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多孔介质期刊
影响因子: 1.752 5年影响因子: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

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多孔介质期刊

DOI: 10.1615/JPorMedia.v19.i8.50
pages 723-735

ONSET OF BUOYANCY-DRIVEN CONVECTION IN A CYLINDRICAL POROUS LAYER SATURATED WITH LARGE VISCOSITY VARIATION LIQUID

Jong Dae Lee
Department of Chemical Engineering, Chungbuk National University, Chungbuk 28644, Republic of Korea
Min Chan Kim
Department of Chemical Engineering, Jeju National University, Jeju 63243, Republic of Korea

ABSTRACT

A stability analysis on the buoyancy-driven convection under the transient concentration fields is conducted in an initially quiescent, liquid-saturated, and cylindrical porous layer with gas diffusion from below. Darcy's law and the Boussinesq approximation are used to explain the characteristics of fluid motion and linear stability theory is employed to predict the onset of buoyancy-driven motion. The viscosity variation of liquid with the dissolved concentration is approximated by employing the Frank−Kamenetskii approximation. The linear stability equations are derived in the selfsimilar domain and solved without the quasi-steady-state approximation. The present predictions suggest the critical RaD, which is quite different from the previous ones. The onset time becomes shorter with increasing RaD and follows the asymptotic relation derived in the infinite horizontal porous layer. The viscosity variation effect makes the system unstable and accelerates the onset of convection.


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