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Date of Award


Document Type

Campus Access Master's Thesis

Degree Name

Master of Science in Mechanical Engineering (MS)

Administrative Home Department

Department of Mechanical Engineering-Engineering Mechanics

Advisor 1

Song-Lin Yang

Committee Member 1

Sajjad Bigham

Committee Member 2

Susanta Ghosh


Lattice Boltzmann method is a meso-scale bottom-up approach of solving the Navier-Stokes and related transport equations in contrast to the conventional top-down approaches like the finite volume or finite element method. LBM has been used to simulate flow through porous media in the past due to its inherent capability to model complicated dynamic boundary conditions. In the current work, the Lattice Boltzmann method is used to simulate the transport phenomenon in porous media. The present study utilizes an incompressible Lattice Boltzmann approach thereby resulting in a more realistic simulation as most pore scale flows are incompressible in nature. The disquisition focuses on application of the incompressible LBM to Diesel particulate filters. Using computer based virtual porous media capable of generating filter substrates with varied porosities, flow through Diesel Particulate filters is simulated. Several verification tools such as Darcy's law, the Ergun equation and the Koponen correlation are employed. The study also results in the proposition of a new semi-empirical correlation between porosity and permeability for particulate filters. Results are also compared with experimental data in literature. In addition to this, the i-LBM is also used to simulate the soot accumulation or deposition phenomenon modeled using a parametric probabilistic model capturing the essential physics of soot accumulation like deep bed filtration and soot cake formation. A parametric study of the phenomenon is conducted with the results thoroughly analyzed and discussed.