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Presentations by groups 4, 6, 2 and 3
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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…
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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…
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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…
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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…
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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…
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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…
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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.
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Illustrates the use of numerical derivatives to represent the solution to a partial differential equation using discrete points on a multidimensional grid.
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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.
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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,…
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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.
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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.
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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…
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We continue our discussion of emulsions and microemulsions with a look at the HLB model and introduce HLD theory.
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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…
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