Yihsin Tang

Date of Award


Degree Name

Master of Science in Engineering


Chemical and Paper Engineering

First Advisor

Dr. Dewei Qi

Second Advisor

Dr. James R. Springstead

Third Advisor

Dr. William W. Liou


A Flexible Filament, Drainage Rate, Lattice Boltzmann Equation, Lattice Spring Model, Immersed Boundary

Access Setting

Masters Thesis-Abstract Only

Restricted to Campus until



A forming process of a fiber mat over a filter or wire net/screen, which can move horizontally, is numerically simulated. A lattice Boltzmann equation is used to simulate fluid velocity, vorticity and structures and a lattice spring model is employed to mimic the collective motion of up to 750 flexible fibers, with aspect ratio of 20.

The interaction between the fluid and fibers is handled by an immersed boundary method. The fiber motion is driven by the hydrodynamic forces and the gravity of both fluid and solid fibers and disturbed by the horizontal shear force between the fluid and the moving screen. The number of fibers, fiber density, ratio of the relative velocity of wire/screen to fluid, fiber flexibility, and the screen opening ratio can be systematically varied at different levels. Their influence on drainage rate are computed and analyzed through simulation results.