메뉴 건너뛰기




Volumn 344, Issue , 1997, Pages 1-41

Nonlinear analysis of convection flow in a tall vertical enclosure under non-Boussinesq conditions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); ENCLOSURES; ENERGY TRANSFER; NONLINEAR EQUATIONS;

EID: 0031202591     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005971     Document Type: Article
Times cited : (39)

References (32)
  • 1
    • 0014566419 scopus 로고
    • A new class of nonlinear waves in parellel flows
    • BENNEY, D. J. & BERGERON, R. F. 1969 A new class of nonlinear waves in parellel flows. Stud. Appl. Maths 48, 181-204.
    • (1969) Stud. Appl. Maths , vol.48 , pp. 181-204
    • Benney, D.J.1    Bergeron, R.F.2
  • 2
    • 0016545763 scopus 로고
    • The evolution in space and time of nonlinear waves in parallel shear flows
    • BENNEY, D. J. & MASLOW, S. A. 1974 The evolution in space and time of nonlinear waves in parallel shear flows. Stud. Appl. Maths 54, 181-205.
    • (1974) Stud. Appl. Maths , vol.54 , pp. 181-205
    • Benney, D.J.1    Maslow, S.A.2
  • 3
    • 0017935965 scopus 로고
    • Instability of steady natural convection in a vertical fluid layer
    • BERGHOLZ, R. F. 1978 Instability of steady natural convection in a vertical fluid layer. J. Fluid Mech. 84, 743-768.
    • (1978) J. Fluid Mech. , vol.84 , pp. 743-768
    • Bergholz, R.F.1
  • 4
    • 0024478710 scopus 로고
    • Stability of free-convection flows of variable-viscosity fluids in vertical and inclined slots
    • CHEN, Y.-M. & PEARLSTEIN, A. J. 1989 Stability of free-convection flows of variable-viscosity fluids in vertical and inclined slots. J. Fluid Mech. 198, 513-541.
    • (1989) J. Fluid Mech. , vol.198 , pp. 513-541
    • Chen, Y.-M.1    Pearlstein, A.J.2
  • 5
    • 0002350362 scopus 로고
    • Gas flow in vertical slots with large horizontal temperature differences
    • CHENOWETH, D. R. & PAOLUCCI, S. 1985 Gas flow in vertical slots with large horizontal temperature differences. Phys. Fluids 28, 2365-2374.
    • (1985) Phys. Fluids , vol.28 , pp. 2365-2374
    • Chenoweth, D.R.1    Paolucci, S.2
  • 6
    • 0022514076 scopus 로고
    • Natural convection in an enclosed vertical air layer with large horizontal temperature differences
    • CHENOWETH, D. R. & PAOLUCCI, S. 1986 Natural convection in an enclosed vertical air layer with large horizontal temperature differences. J. Fluid Mech. 169, 173-10.
    • (1986) J. Fluid Mech. , vol.169 , pp. 173-210
    • Chenoweth, D.R.1    Paolucci, S.2
  • 7
    • 84959627643 scopus 로고
    • Finite-amplitude stability of pipe flow
    • DAVEY, A. & NGUYEN, H. P. F. 1971 Finite-amplitude stability of pipe flow. J. Fluid Mech. 45, 701-720.
    • (1971) J. Fluid Mech. , vol.45 , pp. 701-720
    • Davey, A.1    Nguyen, H.P.F.2
  • 8
    • 0014491819 scopus 로고
    • On the high reynolds number flow over a wavy boundary
    • DAVIS, R. E. 1969 On the high reynolds number flow over a wavy boundary. J. Fluid Mech. 36, 337-346.
    • (1969) J. Fluid Mech. , vol.36 , pp. 337-346
    • Davis, R.E.1
  • 9
    • 0642336993 scopus 로고
    • The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows
    • FUJIMURA, K. 1988 The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows. Proc. R. Soc. Lond. A 424, 373-392.
    • (1988) Proc. R. Soc. Lond. A , vol.424 , pp. 373-392
    • Fujimura, K.1
  • 10
    • 0642367601 scopus 로고
    • Addendum to 'Nonlinear equilibrium solutions for traveling waves in a free convection between vertical parallel plates'
    • FUJIMURA, K. 1992a Addendum to 'Nonlinear equilibrium solutions for traveling waves in a free convection between vertical parallel plates'. Eur. J. Mech. B/Fluids 11, 461-464.
    • (1992) Eur. J. Mech. B/Fluids , vol.11 , pp. 461-464
    • Fujimura, K.1
  • 11
    • 0042483129 scopus 로고
    • Higher harmonic resonances in free convection between vertical parallel plates
    • FUJIMURA, K. 1992b Higher harmonic resonances in free convection between vertical parallel plates. Phil. Trans. R. Soc. Lond. A 340, 95-130.
    • (1992) Phil. Trans. R. Soc. Lond. A , vol.340 , pp. 95-130
    • Fujimura, K.1
  • 12
    • 0023594302 scopus 로고
    • Nonlinear interaction of disturbances in free convection between vertical parallel plates
    • (ed. R. W. Miksad, T. R. Akylas & T. Herbert). ASME
    • FUJIMURA, K. & MIZUSHIMA, J. 1987 Nonlinear interaction of disturbances in free convection between vertical parallel plates. In Nonlinear Wave Interaction in Fluids (ed. R. W. Miksad, T. R. Akylas & T. Herbert). AMD-Vol. 87, pp. 123-130. ASME.
    • (1987) Nonlinear Wave Interaction in Fluids , vol.87 AMD , pp. 123-130
    • Fujimura, K.1    Mizushima, J.2
  • 13
    • 0012161091 scopus 로고
    • Nonlinear equilibrium solutions for traveling waves in a free convection between vertical parallel plates
    • FUJIMURA, K. & MIZUSHIMA, J. 1991 Nonlinear equilibrium solutions for traveling waves in a free convection between vertical parallel plates. Eur. J. Mech. B/Fluids 10, 25-30.
    • (1991) Eur. J. Mech. B/Fluids , vol.10 , pp. 25-30
    • Fujimura, K.1    Mizushima, J.2
  • 14
    • 0020141915 scopus 로고
    • Flow instability and transport phenomena in combined free and forced convection between vertical parallel plates
    • FUKUI, K., NAKAJIMA, M., UEDA, H., SUZAKI, K. & MIZUSHINA, T. 1982 Flow instability and transport phenomena in combined free and forced convection between vertical parallel plates. J. Chem. Engng Japan 15, 172-180.
    • (1982) J. Chem. Engng Japan , vol.15 , pp. 172-180
    • Fukui, K.1    Nakajima, M.2    Ueda, H.3    Suzaki, K.4    Mizushina, T.5
  • 15
    • 0642275775 scopus 로고
    • Secondary convection in a fluid between parallel vertical plates of different temperatures
    • GOTOH, K. & IKEDA, N. 1972 Secondary convection in a fluid between parallel vertical plates of different temperatures. J. Phys. Soc. Japan 33, 1697-1705.
    • (1972) J. Phys. Soc. Japan , vol.33 , pp. 1697-1705
    • Gotoh, K.1    Ikeda, N.2
  • 17
    • 0015354987 scopus 로고
    • Critical layers in parallel flows
    • HABERMAN, R. 1972 Critical layers in parallel flows. Stud. Appl. Maths 51, 139-161.
    • (1972) Stud. Appl. Maths , vol.51 , pp. 139-161
    • Haberman, R.1
  • 18
    • 0020588541 scopus 로고
    • On perturbation methods in nonlinear stability theory
    • HERBERT, T. 1983 On perturbation methods in nonlinear stability theory. J. Fluid Mech. 126, 167-186.
    • (1983) J. Fluid Mech. , vol.126 , pp. 167-186
    • Herbert, T.1
  • 20
    • 0020543382 scopus 로고
    • Multicellular natural convection in a vertical slot
    • LEE, Y. & KORPELA, S. A. 1983 Multicellular natural convection in a vertical slot. J. Fluid Mech. 126, 91-121.
    • (1983) J. Fluid Mech. , vol.126 , pp. 91-121
    • Lee, Y.1    Korpela, S.A.2
  • 22
    • 0025403524 scopus 로고
    • Equilibrium solution of the secondary convection in a vertical fluid layer between two parallel plates
    • MIZUSHIMA, J. 1990 Equilibrium solution of the secondary convection in a vertical fluid layer between two parallel plates. Fluid Dyn. Res. 5, 289-299.
    • (1990) Fluid Dyn. Res. , vol.5 , pp. 289-299
    • Mizushima, J.1
  • 23
    • 0020736743 scopus 로고
    • Nonlinear evolution of the disturbance in a natural convection induced in a vertical fluid layer
    • MIZUSHIMA, J. & GOTOH, K. 1983 Nonlinear evolution of the disturbance in a natural convection induced in a vertical fluid layer. J. Phys. Soc. Japan 52, 1206-1214.
    • (1983) J. Phys. Soc. Japan , vol.52 , pp. 1206-1214
    • Mizushima, J.1    Gotoh, K.2
  • 24
    • 0023569113 scopus 로고
    • Equilibrium characteristics of the secondary convection in a vertical fluid layer between two flat plates
    • MIZUSHIMA, J. & SAITO, Y. 1987 Equilibrium characteristics of the secondary convection in a vertical fluid layer between two flat plates. Fluid Dyn. Res. 2, 183-191.
    • (1987) Fluid Dyn. Res. , vol.2 , pp. 183-191
    • Mizushima, J.1    Saito, Y.2
  • 25
    • 0004078308 scopus 로고
    • On the filtering of sound from the Navier-Stokes equations
    • SAND82-8257. Sandia National Laboratories, Livermore, California
    • PAOLUCCI, S. 1982. On the filtering of sound from the Navier-Stokes equations. Tech. Rep. SAND82-8257. Sandia National Laboratories, Livermore, California.
    • (1982) Tech. Rep.
    • Paolucci, S.1
  • 26
    • 84959644006 scopus 로고
    • A non-linear instability theory for a wave system in plane Poiseuille flow
    • STEWARTSON, K. & STUART, J. T. 1971 A non-linear instability theory for a wave system in plane Poiseuille flow. J. Fluid Mech. 48, 529-545.
    • (1971) J. Fluid Mech. , vol.48 , pp. 529-545
    • Stewartson, K.1    Stuart, J.T.2
  • 27
    • 84974073932 scopus 로고
    • On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow
    • STUART, J. T. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow. J. Fluid Mech. 9, 353-370.
    • (1960) J. Fluid Mech. , vol.9 , pp. 353-370
    • Stuart, J.T.1
  • 29
    • 0029136173 scopus 로고
    • Stability of natural convection flow in a tall vertical enclosure under non-Boussinesq conditions
    • SUSLOV, S. A. & PAOLUCCi, S. 1995a Stability of natural convection flow in a tall vertical enclosure under non-Boussinesq conditions. Intl J. Heat Mass Transfer 38, 2143-2157.
    • (1995) Intl J. Heat Mass Transfer , vol.38 , pp. 2143-2157
    • Suslov, S.A.1    Paolucci, S.2
  • 30
    • 0029395263 scopus 로고
    • Stability of mixed-convection flow in a tall vertical channel under non-Boussinesq conditions
    • SUSLOV, S. A. & PAOLUCCI, S. 1995b Stability of mixed-convection flow in a tall vertical channel under non-Boussinesq conditions. J. Fluid Mech. 302, 91-115.
    • (1995) J. Fluid Mech. , vol.302 , pp. 91-115
    • Suslov, S.A.1    Paolucci, S.2
  • 31
    • 84974065993 scopus 로고
    • On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
    • WATSON, J. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow. J. Fluid Mech. 9, 371-389.
    • (1960) J. Fluid Mech. , vol.9 , pp. 371-389
    • Watson, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.