메뉴 건너뛰기




Volumn 34, Issue 2, 1999, Pages 347-359

Flow and heat transfer due to natural convection in granular materials

Author keywords

Boundary value problems; Constitutive relations; Continuum mechanics; Granular materials; Heat transfer; Natural convection

Indexed keywords


EID: 0000958485     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(98)00039-0     Document Type: Article
Times cited : (9)

References (53)
  • 1
    • 85040382331 scopus 로고
    • Reidel, Kluwer Academic Publishers, Hingham, MA
    • K. Hutter, Theoretical Glaciology, Reidel, Kluwer Academic Publishers, Hingham, MA, 1983.
    • (1983) Theoretical Glaciology
    • Hutter, K.1
  • 3
    • 0004211139 scopus 로고
    • Science Press, Gower Technical, Brookfield
    • S.L. Soo, Multiphase Fluid Dynamics, Science Press, Gower Technical, Brookfield 1990.
    • (1990) Multiphase Fluid Dynamics
    • Soo, S.L.1
  • 6
  • 7
    • 0011331971 scopus 로고
    • Heat transfer to granular solids in agitated units
    • V.W. Uhl, W.L. Root, Heat transfer to granular solids in agitated units, Chem. Engng Prog. 63 (1967) 81-92.
    • (1967) Chem. Engng Prog. , vol.63 , pp. 81-92
    • Uhl, V.W.1    Root, W.L.2
  • 10
    • 0001848605 scopus 로고
    • Fully developed flow of granular materials down a heated inclined plane
    • R. Gudhe, K.R. Rajagopal, M. Massoudi, Fully developed flow of granular materials down a heated inclined plane, Acta Mech. 103 (1994) 63-78.
    • (1994) Acta Mech. , vol.103 , pp. 63-78
    • Gudhe, R.1    Rajagopal, K.R.2    Massoudi, M.3
  • 11
    • 0005703968 scopus 로고
    • Experiments showing dilatancy, a property of granular material, possibly connected with gravitation
    • O. Reynolds, Experiments showing dilatancy, a property of granular material, possibly connected with gravitation, Proc. Roy. Inst. Gr. Britain 11 (1886) 354-363.
    • (1886) Proc. Roy. Inst. Gr. Britain , vol.11 , pp. 354-363
    • Reynolds, O.1
  • 12
    • 84959718263 scopus 로고
    • Two problems in the gravity flow of granular materials
    • M.A. Goodman, S.C. Cowin, Two problems in the gravity flow of granular materials, J. Fluid Mech. 45 (1971) 312-339.
    • (1971) J. Fluid Mech. , vol.45 , pp. 312-339
    • Goodman, M.A.1    Cowin, S.C.2
  • 14
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • S.B. Savage, The mechanics of rapid granular flows, Adv. Appl. Mech. 24 (1984) 289-366.
    • (1984) Adv. Appl. Mech. , vol.24 , pp. 289-366
    • Savage, S.B.1
  • 15
    • 0019914241 scopus 로고
    • A generalized continuum theory for granular materials
    • G. Ahmadi, A generalized continuum theory for granular materials, Int. J. Non-Linear Mech. 17 (1982) 21-33.
    • (1982) Int. J. Non-Linear Mech. , vol.17 , pp. 21-33
    • Ahmadi, G.1
  • 16
    • 0025546095 scopus 로고
    • A theory for granular materials exhibiting normal stress effects based on Enkog's dense gas theory
    • E.J. Boyle, M. Massoudi, A theory for granular materials exhibiting normal stress effects based on Enkog's dense gas theory, Int. J. Engng Sci. 28 (1990) 1261-1275.
    • (1990) Int. J. Engng Sci. , vol.28 , pp. 1261-1275
    • Boyle, E.J.1    Massoudi, M.2
  • 17
    • 0022026190 scopus 로고
    • Natural convection flow of a non-Newtonian fluid between two vertical flat plates
    • K.R. Rajagopal, T.Y. Na, Natural convection flow of a non-Newtonian fluid between two vertical flat plates, Acta Mech. 54 (1985) 239-246.
    • (1985) Acta Mech. , vol.54 , pp. 239-246
    • Rajagopal, K.R.1    Na, T.Y.2
  • 18
    • 0021862255 scopus 로고
    • Flow of a non-Newtonian fluid between heated parallel plates
    • A.Z. Szeri, K.R. Rajagopal, Flow of a non-Newtonian fluid between heated parallel plates, Int. J. Non-Linear Mech. 20 (1985) 91-101.
    • (1985) Int. J. Non-linear Mech. , vol.20 , pp. 91-101
    • Szeri, A.Z.1    Rajagopal, K.R.2
  • 19
    • 0025211137 scopus 로고
    • Natural convection flow of a non-Newtonian fluid between two concentric vertical cylinders
    • M. Massoudi, I. Christie, Natural convection flow of a non-Newtonian fluid between two concentric vertical cylinders, Acta Mech. 82 (1990) 11-19.
    • (1990) Acta Mech. , vol.82 , pp. 11-19
    • Massoudi, M.1    Christie, I.2
  • 20
    • 0002523282 scopus 로고
    • Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe
    • M. Massoudi, I. Christie, Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe, Int. J. Non-Linear Mech. 30 (1995) 687.
    • (1995) Int. J. Non-linear Mech. , vol.30 , pp. 687
    • Massoudi, M.1    Christie, I.2
  • 21
    • 0039336304 scopus 로고
    • Boundary layer analysis of unmixed combustible gases at the stagnation region: Ignition and extinction
    • R.W. Lewis and K. Morgan (Eds.) Wiley, New York
    • T.X. Phuoc, P. Durbetaki, Boundary layer analysis of unmixed combustible gases at the stagnation region: ignition and extinction. In: R.W. Lewis and K. Morgan (Eds.) Numerical Methods in Heat Transfer, Vol. 3 Wiley, New York, 1985 149.
    • (1985) Numerical Methods in Heat Transfer , vol.3 , pp. 149
    • Phuoc, T.X.1    Durbetaki, P.2
  • 25
    • 0018465996 scopus 로고
    • Gravity flow of cohesionless granular materials in chutes and channels
    • S.B. Savage, Gravity flow of cohesionless granular materials in chutes and channels, J. Fluid Mech. 92 (1979) 53.
    • (1979) J. Fluid Mech. , vol.92 , pp. 53
    • Savage, S.B.1
  • 26
    • 0027052849 scopus 로고
    • Existence of solutions to the equations governing the flow of granular materials
    • K.R. Rajagopal, W. Troy, M. Massoudi, Existence of solutions to the equations governing the flow of granular materials, Eur. J. Mech., B Fluids, 11 (3) (1992) 265-276.
    • (1992) Eur. J. Mech., B Fluids , vol.11 , Issue.3 , pp. 265-276
    • Rajagopal, K.R.1    Troy, W.2    Massoudi, M.3
  • 27
    • 0028532779 scopus 로고
    • Flow of granular materials between rotating disks
    • K.R. Rajagopal, M. Massoudi, A.S. Wineman, Flow of granular materials between rotating disks, Mech. Res. Commun. 21 (6) (1994) 629-634.
    • (1994) Mech. Res. Commun. , vol.21 , Issue.6 , pp. 629-634
    • Rajagopal, K.R.1    Massoudi, M.2    Wineman, A.S.3
  • 30
    • 0026837705 scopus 로고
    • Analysis of fully developed chute, flow of granular materials
    • H. Ahn, C.E. Brenner, R.H. Sabersky, Analysis of fully developed chute, flow of granular materials, ASME J. Appl. Mech 59 (1992) 109.
    • (1992) ASME J. Appl. Mech , vol.59 , pp. 109
    • Ahn, H.1    Brenner, C.E.2    Sabersky, R.H.3
  • 31
    • 0022138225 scopus 로고
    • Viscosity, granular temperature, and stress calculation for shearing assemblies of inelastic, frictional disks
    • O.R. Walton, R.L. Braun, Viscosity, granular temperature, and stress calculation for shearing assemblies of inelastic, frictional disks, J. Rheol. 30 (1986a) 949.
    • (1986) J. Rheol. , vol.30 , pp. 949
    • Walton, O.R.1    Braun, R.L.2
  • 32
    • 0022153028 scopus 로고
    • Stress calculations for assemblies of inelastic spheres in uniform shear
    • O.R. Walton, R.L. Braun, Stress calculations for assemblies of inelastic spheres in uniform shear, Acta Mech. 63 (1986b) 73.
    • (1986) Acta Mech. , vol.63 , pp. 73
    • Walton, O.R.1    Braun, R.L.2
  • 34
    • 0025792272 scopus 로고
    • Flow of a fluid infused with solid particles through a pipe
    • G. Johnson, M. Massoudi, K.R. Rajagopal, Flow of a fluid infused with solid particles through a pipe, Int. J. Engng Sci. 29 (1991b) 649.
    • (1991) Int. J. Engng Sci. , vol.29 , pp. 649
    • Johnson, G.1    Massoudi, M.2    Rajagopal, K.R.3
  • 35
    • 0002902651 scopus 로고
    • Experiments on a gravity-free dispersion of large solid spheres in a newtonian fluid under shear
    • R.A. Bagnold, Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear, Proc. Roy. Soc. London, Series A, 225 (1954) 49.
    • (1954) Proc. Roy. Soc. London, Series A , vol.225 , pp. 49
    • Bagnold, R.A.1
  • 36
    • 0000843619 scopus 로고
    • The shearing and dilatation of dry sand and the Singing mechanism
    • R.A. Bagnold, The shearing and dilatation of dry sand and the Singing mechanism, Proc. Royal. Soc. London, Ser. A 295 (1966) 219.
    • (1966) Proc. Royal. Soc. London, Ser. A , vol.295 , pp. 219
    • Bagnold, R.A.1
  • 37
    • 0039775613 scopus 로고
    • On Fourier's law of heat conduction
    • Liu, I-Shih, On Fourier's law of heat conduction, Contin. Mech. Thermodyn. 2 (1990) 301.
    • (1990) Contin. Mech. Thermodyn. , vol.2 , pp. 301
    • Liu, I.-S.1
  • 41
    • 0015986253 scopus 로고
    • On the thermal conductivity of granular materials
    • Buyevich Yu.A., On the thermal conductivity of granular materials, Chem. Engng Sci. 24 (1974) 37.
    • (1974) Chem. Engng Sci. , vol.24 , pp. 37
    • Buyevich, Yu.A.1
  • 42
    • 0030109488 scopus 로고    scopus 로고
    • Effective thermal conductivity of granular porous materials
    • I.H. Tavman, Effective thermal conductivity of granular porous materials, Int. Common. Heat Mass Transfer 23 (1996) 169.
    • (1996) Int. Common. Heat Mass Transfer , vol.23 , pp. 169
    • Tavman, I.H.1
  • 43
    • 0000660784 scopus 로고
    • Comparison of convective heat transfer in packed beds and granular flows
    • M.L. Hunt, Comparison of convective heat transfer in packed beds and granular flows, Annu. Rev. Heat Transfer 3 (1990) 163.
    • (1990) Annu. Rev. Heat Transfer , vol.3 , pp. 163
    • Hunt, M.L.1
  • 44
    • 3042966284 scopus 로고
    • Simultaneous heat, mass, and momentum transfer in porous media: A theory of drying
    • S. Whitaker, Simultaneous heat, mass, and momentum transfer in porous media: A theory of drying, Adv. Heat Transfer 13 (1977) 119.
    • (1977) Adv. Heat Transfer , vol.13 , pp. 119
    • Whitaker, S.1
  • 45
    • 0040521482 scopus 로고
    • Heat and mass transfer in granular porous media
    • A.S. Majumda (Ed.) New York
    • S. Whitaker, Heat and mass transfer in granular porous media. In: A.S. Majumda (Ed.) Advances in Drying, Hemisphere, New York, (1981) 1-46.
    • (1981) Advances in Drying, Hemisphere , pp. 1-46
    • Whitaker, S.1
  • 46
    • 0025400997 scopus 로고
    • Experiments on the conductivity of suspensions of ionically conductive spheres
    • Y.M. Bashir, J.D, Goddard, Experiments on the conductivity of suspensions of ionically conductive spheres, AIChE J. 36 (1990) 387-396.
    • (1990) AIChE J. , vol.36 , pp. 387-396
    • Bashir, Y.M.1    Goddard, J.D.2
  • 47
    • 0017517495 scopus 로고
    • Thermal or electrical conduction through a grannular material
    • G.K. Batchelor, R.W. OBrien, Thermal or electrical conduction through a grannular material, Proc. Roy. Soc. London, Ser. A 355 (1977) 313-333.
    • (1977) Proc. Roy. Soc. London, Ser. A , vol.355 , pp. 313-333
    • Batchelor, G.K.1    OBrien, R.W.2
  • 48
    • 0007417973 scopus 로고
    • On the motion of a fluid that is incompressible in a generalized sense and its relationship to the Boussinesq approximation
    • R.N. Hills, P.H. Roberts, On the motion of a fluid that is incompressible in a generalized sense and its relationship to the Boussinesq approximation, Stability Appl. Anal. Contin. Media 1 (1991) 205.
    • (1991) Stability Appl. Anal. Contin. Media , vol.1 , pp. 205
    • Hills, R.N.1    Roberts, P.H.2
  • 50
    • 0016013907 scopus 로고
    • Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade
    • J.E. Dunn, R.L. Fosdick, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rational Mech. Anal 56 (1974) 191.
    • (1974) Arch. Rational Mech. Anal , vol.56 , pp. 191
    • Dunn, J.E.1    Fosdick, R.L.2
  • 51
    • 0029289811 scopus 로고
    • Fluids of different types: Critical review and thermodynamic analysis
    • J.E. Dunn, K.R. Rajagopal, Fluids of different types: critical review and thermodynamic analysis, Int. J. Engng Sci. 33 (1995) 689.
    • (1995) Int. J. Engng Sci. , vol.33 , pp. 689
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 52
    • 0001292389 scopus 로고
    • Thermodynamics and stability of fluids of third grade
    • R.L. Fosdick, K.R. Rajagopal, Thermodynamics and Stability of fluids of third grade, Proc. Roy. Soc. London A. 339 (1980) 351.
    • (1980) Proc. Roy. Soc. London A. , vol.339 , pp. 351
    • Fosdick, R.L.1    Rajagopal, K.R.2
  • 53
    • 33746732370 scopus 로고
    • A thermodynamic theory of mixtures of fluids
    • I.A. Müller, A thermodynamic theory of mixtures of fluids, Arch. Rational Mech. Anal. 28 (1968) 1.
    • (1968) Arch. Rational Mech. Anal. , vol.28 , pp. 1
    • Müller, I.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.