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Fortran programs for chemical process design, analysis, and by A. Kayode Coker PhD

By A. Kayode Coker PhD

This publication supplies engineers the elemental theories, equations, and desktop courses (including resource codes) that supply a prepared solution to study and resolve a variety of strategy engineering difficulties.

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FOR determines the slope, intercept, and correlation coefficient for the above experimental data. 9998. Figure 1-7 gives a plot of Reynolds number against power number. The figure shows that Equation 1-3 gives a perfect fit of the experimental data. Problem 1-2 In a fluid flow experiment, the volumetric rate of fluid through a pipe is dependent on the pipe diameter and slope by the following equation. 025 ft. blade turbine Y-Actual Y-Estimate 60 ~ 50 40 Power Number 3O 20 10 0 2 4 6 8 10 12 14 Reynolds Number Figure 1-7.

S. Kwong, "On the Thermodynamics of Solutions" An Equation of State Fugacities of Gaseous Solutions," Chem. , Vol. 44, 1949, p. 233. 10. Underwood, A. J. , "Fractional Distillation of Multicomponent Mixtures Calculation of Minimum Reflux Ratio," J. Inst. , Vol. 32, 1946, p. 614. 11. Gjumbir, M. and Z. Olujic, "Effective Ways to Solve Single Nonlinear Equations," Chem. , July 23, 1984, pp. 51-56. 12. , "Finding Your Roots," Chem. , April 25, 1988, pp. 85-92. 13. Sargent, R. W. , A Review of Methods for Solving Nonlinear Algebraic Equation, Foundations of Computed Aided Chemical Process Design, Engineering Foundation, New York, Vol.

N th Order Ordinary Differential Equations We consider the solutions of the Nth order differential equations of the form: ( dy d2y d3y dn-'y a n y ) ~ , ~ .. - 0 F x,y, dx dx 2 ' d x 3 '" dxn-I ' d x n (1-112) Equation 1-112 has the highest derivative of the order n, and is ordinary because there is only one independent variable, x. We can obtain a unique solution when some additional information such as values of y(x) and its derivatives at some specific values of x are known. Therefore, for an N th order equation, we require such N conditions to arrive at the unique solution y(x).

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