By Ralph E. White

ISBN-10: 3642043100

ISBN-13: 9783642043109

This e-book is helping chemical and different engineers enhance their talents for fixing mathematical types utilizing Maple. those mathematical versions can include platforms of algebraic, usual, and partial differential equations. Maple’s ‘dsolve’ is used to procure options for lots of of those types. Maple worksheets are supplied at the Springer site to be used by means of readers to unravel the instance difficulties during this ebook. simply click digital Supplementary fabric and insert the ISBN.

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Extra resources for Computational methods in chemical engineering with Maple

Example text

Are too long to present here. They are functions of the rate constants (k1, k2, k3, and k4) and the independent variable t. One can obtain the solution from the CD with this book by changing the colons to semicolons at the end of the command line in the worksheet. 1, the solution obtained can be plotted for a particular set of values for the rate constants. Let’s set these to be the same as those used on page 282 of Constantinides and Mostoufi. }; Obtain the concentrations as functions of time by substituting these values for the rate constants into the components of the solution vector: 40 2 Initial Value Problems > Ca:=subs(pars,ca); > Cb:=subs(pars,cb); > Cc:=subs(pars,cc); Plot the results.

Find the time it will take for the third tank to reach 99% of its steady state value. The values of the constants are W = 100 kg/min, M = 1000 kg, Cp = 2kJ/kg°C, and UA = 10kJ/min°C. Determine how this time varies with the parameters α and β. 17)) can be solved using Maple and the procedure described above for nonhomogeneous simultaneous linear ODEs follows. 3. Heating of Fluid in a Series of Tanks > restart: > with(linalg):with(plots): Enter the number of differential equations. > N:=3; Since all the equations are in the same form, a 'for' loop can be used to generate the equations.

Mat:=exponential(A,t): Set the initial conditions vector: > Y0:=matrix(3,1,[1,0,0]); Obtain the solution. > sol:=evalm(mat&*Y0): Pull out the components of the solution. ) are too long to present here. They are functions of the rate constants (k1, k2, k3, and k4) and the independent variable t. One can obtain the solution from the CD with this book by changing the colons to semicolons at the end of the command line in the worksheet. 1, the solution obtained can be plotted for a particular set of values for the rate constants.