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Theoretical investigation of capillary flow under gravity with micro-bead suspension

機譯：微珠懸浮液在重力作用下毛細管流動的理論研究

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In the present study, gravity assisted capillary transport of microbead suspension is investigated theoretically. An additional gravitational head from the reservoir which is placed at the top of the capillary is considered as pressure force at the inlet of capillary. The pressure field distribution at the inlet of capillary is deduced to calculate this inlet pressure force. The non-dimensional governing equation is derived by taking into account the surface, viscous and gravity forces which act on the fluid front. Presence of microbeads delays the capillary transport. It is observed from the numerical solution of the governing equation that, not only the aspect ratio of the capillary but the aspect ratio of reservoir also plays a vital role in the flow front transport in the capillary. Although higher fluid level in the reservoir has added advantage towards higher gravitational head, the resistance from reservoir makes the progress of the flow front movement slow at the beginning of the transport. The physical properties of the fluid also play an important role in deciding the progression fluid flow front.
機譯：在本研究中，理論上研究了重力輔助微珠懸浮液的毛細管運輸。來自儲液器的附加重力頭（位于毛細管頂部）被認為是毛細管入口處的壓力。推導(dǎo)毛細管入口處的壓力場分布，以計算該入口壓力。通過考慮作用在流體前沿的表面力，粘性力和重力來推導(dǎo)無量綱控制方程。微珠的存在延遲了毛細管的運輸。從控制方程的數(shù)值解可以看出，不僅毛細管的長徑比而且儲液器的長徑比在毛細管中的流動前沿傳輸中也起著至關(guān)重要的作用。盡管儲層中較高的液位在增加重力頭方面增加了優(yōu)勢，但儲層的阻力使流動前沿在運輸開始時的前進速度變慢。流體的物理特性在決定漸進流體流動前沿方面也起著重要作用。

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