Plotting with Maple

Maples (1993) derived similar correlations based on conunercial and pilot plants at typical operating conditions. The database corresponds to straight-run residues with API gravity and CCR content ranging from 1.4 and 2.5 and 2.84 and 25.5 wt%, respectively. Linear plots to determine product yields in weight percent were reported, from which the following correlations were obtained. A correlation for naphtha yield can be developed from the plot however, Maples (1993) suggested its calculation by difference ... 

Note that plotting of potential energy functions can be done with a conventional mathematics or table calculation program such as Mathematica , Maple , Excel , etc. 

Call Maple s plotting package by using the with(plots) command. 

When the above procedure was used to calculate the exponential matrix for example 7.1, the time taken for N=40 interior node points was less than 30 seconds. For the same number of node points, Maple takes more than 5 minutes to calculate the exponential matrix in a 2.6Ghz processor with 2 GB RAM. The 3-D plot obtained for example 7.1 with N=40 node points is given below ... 

Equation (8.18) is solved in Maple below >restart with(inttrans) with(plots) ... 

Fig. 16. Temperature dependence of the Hall carrier number F/cRh for Y, Pr Ba2Cu307 single crystals with different x values. The fact that the data for two pairs of x values (x = 0, x = 0.08, and x = 0.42, x=0.51) are out of sequence in the F/cRh vs. T plot, but are not in the cot( H) vs. P- plot (see fig. 17), could be a result of the error in measuring the thickness of these crystals. The x = 0.9 value represents the nominal composition, while the x values of the superconducting samples were estimated by comparing the T s of the crystals with those of high-quality polycrystalline samples. From Maple et al. (1994).

Exercise 4.5 Write a program in Maple/Mathematica to simulate transmissive impedance and create the corresponding complex plane and Bode plots. The parameters are as in Exercise 4.3, with / = 0.01 cm. 

Use Mathematica or Maple to plot the van der Waals p-V curves for some of the gases listed in Table 1.1 see Appendix 1.2 for sample programs. In particular, compare the van der Waals curves for CO 2 and He with the ideal gas equation. 

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