Binan Gu

Worcester Polytechnic Institute | WPI · Department of Mathematical Sciences

Pore-size gradients are often used in the design of membrane filters to increase filter lifetime and ensure fuller use of the initial membrane pore volume. In this work, we impose pore-size gradients in the setting of a membrane filter with an internal network of interconnected tubelike pores. We model the flow and foulant transport through the fil...

Pore-size gradients are often used in the design of membrane filters to increase filter lifetime and ensure fuller use of the initial membrane pore volume. In this work, we impose pore-size gradients in the setting of a membrane filter with an internal network of interconnected tube-like pores. We model the flow and foulant transport through the fi...

The initial position and velocity of a robot is given, and the problem posed is to make it stop at the origin in the shortest possible time, given a maximum acceleration and speed. The robot can control its acceleration vector, and hence the full optimization problem can be specified as a Hamiltonian system where the solution will minimize the tran...

The initial position and velocity of a robot is given, and the problem posed is to make it stop at the origin in the shortest possible time, given a maximum acceleration and speed. The optimization problem for the acceleration direction is solved numerically and analytically with both local and global optimization techniques.

We model porous membrane filters as networks of connected cylindrical pores via a random network generation protocol, and their initial pore radii via a uniform distribution of widths that vary about some mean value. We investigate the influence of network and pore size (radius) variations on the performance of membrane filters that undergo adsorpt...

We model porous membrane filters as networks of connected cylindrical pores via a random network generation protocol, and their initial pore radii via a uniform distribution of widths that vary about some mean value. We investigate the influence of network and pore size (radius) variations on the performance of membrane filters that undergo adsorpt...

We analyze the performance of membrane filters represented by pore networks using two criteria: 1) total volumetric throughput of filtrate over the filter lifetime and 2) accumulated foulant concentration in the filtrate. We first formulate the governing equations of fluid flow on a general network, and we model transport and adsorption of particle...

Mathematical Problems in Industry Workshop