The present paper purports to deal with the problem of triply diffusive convection in sparsely distributed porous medium using the Darcy-Brinkman model. Bounds are derived for the modulus of the complex growth rate p of an arbitrary oscillatory perturbation of growing amplitude, neutral or unstable for this configuration of relevance in oceanography, geophysics as well as in many engineering applications. These bounds are obtained by deriving the integral estimates for the various physical quantities by exploiting the coupling between them in the governing equations; and are important especially when at least one boundary is rigid so that exact solutions in the closed form are not obtainable. It is further proved that the result obtain herein is uniformly valid for any combination of rigid and dynamically free boundaries.
This work is licensed under CC-BY 4.0
This work is licensed under CC-BY 4.0
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https://doi.org/10.1016/j.jaubas.2015.12.002Altmetric score:
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TI - On the limitations of linear growth rates in triply diffusive convection in porous medium
AU - Prakash, J.
AU - Singh, V.
AU - Manan, S.
AB - The present paper purports to deal with the problem of triply diffusive convection in sparsely distributed porous medium using the Darcy-Brinkman model. Bounds are derived for the modulus of the complex growth rate p of an arbitrary oscillatory perturbation of growing amplitude, neutral or unstable for this configuration of relevance in oceanography, geophysics as well as in many engineering applications. These bounds are obtained by deriving the integral estimates for the various physical quantities by exploiting the coupling between them in the governing equations; and are important especially when at least one boundary is rigid so that exact solutions in the closed form are not obtainable. It is further proved that the result obtain herein is uniformly valid for any combination of rigid and dynamically free boundaries.
PY - 2016
UR - https://www.cifor-icraf.org/knowledge/publication/32394/
DO - https://doi.org/10.1016/j.jaubas.2015.12.002
KW - concentration rayleigh number, darcy-brinkman model, engineering geology, fluid, porous medium, temperature, triply diffusive convection, viscosity
ER -Endnote (.ciw)
%T On the limitations of linear growth rates in triply diffusive convection in porous medium
%A Prakash, J.
%A Singh, V.
%A Manan, S.
%D 2016
%U https://www.cifor-icraf.org/knowledge/publication/32394/
%R https://doi.org/10.1016/j.jaubas.2015.12.002
%X The present paper purports to deal with the problem of triply diffusive convection in sparsely distributed porous medium using the Darcy-Brinkman model. Bounds are derived for the modulus of the complex growth rate p of an arbitrary oscillatory perturbation of growing amplitude, neutral or unstable for this configuration of relevance in oceanography, geophysics as well as in many engineering applications. These bounds are obtained by deriving the integral estimates for the various physical quantities by exploiting the coupling between them in the governing equations; and are important especially when at least one boundary is rigid so that exact solutions in the closed form are not obtainable. It is further proved that the result obtain herein is uniformly valid for any combination of rigid and dynamically free boundaries.
%K concentration rayleigh number
%K darcy-brinkman model
%K engineering geology
%K fluid
%K porous medium
%K temperature
%K triply diffusive convection
%K viscosity
Publication year
2016
ISSN
1815-3852
Authors
Prakash, J.; Singh, V.; Manan, S.
Language
English
Keywords
concentration rayleigh number, darcy-brinkman model, engineering geology, fluid, porous medium, temperature, triply diffusive convection, viscosity
Source
Journal of the Association of Arab Universities for Basic and Applied Sciences. 22:
