메뉴 건너뛰기




Volumn 220, Issue , 2015, Pages 22-32

Natural convection problem in a Bingham fluid using the operator-splitting method

Author keywords

Bingham fluid; Cavity flow; Natural convection; Operator splitting method

Indexed keywords

CONSTRAINED OPTIMIZATION; HEAT TRANSFER; LAGRANGE MULTIPLIERS; NATURAL CONVECTION; OPTIMIZATION; PRANDTL NUMBER;

EID: 84929523443     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2014.06.005     Document Type: Article
Times cited : (75)

References (34)
  • 1
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: a bench mark numerical solution
    • de Vahl Davis G. Natural convection of air in a square cavity: a bench mark numerical solution. Int. J. Numer. Meth. Fluids 1983, 3:249-264.
    • (1983) Int. J. Numer. Meth. Fluids , vol.3 , pp. 249-264
    • de Vahl Davis, G.1
  • 2
    • 46549099484 scopus 로고
    • Computation of natural convection in two-dimensional cavities with Chebyshev polynomials
    • Le Quéré P., Alziary de Roquefort T. Computation of natural convection in two-dimensional cavities with Chebyshev polynomials. J. Comput. Phys. 1985, 57:210-228.
    • (1985) J. Comput. Phys. , vol.57 , pp. 210-228
    • Le Quéré, P.1    Alziary de Roquefort, T.2
  • 3
    • 0025841017 scopus 로고
    • Accurate solutions to the square thermally driven cavity at high Rayleigh number
    • Le Quéré P. Accurate solutions to the square thermally driven cavity at high Rayleigh number. Comp. Fluids 1991, 20:29-41.
    • (1991) Comp. Fluids , vol.20 , pp. 29-41
    • Le Quéré, P.1
  • 4
    • 0002350362 scopus 로고
    • Gas flow in vertical slots with large horizontal temperature differences
    • Chenoweth D.R., Paolucci S. Gas flow in vertical slots with large horizontal temperature differences. Phys. Fluids 1985, 28:2365-2374.
    • (1985) Phys. Fluids , vol.28 , pp. 2365-2374
    • Chenoweth, D.R.1    Paolucci, S.2
  • 5
    • 0022514076 scopus 로고
    • Natural convection in an enclosed vertical air layer with large horizontal temperature differences
    • Chenoweth D.R., Paolucci S. Natural convection in an enclosed vertical air layer with large horizontal temperature differences. J. Fluid Mech. 1986, 169:173-210.
    • (1986) J. Fluid Mech. , vol.169 , pp. 173-210
    • Chenoweth, D.R.1    Paolucci, S.2
  • 6
    • 0028410786 scopus 로고
    • Natural convection flows in a square cavity revisited: laminar and turbulent models with wall functions
    • Barakos G., Mitsoulis E., Assimacopoulos D. Natural convection flows in a square cavity revisited: laminar and turbulent models with wall functions. Int. J. Numer. Meth. Fluids 1994, 18:695-719.
    • (1994) Int. J. Numer. Meth. Fluids , vol.18 , pp. 695-719
    • Barakos, G.1    Mitsoulis, E.2    Assimacopoulos, D.3
  • 8
    • 33645783751 scopus 로고    scopus 로고
    • Spectral element benchmark simulations of natural convection in two-dimensional cavities
    • Gjesdal T., Wasberg C.E., Reif B.A.P. Spectral element benchmark simulations of natural convection in two-dimensional cavities. Int. J. Numer. Meth. Fluids 2006, 50:1297-1319.
    • (2006) Int. J. Numer. Meth. Fluids , vol.50 , pp. 1297-1319
    • Gjesdal, T.1    Wasberg, C.E.2    Reif, B.A.P.3
  • 9
    • 34247396142 scopus 로고    scopus 로고
    • Numerical simulation of natural and mixed convection flows by Galerkin-characteristic method
    • El-Amrani M., Seaïd M. Numerical simulation of natural and mixed convection flows by Galerkin-characteristic method. Int. J. Numer. Meth. Fluids 2007, 53:1819-1845.
    • (2007) Int. J. Numer. Meth. Fluids , vol.53 , pp. 1819-1845
    • El-Amrani, M.1    Seaïd, M.2
  • 10
    • 33745003440 scopus 로고    scopus 로고
    • Natural convection in a vertical rectangular cavity filled with a non-Newtonian power law fluid and subjected to a horizontal temperature gradient
    • Lamsaadi M., Naïmi M., Hasnaoui M., Manou M. Natural convection in a vertical rectangular cavity filled with a non-Newtonian power law fluid and subjected to a horizontal temperature gradient. Numer. Heat Transf. 2006, 49, Part A:969-990.
    • (2006) Numer. Heat Transf. , pp. 969-990
    • Lamsaadi, M.1    Naïmi, M.2    Hasnaoui, M.3    Manou, M.4
  • 11
    • 33748637961 scopus 로고    scopus 로고
    • Natural convection in a tilted rectangular slot containing non-Newtonian power law fluids and subject to a longitudinal thermal gradient
    • Lamsaadi M., Naïmi M., Hasnaoui M., Manou M. Natural convection in a tilted rectangular slot containing non-Newtonian power law fluids and subject to a longitudinal thermal gradient. Numer. Heat Transf. 2006, 50, Part A:561-583.
    • (2006) Numer. Heat Transf. , pp. 561-583
    • Lamsaadi, M.1    Naïmi, M.2    Hasnaoui, M.3    Manou, M.4
  • 12
    • 35648989624 scopus 로고    scopus 로고
    • Parallel flow convection in a shallow horizontal cavity filled with non-Newtonian power law fluids and subject to horizontal and vertical uniform heat fluxes
    • Lamsaadi M., Naïmi M., Bahlaoui A., Raji A., Hasnaoui M., Manou M. Parallel flow convection in a shallow horizontal cavity filled with non-Newtonian power law fluids and subject to horizontal and vertical uniform heat fluxes. Numer. Heat Transf. 2008, 53, Part A:178-203.
    • (2008) Numer. Heat Transf. , pp. 178-203
    • Lamsaadi, M.1    Naïmi, M.2    Bahlaoui, A.3    Raji, A.4    Hasnaoui, M.5    Manou, M.6
  • 13
    • 79960600295 scopus 로고    scopus 로고
    • Laminar convection of power-law fluids in a square enclosure with differentially heated side walls subjected to constant temperatures
    • Turan O., Sachdeva A., Chakraborty N., Poole R.J. Laminar convection of power-law fluids in a square enclosure with differentially heated side walls subjected to constant temperatures. J. Non-Newton. Fluid Mech. 2011, 166:1049-1063.
    • (2011) J. Non-Newton. Fluid Mech. , vol.166 , pp. 1049-1063
    • Turan, O.1    Sachdeva, A.2    Chakraborty, N.3    Poole, R.J.4
  • 15
    • 0030198849 scopus 로고    scopus 로고
    • Modelling and numerical simulation of low-Mach-number compressible flows
    • Li C.-H., Glowinski R. Modelling and numerical simulation of low-Mach-number compressible flows. Int. J. Numer. Meth. Fluids 1996, 23:77-103.
    • (1996) Int. J. Numer. Meth. Fluids , vol.23 , pp. 77-103
    • Li, C.-H.1    Glowinski, R.2
  • 16
    • 0032138419 scopus 로고    scopus 로고
    • Application of a first-order operator splitting method to Bingham fluid flow simulation
    • Sánchez F.J. Application of a first-order operator splitting method to Bingham fluid flow simulation. Comp. Math. Appl. 1998, 36:71-86.
    • (1998) Comp. Math. Appl. , vol.36 , pp. 71-86
    • Sánchez, F.J.1
  • 17
    • 0035994806 scopus 로고    scopus 로고
    • Operator-splitting methods for the simulation of Bingham visco-plastic flow
    • Dean E.J., Glowinski R. Operator-splitting methods for the simulation of Bingham visco-plastic flow. Chin. Ann. Math. 2002, 23B:187-204.
    • (2002) Chin. Ann. Math. , vol.23B , pp. 187-204
    • Dean, E.J.1    Glowinski, R.2
  • 18
    • 67649646329 scopus 로고    scopus 로고
    • Finite element methods for incompressible viscous flow
    • North-Holland, Amsterdam
    • Glowinski R. Finite element methods for incompressible viscous flow. Handbook of Numerical Analysis 2003, vol. IX:3-1176. North-Holland, Amsterdam.
    • (2003) Handbook of Numerical Analysis , vol.9 , pp. 3-1176
    • Glowinski, R.1
  • 19
    • 33847134718 scopus 로고    scopus 로고
    • On the numerical simulation of Bingham visco-plastic flow: old and new results
    • Dean E.J., Glowinski R., Guidoboni G. On the numerical simulation of Bingham visco-plastic flow: old and new results. J. Non-Newton. Fluid Mech. 2007, 142:36-62.
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 36-62
    • Dean, E.J.1    Glowinski, R.2    Guidoboni, G.3
  • 20
    • 34547839146 scopus 로고    scopus 로고
    • A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids
    • Yu Z., Wachs A. A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids. J. Non-Newton. Fluid Mech. 2007, 145:78-91.
    • (2007) J. Non-Newton. Fluid Mech. , vol.145 , pp. 78-91
    • Yu, Z.1    Wachs, A.2
  • 21
    • 62549085221 scopus 로고    scopus 로고
    • Prolegomena to variational inequalities and numerical schemes for compressible viscoplastic fluids
    • Huilgol R.R., You Z. Prolegomena to variational inequalities and numerical schemes for compressible viscoplastic fluids. J. Non-Newton. Fluid Mech. 2009, 158:113-126.
    • (2009) J. Non-Newton. Fluid Mech. , vol.158 , pp. 113-126
    • Huilgol, R.R.1    You, Z.2
  • 22
    • 78650731177 scopus 로고    scopus 로고
    • On the numerical simulation of viscoplastic fluid flow
    • North-Holland, Amsterdam
    • Glowinski R., Wachs A. On the numerical simulation of viscoplastic fluid flow. Handbook of Numerical Analysis 2011, vol. XVI:483-717. North-Holland, Amsterdam.
    • (2011) Handbook of Numerical Analysis , vol.16 , pp. 483-717
    • Glowinski, R.1    Wachs, A.2
  • 23
    • 85190242398 scopus 로고    scopus 로고
    • Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results
    • Vola D., Boscardin L., Latché J.C. Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results. J. Comput. Results 2003, 187 441-456.
    • (2003) J. Comput. Results , pp. 187 441-456
    • Vola, D.1    Boscardin, L.2    Latché, J.C.3
  • 24
    • 77953958781 scopus 로고    scopus 로고
    • Laminar natural convection of Bingham fluids in a square enclosure with differentially heated side walls
    • Turan O., Chakraborty N., Poole R.J. Laminar natural convection of Bingham fluids in a square enclosure with differentially heated side walls. J. Non-Newton. Fluid Mech. 2010, 165 901-913.
    • (2010) J. Non-Newton. Fluid Mech. , pp. 165 901-913
    • Turan, O.1    Chakraborty, N.2    Poole, R.J.3
  • 25
    • 78651459460 scopus 로고    scopus 로고
    • Aspect ratio effects in laminar natural convection of Bingham fluids in rectangular enclosures with differentially heated side walls
    • Turan O., Poole R.J., Chakraborty N. Aspect ratio effects in laminar natural convection of Bingham fluids in rectangular enclosures with differentially heated side walls. J. Non-Newton. Fluid Mech. 2011, 166 208-230.
    • (2011) J. Non-Newton. Fluid Mech. , pp. 166 208-230
    • Turan, O.1    Poole, R.J.2    Chakraborty, N.3
  • 26
    • 0000765024 scopus 로고
    • The validity of the Boussinesq approximation for liquid and gases
    • Gray D.D., Giorgini A. The validity of the Boussinesq approximation for liquid and gases. Int. J. Heat Mass Transf. 1976, 19:545-551.
    • (1976) Int. J. Heat Mass Transf. , vol.19 , pp. 545-551
    • Gray, D.D.1    Giorgini, A.2
  • 27
    • 0022153146 scopus 로고
    • A numerical study of the applicability of the Boussinesq approximation for a fluid saturated porous medium
    • Gartling D.K., Hickox C.B. A numerical study of the applicability of the Boussinesq approximation for a fluid saturated porous medium. Int. J. Numer. Meth. Fluids 1985, 5:995-1013.
    • (1985) Int. J. Numer. Meth. Fluids , vol.5 , pp. 995-1013
    • Gartling, D.K.1    Hickox, C.B.2
  • 28
    • 0001526376 scopus 로고
    • Stress-deformation relations for isotropic materials
    • Rivlin R.S., Ericksen J.L. Stress-deformation relations for isotropic materials. J. Rat. Mech. Anal. 1955, 4:323-425.
    • (1955) J. Rat. Mech. Anal. , vol.4 , pp. 323-425
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 31
    • 10044294690 scopus 로고
    • Transfert de chaleur dans un fluide de Bingham dont la viscosité dépend de la température
    • Duvaut G., Lions J.L. Transfert de chaleur dans un fluide de Bingham dont la viscosité dépend de la température. J. Funct. Anal. 1972, 11:93-110.
    • (1972) J. Funct. Anal. , vol.11 , pp. 93-110
    • Duvaut, G.1    Lions, J.L.2
  • 33
    • 0026801646 scopus 로고
    • Finite element methods for Navier-Stokes equations
    • Glowinski R., Pironneau O. Finite element methods for Navier-Stokes equations. Ann. Rev. Fluid Mech. 1992, 24:167-204.
    • (1992) Ann. Rev. Fluid Mech. , vol.24 , pp. 167-204
    • Glowinski, R.1    Pironneau, O.2
  • 34
    • 0442331134 scopus 로고
    • Methodes numeriques pour l'ecoulement laminaire d'un fluide rigide viscoplastique incompressible
    • Cea J., Glowinski R. Methodes numeriques pour l'ecoulement laminaire d'un fluide rigide viscoplastique incompressible. Int. J. Comp. Math. Sec. B 1972, 3:225-255.
    • (1972) Int. J. Comp. Math. Sec. B , vol.3 , pp. 225-255
    • Cea, J.1    Glowinski, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.