Abstract
Problem statement: Investigation of fluid flow behavior through porou s media in a lid- driven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flo w. Results: In the current study, we found that the magnitude of velocity, strength of vortex and velocity boundary layer is significantly affected porosity o f the media. Conclusion: The lattice Boltzmann simulation scheme is capable in prediction of fluid flow behavior through porous media.
Highlights
Numerical and experiment investigations of the fluid flow through porous media are important for a wide range of situation varying from environmental applications to inkjet printing technology
Even though these two models have been widely used by many researchers, they are not general enough to be applicable for a medium with variable porosity
Nithiarasu et al (1997) proposed a generalized non-Darcian porous medium model, a combination of Brinkman and Forcheimer model and produced excellent results for natural convective heat transfer in a fluid saturated variable porosity medium when compared with the experimental data
Summary
Numerical and experiment investigations of the fluid flow through porous media are important for a wide range of situation varying from environmental applications to inkjet printing technology. In Forcheimer model, it considers the non-linear drag effect due to the solid matrix while the Brinkman model includes the viscous stress introduced by the solid boundary Even though these two models have been widely used by many researchers, they are not general enough to be applicable for a medium with variable porosity. For this reason, Nithiarasu et al (1997) proposed a generalized non-Darcian porous medium model, a combination of Brinkman and Forcheimer model and produced excellent results for natural convective heat transfer in a fluid saturated variable porosity medium when compared with the experimental data
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
