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Presentations by groups 4, 6, 2 and 3

In this final lecture of the semester we look at the solution of HW 14 to illustrate the use of the method of lines for solving PDEs. There is also a comparison to the explicit method, the implicit…

In this last session of the semester we'll take a quick overview of the principle surfactant types found in commercial and industrial applications of surfactants, today. This session goes with…

We previously looked at using the Method of Lines to integrate the system of ordinary differential equations we obtain when we discretize a PDE in the spatial dimension. This enables us to use our RK…

In today's lecture we look at the scientific basis for the $100 B detergent industry and the closely associated industrial and institutional cleaning industries. These industries are large…

Here we introduce the method of lines as a straight-forward extension of the Runge-Kutta methods developed in chapters 8 and 9 to the solution of partial differential equations. We also discuss the…

In this session we discuss the mechanisms of foam formation and foam stability, which we explain in terms of film elasticity and film drainage. We look at the Gibbs/Marangoni effect and Plateau…

We continue our discussion of PDE solution methods with a discussion of the value of using dimensionless variables, and the pluses and minuses of this transformation of the PDE.

Illustrates the use of numerical derivatives to represent the solution to a partial differential equation using discrete points on a multidimensional grid.

A continuation of our discussion of dispersions including a look at points of zero charge and how knowledge of the point of zero charge effects selection of a surfactant to use as a dispersant.

Here we continue our discussion of dispersions, specifically, solids dispersed in liquids. We distinguish between colloidal or Brownian dispersions, where particles stay suspended by Brownian motion,…

In this session we look at my solutions to HW 13 and review the types of BVPs that might occur on your 3rd exam and final exam.

This session begins with wrapping up our discussion of emulsions by looking at the problem of emulsion breaking, then begins the discussion of dispersion stability.

In this class session we go over the solutions to HW 12 and then look at the solution to the ODE in HW 12 after converting it into a BVP. The point to be made, here, is that the same Runge-Kutta…

We continue our discussion of emulsions and microemulsions with a look at the HLB model and introduce HLD theory.

Here we look at using the same Runge-Kutta code we developed for solving 2nd order initial value problems (IVP) to solve a boundary value problem (BVP). The process is basically identical, but for…