메뉴 건너뛰기




Volumn 11, Issue 9, 1999, Pages 2516-2538

Multiplicity of equilibrium states in laterally heated thermosolutal systems with equal diffusivity coefficients

(1)  Tsitverblit, N a,b  

b NONE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042419442     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870115     Document Type: Article
Times cited : (9)

References (37)
  • 1
    • 0000008934 scopus 로고
    • Lateral mixing of water masses
    • 1M. E. Stern, "Lateral mixing of water masses," Deep-Sea Res. 14, 747 (1967).
    • (1967) Deep-Sea Res. , vol.14 , pp. 747
  • 2
    • 0000147111 scopus 로고
    • Double diffusion in oceanography
    • R. W. Schmitt, "Double diffusion in oceanography," Annu. Rev. Fluid Mech. 26, 255 (1994).
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 255
    • Schmitt, R.W.1
  • 3
    • 0014662726 scopus 로고
    • The effect of horizontal gradients on thermohaline convection
    • S. A. Thorpe, P. K. Hutt, and R. Soulsby, "The effect of horizontal gradients on thermohaline convection," J. Fluid Mech. 38, 375 (1969).
    • (1969) J. Fluid Mech. , vol.38 , pp. 375
    • Thorpe, S.A.1    Hutt, P.K.2    Soulsby, R.3
  • 4
    • 0000787915 scopus 로고
    • On sideways diffusive instability
    • J. E. Hart, "On sideways diffusive instability," J. Fluid Mech. 49, 279 (1971).
    • (1971) J. Fluid Mech. , vol.49 , pp. 279
    • Hart, J.E.1
  • 5
    • 84976038716 scopus 로고
    • Finite amplitude sideways diffusive convection
    • J. E. Hart, "Finite amplitude sideways diffusive convection," J. Fluid Mech. 59, 47 (1973).
    • (1973) J. Fluid Mech. , vol.59 , pp. 47
    • Hart, J.E.1
  • 6
    • 0019634204 scopus 로고
    • Transition from shear to sideways diffusive instability in a vertical slot
    • S. Thangam, A. Zebib, and C. F. Chen, "Transition from shear to sideways diffusive instability in a vertical slot," J. Fluid Mech. 112, 151 (1981).
    • (1981) J. Fluid Mech. , vol.112 , pp. 151
    • Thangam, S.1    Zebib, A.2    Chen, C.F.3
  • 7
    • 0024751363 scopus 로고
    • Heating a salinity gradient from a vertical sidewall: Linear theory
    • O. S. Kerr, "Heating a salinity gradient from a vertical sidewall: linear theory," J. Fluid Mech. 207, 323 (1989).
    • (1989) J. Fluid Mech. , vol.207 , pp. 323
    • Kerr, O.S.1
  • 8
    • 0025474275 scopus 로고
    • Heating a salinity gradient from a vertical sidewall: Nonlinear theory
    • O. S. Kerr, "Heating a salinity gradient from a vertical sidewall: nonlinear theory," J. Fluid Mech. 217, 529 (1990).
    • (1990) J. Fluid Mech. , vol.217 , pp. 529
    • Kerr, O.S.1
  • 9
    • 0346403255 scopus 로고
    • Stability of thermal convection in a salinity gradient due to lateral heating
    • C. F. Chen, D. G. Briggs, and R. A. Wirtz, "Stability of thermal convection in a salinity gradient due to lateral heating," Int. J. Heat Mass Transf. 14, 57 (1971).
    • (1971) Int. J. Heat Mass Transf. , vol.14 , pp. 57
    • Chen, C.F.1    Briggs, D.G.2    Wirtz, R.A.3
  • 10
    • 0000484715 scopus 로고
    • Physical and numerical experiments on layered convection in a density-stratified fluid
    • R. A. Wirtz, D. G. Briggs, and C. F. Chen, "Physical and numerical experiments on layered convection in a density-stratified fluid," Geophys. Fluid Dyn. 3, 265 (1972).
    • (1972) Geophys. Fluid Dyn. , vol.3 , pp. 265
    • Wirtz, R.A.1    Briggs, D.G.2    Chen, C.F.3
  • 11
    • 79955474510 scopus 로고
    • Ice blocks melting into a salinity gradient
    • H. E. Huppert and J. S. Turner, "Ice blocks melting into a salinity gradient," J. Fluid Mech. 100, 367 (1980).
    • (1980) J. Fluid Mech. , vol.100 , pp. 367
    • Huppert, H.E.1    Turner, J.S.2
  • 12
    • 5944251255 scopus 로고
    • On the merging of double-diffusive convection cells at a vertical boundary
    • O. S. Kerr, "On the merging of double-diffusive convection cells at a vertical boundary," Phys. Fluids A 4, 2923 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 2923
    • Kerr, O.S.1
  • 13
    • 0025433759 scopus 로고
    • Confined natural convection due to lateral heating in a stably stratified solution
    • J. Lee, M. T. Hyun, and Y. S. Kang, "Confined natural convection due to lateral heating in a stably stratified solution," Int. J. Heat Mass Transf. 33, 869 (1990).
    • (1990) Int. J. Heat Mass Transf. , vol.33 , pp. 869
    • Lee, J.1    Hyun, M.T.2    Kang, Y.S.3
  • 14
    • 48849107803 scopus 로고
    • The dynamics and structure of double-diffusive layers in sidewall-heating experiments
    • J. Tanny and A. B. Tsinober, "The dynamics and structure of double-diffusive layers in sidewall-heating experiments," J. Fluid Mech. 196, 135 (1988).
    • (1988) J. Fluid Mech. , vol.196 , pp. 135
    • Tanny, J.1    Tsinober, A.B.2
  • 15
    • 0026082426 scopus 로고
    • Experimental study of double-diffusive instability in sidewall heating
    • C. G. Jeevaraj and J. Imberger, "Experimental study of double-diffusive instability in sidewall heating," J. Fluid Mech. 222, 565 (1991).
    • (1991) J. Fluid Mech. , vol.222 , pp. 565
    • Jeevaraj, C.G.1    Imberger, J.2
  • 16
    • 33645938213 scopus 로고
    • The dynamics of intrusions into a thermohaline stratification
    • S. G. Schladow, E. Thomas, and J. R. Koseff, "The dynamics of intrusions into a thermohaline stratification," J. Fluid Mech. 236, 127 (1992).
    • (1992) J. Fluid Mech. , vol.236 , pp. 127
    • Schladow, S.G.1    Thomas, E.2    Koseff, J.R.3
  • 17
    • 84992261186 scopus 로고
    • The multiplicity of steady flows in confined double-diffusive convection with lateral heating
    • N. Tsitverblit and E. Kit, "The multiplicity of steady flows in confined double-diffusive convection with lateral heating," Phys. Fluids A 5, 1062 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 1062
    • Tsitverblit, N.1    Kit, E.2
  • 18
    • 0029105967 scopus 로고
    • Bifurcation phenomena in confined thermosolutal convection with lateral heating: Commencement of the double-diffusive region
    • N. Tsitverblit, "Bifurcation phenomena in confined thermosolutal convection with lateral heating: Commencement of the double-diffusive region," Phys. Fluids 7, 718 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 718
    • Tsitverblit, N.1
  • 19
    • 0030222414 scopus 로고    scopus 로고
    • A bifurcation study of double diffusive flows in a laterally heated stably stratified liquid layer
    • H. A. Dijkstra and E. J. Kranenborg, "A bifurcation study of double diffusive flows in a laterally heated stably stratified liquid layer," Int. J. Heat Mass Transf. 39, 2699 (1996).
    • (1996) Int. J. Heat Mass Transf. , vol.39 , pp. 2699
    • Dijkstra, H.A.1    Kranenborg, E.J.2
  • 20
    • 0027061320 scopus 로고
    • Multiple equilibria in two-dimensional thermohaline circulation
    • P. Cessi and W. R. Young, "Multiple equilibria in two-dimensional thermohaline circulation," J. Fluid Mech. 241, 291 (1992).
    • (1992) J. Fluid Mech. , vol.241 , pp. 291
    • Cessi, P.1    Young, W.R.2
  • 21
    • 0002699194 scopus 로고
    • The catastrophe structure of thermohaline convection in a two-dimensional fluid model and a comparison with low-order box models
    • O. Thual and J. McWilliams, "The catastrophe structure of thermohaline convection in a two-dimensional fluid model and a comparison with low-order box models," Geophys. Astrophys. Fluid Dyn. 64, 67 (1992).
    • (1992) Geophys. Astrophys. Fluid Dyn. , vol.64 , pp. 67
    • Thual, O.1    McWilliams, J.2
  • 22
    • 0027084284 scopus 로고
    • Multiple equilibria in thermosolutal convection due to salt-flux boundary conditions
    • C. Quon and M. Ghil, "Multiple equilibria in thermosolutal convection due to salt-flux boundary conditions," J. Fluid Mech. 245, 449 (1992).
    • (1992) J. Fluid Mech. , vol.245 , pp. 449
    • Quon, C.1    Ghil, M.2
  • 23
    • 0028873610 scopus 로고
    • Multiple equilibria and stable oscillations in thermosolutal convection at small aspect ratio
    • C. Quon and M. Ghil, "Multiple equilibria and stable oscillations in thermosolutal convection at small aspect ratio," J. Fluid Mech. 291, 33 (1995).
    • (1995) J. Fluid Mech. , vol.291 , pp. 33
    • Quon, C.1    Ghil, M.2
  • 24
    • 0031004675 scopus 로고    scopus 로고
    • Symmetry breaking and overturning oscillations in thermohaline-driven flows
    • H. A. Dijkstra and M. J. Molemaker, "Symmetry breaking and overturning oscillations in thermohaline-driven flows," J. Fluid Mech. 331, 169 (1997).
    • (1997) J. Fluid Mech. , vol.331 , pp. 169
    • Dijkstra, H.A.1    Molemaker, M.J.2
  • 25
    • 0022178081 scopus 로고
    • The thermohaline circulation and the control of ice ages
    • G. Walin, "The thermohaline circulation and the control of ice ages," Palaeogeogr. Palaeoclimatol. Palaeoecol. 50, 323 (1985).
    • (1985) Palaeogeogr. Palaeoclimatol. Palaeoecol. , vol.50 , pp. 323
    • Walin, G.1
  • 26
    • 0000248310 scopus 로고
    • Thermohaline convection with two stable regimes of flow
    • H. Stommel, "Thermohaline convection with two stable regimes of flow," Tellus 13, 224 (1961).
    • (1961) Tellus , vol.13 , pp. 224
    • Stommel, H.1
  • 27
    • 84981573580 scopus 로고
    • A new type of double-diffusive instability?
    • P. Welander, "A new type of double-diffusive instability?" Tellus, Ser. A 41, 66 (1989).
    • (1989) Tellus, Ser. A , vol.41 , pp. 66
    • Welander, P.1
  • 29
    • 0343948944 scopus 로고    scopus 로고
    • On the nature of direct instabilities in double-component convection with different boundary conditions
    • N. Tsitverblit, "On the nature of direct instabilities in double-component convection with different boundary conditions," Phys. Fluids 9, 2458 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 2458
    • Tsitverblit, N.1
  • 30
    • 5944261754 scopus 로고    scopus 로고
    • On the nature of instabilities and multiple equilibrium states in confined thermosolutal convection with lateral heating
    • Japan, August 25-31, Abstracts
    • N. Tsitverblit, "On the nature of instabilities and multiple equilibrium states in confined thermosolutal convection with lateral heating," Presented at the XIXth International Congress of Theoretical and Applied Mechanics Kyoto, Japan, August 25-31, 1996, Abstracts, p. 427.
    • (1996) XIXth International Congress of Theoretical and Applied Mechanics Kyoto , pp. 427
    • Tsitverblit, N.1
  • 31
    • 5944224569 scopus 로고    scopus 로고
    • Multiplicity of the equilibrium states in laterally heated thermosolutal systems with and without the difference in the diffusivity coefficients
    • Woods Hole Oceanographic Institution, Technical Report No. WHOI-97-10 356-360
    • N. Tsitverblit, "Multiplicity of the equilibrium states in laterally heated thermosolutal systems with and without the difference in the diffusivity coefficients," Double-diffusive processes, Proceedings of the 1996 GFD Summer Program, Woods Hole Oceanographic Institution, Technical Report No. WHOI-97-10 356-360, 1997.
    • (1997) Double-diffusive Processes, Proceedings of the 1996 GFD Summer Program
    • Tsitverblit, N.1
  • 32
    • 0000276399 scopus 로고
    • Numerical solution of bifurcation and nonlinear eigenvalue problems
    • edited by P. H. Rabinowitz Academic, New York
    • H. B. Keller, "Numerical solution of bifurcation and nonlinear eigenvalue problems," in Applications of Bifurcation Theory, edited by P. H. Rabinowitz (Academic, New York, 1977), pp. 359-384.
    • (1977) Applications of Bifurcation Theory , pp. 359-384
    • Keller, H.B.1
  • 33
    • 84958435999 scopus 로고
    • The boundary-layer regime for convection in a rectangular cavity
    • A. E. Gill, "The boundary-layer regime for convection in a rectangular cavity," J. Fluid Mech. 26, 515 (1966).
    • (1966) J. Fluid Mech. , vol.26 , pp. 515
    • Gill, A.E.1
  • 34
    • 0004863404 scopus 로고
    • Numerical experiments on the onset of layered convection in a narrow slot containing a stably stratified fluid
    • R. A. Wirtz and L. H. Liu, "Numerical experiments on the onset of layered convection in a narrow slot containing a stably stratified fluid," Int. J. Heat Mass Transf. 18, 1299 (1975).
    • (1975) Int. J. Heat Mass Transf. , vol.18 , pp. 1299
    • Wirtz, R.A.1    Liu, L.H.2
  • 35
    • 84958433485 scopus 로고
    • Laminar free convection in a vertical slot
    • J. W. Elder, "Laminar free convection in a vertical slot," J. Fluid Mech. 23, 77 (1965).
    • (1965) J. Fluid Mech. , vol.23 , pp. 77
    • Elder, J.W.1
  • 36
    • 0003270066 scopus 로고
    • Singularities and Groups in Bifurcation Theory
    • Springer-Verlag, New York
    • M. Golubitsky and D. G. Schaeffer, "Singularities and Groups in Bifurcation Theory," Applied Mathematical Sciences 51 (Springer-Verlag, New York, 1985), Vol. 1.
    • (1985) Applied Mathematical Sciences 51 , vol.1
    • Golubitsky, M.1    Schaeffer, D.G.2
  • 37
    • 0024140013 scopus 로고
    • Numerical calculations of the primary-flow exchange process in the Taylor problem
    • K. A. Cliffe, "Numerical calculations of the primary-flow exchange process in the Taylor problem," J. Fluid Mech. 197, 57 (1988).
    • (1988) J. Fluid Mech. , vol.197 , pp. 57
    • Cliffe, K.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.