Darcy Flow Through a Bumpy Channel due to the Y-direction Pressure Gradient
碩士 === 國立中正大學 === 數學系應用數學研究所 === 105 === The forced flow due to the y-direction pressure gradient through a channel with bumpy walls which sandwich a porous medium is studied. The problem models micro-fluidics where, due to the small size of the channel width, the surface roughness of the walls is a...
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| Format: | Others |
| Language: | en_US |
| Published: |
2017
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| Online Access: | http://ndltd.ncl.edu.tw/handle/ej6q6v |
| Summary: | 碩士 === 國立中正大學 === 數學系應用數學研究所 === 105 === The forced flow due to the y-direction pressure gradient through a channel with bumpy walls which sandwich a porous medium is studied. The problem models micro-fluidics where, due to the small size of the channel width, the surface roughness of the walls is amplified. We use perturbation method to solve the Darcy equation. The first-order perturbation solutions give the three-dimensional velocity effects of the bumpiness and the second-order perturbation solutions give the increased resistance due to the roughness. Our solutions give the flow rate, or inversely the resistance, of the porous bumpy channel.
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