The Brinkman viscosity for porous media exposed to a free flow
Abstrak
The Brinkman equation has found great popularity in modelling the interfacial flow between free fluid and a porous medium. However, it is still unclear how to determine an appropriate effective Brinkman viscosity without resolving the flow at the pore scale. Here, we propose to determine the Brinkman viscosity for rough porous media from the interface slip length and the interior permeability. Both slip and permeability can be determined from unit-cell analysis, thus enabling an a priori estimate of the effective viscosity. By comparing the velocity distribution in the porous material predicted from the Brinkman equation with that obtained from pore-scale resolved simulations, we show that modelling errors are $\sim 10\%$ and not larger than $40\%$. We highlight the physical origins of the obtained errors and demonstrate that the Brinkman model can be much more accurate for irregular porous structures.
Topik & Kata Kunci
Penulis (6)
Aidan Rinehart
U. Lacis
Shervin Bagheri Linn'e Flow Centre
Department of Engineering Mechanics Kth
Stockholm
Sweden.
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →- Tahun Terbit
- 2021
- Bahasa
- en
- Total Sitasi
- 1×
- Sumber Database
- Semantic Scholar
- Akses
- Open Access ✓