Wolfram Mathworld Integrator

Optional Whizzywig can be downloaded and put into the module folder.InstallationUnpack in your modules folder (usually /sites/all/modules/) and enable under Administer > Site Building > Modules. Key features "Whizzywig": - Javascript powered WYSIWYG editor - very lightweight - cross-browser...

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 of a single spherical particle in a Newtonian...

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...


Platforms: Matlab

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 analytical expression of the volumetric flow...


Platforms: Matlab

Flow past a wedge is governed by the Falkner-Skan equation. This equation admits only numerical solution, which requires the application of the shooting technique. The program plots the velocity for various wedge angles. The result obtained is in agreement with figure 8-10 in page 352 of Deen's...


Platforms: Matlab

The program computes the number of equilibrium stages for a binary ideal mixture with relative volatility equal to 2.45. The feed is a two phase mixture with a feed quality is equal to 0.85. The distillate, feed and bottom mole fractions are 0.9, 0.5 and 0.1, respectively. The reflux ratio is...


Platforms: Matlab

The program computes the tie lines, the operating and mixing points and the number of equilibrium stages using the Hunter and Nash graphical method of a liquid-liquid extraction problem. One feed of acetic acid (35 wt %) in water which flow rate = 1000 kg/hr is extracted using a solvent...


Platforms: Matlab

In the programs, we perform flash calculations of a mixture of hydrocarbons (ethane, propane, n-butane and n-pentane) using the Rachford-Rice equation. The phi-phi method, based on the SRK equation of state, is used to compute the equilibrium constants. We also find the True Vapor Pressure. All...


Platforms: Matlab

Two quaternary systems are studied: (1) Acetic Acid - Ethanol - Water- Ethyl Acetate and (2) Acetic Acid - Butanol - Water- Butyl Acetate. In these two systems, liquid phase esterification occurs. The residue curve map is computed using the UNIQUAC model and gas phase acetic acid dimerization....


Platforms: Matlab

The inversion of Laplace transforms is performed using two methods: (1) the Zakian method and (2) the Fourier series approximation. Results are in agreement with analytical solutions. The Zakian method presents problems for transcendental functions. The Fourier series gives better results when...


Platforms: Matlab

The program computes the velocity and temperature profiles for free convection past an isothermal vertical plate. Results are obtained after solving two coupled nonlinear differential equations. The shooting method is used to obtain the boundary conditions, required to solve the coupled ODEs,...


Platforms: Matlab

The programs compute the bifurcation diagram for the cubic map and a realistic population dynamics model. The value of parameter r, when the cycle of period three appears, is indicated. As expected, for higher values of r, we observe chaotic behaviour. Both models are given in the problems?...


Platforms: Matlab

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 determine the quadratic model by multi-linear...


Platforms: Matlab

We use a batch column with four theoretical plates to separate a binary mixture of water and methanol at 1 bar. Temperature and concentration profiles versus time are obtained for a reflux ratio equal to 10. In addition, the total moles in the still and distillate are plotted versus time. This...


Platforms: Matlab

The code uses the SRK EOS written for a single component to plot isotherms, compute gas and liquid molar volumes and to plot vapor pressure versus temperature for ethane.Please visit these links for a paper by Z. Nasri and H. Binous where all equations are given as well as the same calculations...


Platforms: Matlab

We use the SRK equation of state to compute the correction factor due to gas-phase nonideality as a result of the high pressure applied in the ammonia synthesis. We also compute the extent of reaction. Plots of these two quantities versus pressure for temperature equal to 800K are presented. The...


Platforms: Matlab

Gas absorption is a very ubiquitous unit operation in any chemical plant. It has in common with liquid-liquid extraction that there are two carrier streams and one solute to be partioned between them. Here, we use the McCabe and Thiele graphical method to study the separation of acetone from air....


Platforms: Matlab

We would like to rise water temperature with a heater. Oulet temperature must be equal to the set point temperature (80dlT-C). Proportional (P), Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) control are used and the respective results are compared. Inlet water temperature...


Platforms: Matlab

It is a new block simulink Phase Loop Control called the PLLVI1.The PLL control is utilized to synthetize frequency or phase control.You set a frequency input signal and VCOVI1,the volt control oscillator block simulink track the frequency input signal.The program has a problem of dimension of an...


Platforms: Matlab

The program shows how to plot figure 14.4 page 248 presented in T. L. Hill, An Introduction to Statistical Thermodynamics, Dover, New York, 1986. The Bragg-Williams approximation gives pressure-volume isotherms similar to those obtained using the van der Waals equation and it predicts first-order...


Platforms: Matlab