Quantification in effective viscosity of fluid in a porous medium by brinkman equation
Kesar Singh, CV Gupta, RB Singh
The quantification of Brinkman’s effective viscosity, which arises due to the presence of the porous medium and its effect on increasing or decreasing the fluid viscosity in relation to the base fluid viscosity. In present investigation is motivated in the main part by the lack of consensus in the available literature on the ranges of effective viscosity. This work provides a model of quantifying the effective viscosity by incorporating the porous microstructure in the volume-averaged Navier-Stokes equations. Extensive analysis and testing are provided in the present work which considers three different porous microstructures.