Stability of an oscillatory shear flow in a differentially heated vertical channel

Chen, Y.C.

doi:10.1016/j.ijheatmasstransfer.2005.03.010

Cited by 5 publications

(1 citation statement)

References 22 publications

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“…Recently, advances in micro/nano technology provided many unique opportunities to fabricate miniaturized fluid devices, which have a variety of applications ranging from biomedical devices, lab-on-a-chip and other cases of practical interests [3] [11]. The dense integration of microfluidic components for the construction of compact and monolithic chip-sized laboratories and reaction systems requests to combine many different functions on the same substrate.…”

Section: Resultsmentioning

confidence: 99%

Complex Flow and Heat Transfer Behavior of Micro/nano Fluidics: Benard Convection Always Occurs in a NEMS World

Yang

Liu

2006

2006 1st IEEE International Conference on Nano/Micro Engineered and Molecular Systems

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In recent years, interest in the thermal-hydraulics at micro/nano scale keeps increasingly growing owning to the rapid technology thus enabled. It was now accepted that, the classical thermal or fluidic theories working well for "macro bulk systems" may become invalid for micro/nano scale geometry. On the contrary, some phenomena seldom occur in the large scale may frequently happen as a routine event in the small word. This study is aimed to theoretically predict a basic phenomenon that may always be encountered in the micro/nano fluidics devices, i.e. the previously well known Benard convection cell could easily be induced in a nano scale liquid film even by an extremely small temperature difference across such layer. It is this event that increases the complexity of the flow and heat transfer patterns in the MEMS/NEMS. Fundamental mechanisms related to this phenomenon will be interpreted and its implementations for developing useful tool will be suggested.

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Section: Resultsmentioning

confidence: 99%

Complex Flow and Heat Transfer Behavior of Micro/nano Fluidics: Benard Convection Always Occurs in a NEMS World

Yang

Liu

2006

2006 1st IEEE International Conference on Nano/Micro Engineered and Molecular Systems

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Heat transfer—A review of 2005 literature

Goldstein

Ibele

Patankar

et al. 2010

International Journal of Heat and Mass Transfer

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Steady and oscillatory laminar opposing mixed convection in a vertical channel of finite length subjected to symmetrical isothermal discrete heat sources

2015

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Transient laminar opposing mixed convection in a gravity driven downward flow confined inside a vertical rectangular channel has been investigated, with both walls suddenly subjected to symmetrical isothermal heat sources over a finite portion of the channel walls. The unsteady two-dimensional Navier-Stokes and energy equations have been solved numerically for a wide parametric set. Studies are carried out for Reynolds numbers of 100 and 200 and several values of buoyancy strength or Richardson number. The effect of Reynolds number and opposing buoyancy on the temporal evolution of the overall flow structure, temperature field, and Nusselt number from the heated surfaces is investigated using fixed geometrical parameters and considering heat losses to the channel walls. In this parameter space, for a given Reynolds number and relatively small values of the buoyancy parameter, the transient process leads to a final symmetric or asymmetric steady-state. However, as the value of buoyancy strength increases, the flow and temperature fields become more complex and an oscillatory flow with a fundamental frequency sets in when a critical value of the Richardson number is reached. Numerical predictions show that the critical value of the Richardson number between the two regimes strongly depends on the value of the Reynolds number, and the time scales, natural frequencies, and phase-space portraits of flow oscillation are presented and discussed in detail. Stability of the symmetric response has been analyzed. The results include the effects of Prandtl number and heat losses to the channel walls on the evolution of the final flow and thermal responses.

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Stability of an oscillatory shear flow in a differentially heated vertical channel

Cited by 5 publications

References 22 publications

Complex Flow and Heat Transfer Behavior of Micro/nano Fluidics: Benard Convection Always Occurs in a NEMS World

Complex Flow and Heat Transfer Behavior of Micro/nano Fluidics: Benard Convection Always Occurs in a NEMS World

Heat transfer—A review of 2005 literature

Steady and oscillatory laminar opposing mixed convection in a vertical channel of finite length subjected to symmetrical isothermal discrete heat sources

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