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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...

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...

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

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 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

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

The program allows one to choose the best reactor setup among three alternatives: (1) a plug flow reactor with recycle, (2) a combination of a plug flow reactor and a stirred tank reactor in series and (3) two stirred tank reactors in series. This problem was solved graphically by O. Levenspiel...


Platforms: Matlab

In the program, we obtain equilibrium constants, compressibility factors, molar volumes and densities using the Soave-Redlich-Kwong equation of state. We find the same results as those given by Henley and Seader in Equilibrium-Stage Separation Operations in Chemical Engineering, Wiley, 1981...


Platforms: Matlab

The code computes the velocity profile for the vertical laminar flow of a Bingham fluid down a wall. As expected the profile is flat near the surface of the liquid film. In fact, we have a zero velocity gradient only when the shear stress is large enough (superior to tau0). This behaviour is...


Platforms: Matlab

The velocity and shear stress versus radial position are determined for laminar flow of a Carreau fluid in a pipe. The shooting method is used to verify the no-slip boundary condition at the piped-deOaos wall. Once the velocity at the center is determined, the governing Differential Algebraic...


Platforms: Matlab

Set of functions providing the attenuation and energy absorption coefficients of x-ray and gamma-ray photons in various materials, based on NIST report 5632, by J. Hubbell and S.M. Seltzer.X = PhotonAttenuation(Material, Energy, Options, Thickness)Function providing the attenuation and energy...


Platforms: Matlab

In the program, an example from the field of nonlinear chemical dynamics is presented. Governing equation and reaction scheme can be found in G. Nicolis, Dynamique Chimique, Thermodynamique, cindoTetique et mdoTecanique statistique, Dunod, Paris 2005. We use the arc length continuation method to...


Platforms: Matlab

Computation of the residue curve map for the MTBE chemistry is presented in the program. The equilibrium, taking place in the liquid phase, transforms methanol and isobutene into MTBE with n-butane being an inert component. Thermodynamic data can be found in the excellent paper by Niang and...


Platforms: Matlab