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The forced Duffing oscillator exhibits behavior ranging from limit cycles to chaos due to its nonlinear dynamics. When the periodic force that drives the system is large, chaotic behavior emerges and the phase space diagram is a strange attractor. In that case the behavior of the system is sensitive to the initial condition. In order to plot a PoincardoTe section, take one data point from phase space per period of the driving force. The...

The batch rectification unit consists of seven theoretical plates, a reboiler and a reflux drum. We fill the reboiler with a 2500 kmol of a mixture of acetone-methanol. Initially, the mixture contains a liquid mole fraction of acetone equal to 40...

The velocity and shear stress versus radial position are obtained for the laminar flow of a power-law fluid in a pipe. Pipe radius and applied pressure gradients can be set by the user. If you choose a power-law exponent, n, equal to 1 then a...

Three factors interfere in the determination of pellet mean size. These are the impeller speed, the binding solution and the pelletization time. We use experimental design (Doehlert design) to predict pellet mean size versus the three factors. We...

Stokesian Dynamics, a method developed by Brady and Bossis in the 80s, simulates the 3D motion of hydrodynamically interacting spheres at low Reynolds numbers. This program was originally written by Professor Ron Phillips during his PhD thesis at...

The three-variable autocatalator is a prototype of complex dynamical behavior. Indeed, period doubling and chaos are found when the bifurcation parameter, nu, is varied between 0.10 and 0.20.

The autocatalator's steps are the...

We compare computed temperature distributions using both pdepe and analytical solutions for different geometries (slab, cylinder and sphere). Solids are kept initially at uniform temperature. For t>0, the boundary surface is kept at constant...

The two programs computes residue curve maps for the methyl acetate and isopropyl acetate chemistries at atmospheric pressure. These calculations involve solving a complex system of differential algebraic equations (DAEs). This can be readily...

Newton number (also called the drag coefficient) and Archimedes number are plotted versus the Reynolds number for the laminar, transition and turbulent flow types using a log-log scale. A numerical example of the terminal fall velocity computation...

Professor Jim Wilkes provides representative values of the volumetric flow rate versus the applied pressure gradient for horizontal flow in a pipe [1]. The pipe radius is equal to 0.01 m. We use these representative values, in conjunction with the...