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- 저자 : Faria Rehman (검색결과 1 건)
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Effect of eigenvalue solution on the characteristics of double diffusive salt fingers
Faria Rehman,Manoj Dhiman,O. P. Singh 대한기계학회 2016 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.30 No.6
Double diffusive finger convection is driven by the varying diffusivity of the two components, contributing to the density variation. When the faster diffusing component heat stabilizes the system, and slow diffusing component salinity destabilizes the system with the overall density stratification remaining stable, the convection takes the form of rising and sinking fingers, which are known as salt fingers. We considered previous theories on the salt fingers’ growth rate, and show how different approaches to solve the same Eigen value equation lead to a different prediction of finger characteristics. We precisely solved the Eigen value growth rate equations, and show that the assumptions taken in the previous theories lead to unphysical system behavior in the limit of density ratio approaching unity. We show that the finger system becomes transient in this limit, and steady state assumption is not a valid approximation. Furthermore, other theories have also been proposed, and wide fingers are generally believed to transport larger fluxes when compared with thin fingers. In this paper, we show through numerical simulation that the assumption of wide finger-large flux ratio is not physically consistent in light of recent findings.
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