks Int. J. Heat Mass Transf. 48 2005 2652 2661
    • (2005) Int. J. Heat Mass Transf. , vol.48 , pp. 2652-2661
    • Koo, J.1    Kleinstreuer, C.2


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