• 제목/요약/키워드: Fluid Approximation of the Biot Model

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깊이 방향의 변화가 있는 해저 퇴적물에서 반사 특성 (Wave Reflection from Porous Ocean Sediment With Depth Dependent Properties)

  • 이근화;성우제
    • The Journal of the Acoustical Society of Korea
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    • 제25권1E호
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    • pp.1-7
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    • 2006
  • This study examines the reflection characteristic of a thin transition layer of the ocean bottom showing variability with respect to depth. In order to model the surficial sediment simply, we reduce the Biot model to the depth dependent wave equation for the pseudo fluid using the fluid approximation (weak frame approximation). From the reduced equation, the difference between the inherent frequency dependency of the reflection and the frequency dependency resulting from a thin transition layer is investigated. Using Tang's depth porosity profile model of the surficial sediment [D. Tang et al., IEEE J. Oceanic Eng., vol.27(3), 546-560(2002)], we numerically simulated the reflection loss and investigated the contribution from both frequency dependencies. In addition, the effects of different sediment type and varying depth structure of the sediment are discussed.

대류가열 비정상 접촉융해에 대한 해석해 (An Analytical Solution for the Unsteady Close-Contact Melting by Convective Heating)

  • 유호선
    • 대한기계학회논문집B
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    • 제24권3호
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    • pp.450-458
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    • 2000
  • This study deals with the unsteady close-contact melting of solid blocks on a flat surface subject to convective heating. Normalizing the model equations in reference to the steady solution successfully leads them to cover constant heat flux and isothermal limits at small and large extremes of the Biot number, respectively. The resulting equations admit a compactly expressed analytical solution, which includes the previous solutions as a subset. Based on the steady solution, the characteristics of close-contact melting can be categorized into constant heat flux, transition, and isothermal regimes, the boundaries of which appear to be nearly independent of the contact force. The unsteady solutions corresponding to Biot numbers in the transition regime show intermediate behaviors between those of the two limits. With a proper approximation, the present solution procedure can cope with the case of variable fluid temperature and heat transfer coefficient. Regardless of imposed conditions, the mean normalized Nusselt number during the unsteady process asymptotically approaches to a constant value as the Biot number comes close to each limit.