Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 54
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Knobloch, E. and Krechetnikov, R. 2014. Stability on Time-Dependent Domains. Journal of Nonlinear Science, Vol. 24, Issue. 3, p. 493.

    Emami Meybodi, Hamid and Hassanzadeh, Hassan 2013. Stability analysis of two-phase buoyancy-driven flow in the presence of a capillary transition zone. Physical Review E, Vol. 87, Issue. 3,

    Hennessy, Matthew G. and Münch, Andreas 2013. A Multiple-Scale Analysis of Evaporation Induced Marangoni Convection. SIAM Journal on Applied Mathematics, Vol. 73, Issue. 2, p. 974.

    Myint, Philip C. and Firoozabadi, Abbas 2013. Onset of buoyancy-driven convection in Cartesian and cylindrical geometries. Physics of Fluids, Vol. 25, Issue. 4, p. 044105.

    Niknami, Mohammad and E.Khayat, Roger 2013. Energy growth of disturbances in a non-Fourier fluid. International Journal of Heat and Mass Transfer, Vol. 67, p. 613.

    Singh, Jitender Hines, Evor and Iliescu, Daciana 2013. Global stability results for temperature modulated convection in ferrofluids. Applied Mathematics and Computation, Vol. 219, Issue. 11, p. 6204.

    Ihle, Christian F. and Niño, Yarko 2012. The onset of natural convection in lakes and reservoirs due to night time cooling. Environmental Fluid Mechanics, Vol. 12, Issue. 2, p. 133.

    Kim, Min Chan Chung, Tae Joon and Choi, Chang Kyun 2012. The onset of buoyancy-driven convection in a horizontal fluid layer heated suddenly from below. Chemical Engineering Science, Vol. 80, p. 148.

    Sun, Z.F. 2012. Onset of Rayleigh–Bénard–Marangoni convection with time-dependent nonlinear concentration profiles. Chemical Engineering Science, Vol. 68, Issue. 1, p. 579.

    Ihle, Christian F. and Niño, Yarko 2011. Stability of impulsively-driven natural convection with unsteady base state: implications of an adiabatic boundary. Physics Letters A, Vol. 375, Issue. 19, p. 1980.

    Singh, Jitender and Bajaj, Renu 2011. Convective instability in a ferrofluid layer with temperature-modulated rigid boundaries. Fluid Dynamics Research, Vol. 43, Issue. 2, p. 025502.

    Theofilis, Vassilios 2011. Global Linear Instability. Annual Review of Fluid Mechanics, Vol. 43, Issue. 1, p. 319.

    Kim, Min Chan 2010. Onset of buoyancy-driven convection in isotropic porous media heated from below. Korean Journal of Chemical Engineering, Vol. 27, Issue. 3, p. 741.

    Singh, Jitender 2010. Energy relaxation for transient convection in ferrofluids. Physical Review E, Vol. 82, Issue. 2,

    Slim, Anja C. and Ramakrishnan, T. S. 2010. Onset and cessation of time-dependent, dissolution-driven convection in porous media. Physics of Fluids, Vol. 22, Issue. 12, p. 124103.

    Hong, Joung Sook and Kim, Min Chan 2008. Effect of anisotropy of porous media on the onset of buoyancy-driven convection. Transport in Porous Media, Vol. 72, Issue. 2, p. 241.

    Hong, Joung Sook Kim, Min Chan Yoon, Do-Young Chung, Bum-Jin and Kim, Sin 2008. Linear stability analysis of a fluid-saturated porous layer subjected to time-dependent heating. International Journal of Heat and Mass Transfer, Vol. 51, Issue. 11-12, p. 3044.

    Kim, Min Chan Choi, Chang Kyun and Yoon, Do-Young 2008. Relaxation on the energy method for the transient Rayleigh–Bénard convection. Physics Letters A, Vol. 372, Issue. 26, p. 4709.

    Kim, Min Chan Yoon, Do-Young Moon, Joo Hyung and Choi, Chang Kyun 2008. Onset of Buoyancy-Driven Convection in Porous Media Saturated with Cold Water Cooled from Above. Transport in Porous Media, Vol. 74, Issue. 3, p. 369.

    Ihle, Christian F. and Niño, Yarko 2006. The onset of nonpenetrative convection in a suddenly cooled layer of fluid. International Journal of Heat and Mass Transfer, Vol. 49, Issue. 7-8, p. 1442.


Global stability of time-dependent flows: impulsively heated or cooled fluid layers

  • G. M. Homsy (a1)
  • DOI:
  • Published online: 01 March 2006

The method of energy is used to discuss the stability of time-dependent diffusive temperature profiles in fluid layers subject to impulsive changes in surface temperature.

Bounds for the ratio of disturbance energy production to dissipation are found to be parametric functions of time because the basic temperature develops through diffusion. This time dependence leads to the demarcation of regions of stability in a Rayleigh number-time plane and the interpretation of these regions is given. Numerical results are presented for the cases of impulsive heating and cooling of initialty isothermal fluid layers. New global stability results which give the Rayleigh number below which the diffusive solution to the Boussinesq equations is unique are reported for these cases.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *