Applied Mathematics And Modeling For Chemical Engineers, by Richard G. Rice, Duong D. Do
By Richard G. Rice, Duong D. Do
This moment variation of the go-to reference combines the classical research and sleek functions of utilized arithmetic for chemical engineers. The publication introduces conventional ideas for fixing traditional differential equations (ODEs), including new fabric on approximate answer equipment akin to perturbation thoughts and uncomplicated numerical recommendations. it is also analytical ways to care for vital periods of finite-difference equations. The final part discusses numerical answer innovations and partial differential equations (PDEs). The reader will then be built to use arithmetic within the formula of difficulties in chemical engineering. just like the first version, there are lots of examples supplied as homework and labored examples
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Additional resources for Applied Mathematics And Modeling For Chemical Engineers, Second Edition, 2nd Edition
G. Rice. “Axial Dispersion in Large Unbaffled Columns,” Chem. Eng. , 9, 171–174 (1975). Bird, R. , W. E. Stewart, and E. N. Lightfoot. Transport Phenomena. , New York (1960). Carslaw, H. S. and J. C. Jaeger. , Oxford University Press, New York (1959). Fadeev, D. K. and V. N. Fadeeva. Computational Methods of Linear algebra. Freeman, San Francisco (1963). Hoffman, J. D. Numerical Methods for Engineers and Scientists. McGraw Hill, New York (1992). Rice, R. G. “Approximate Solutions for Batch, Packed Tube and Radial Flow Adsorbers: Comparison with Experiment,” Chem.
It is clear that separation of variables is not possible in the present state. To start the solution of Eq. 12, we put forth the proposition that there exists an elementary, separable solution In the following section, we shall exploit this property of exactness in a formal way to effect solutions to certain classes of problems. 2 CLASSIFICATION OF ODE The broad classification of equations with which engineers must contend is as follows: (a) Linear equations (b) Nonlinear equations Much is known about linear equations, and in principle all such equations can be solved by well-known methods.
The obvious question arises: When is a model of a process good enough? This is not a trivial question, and it can be answered fully only when the detailed economics of design and practicality are taken into account. Here, we have simply illustrated the hierarchy of one simple process, and how to find the limits of validity of each more complicated model in the hierarchy. In the final analysis, the user must decide when tractability is more important than precision. ð1:162dÞ where J0(b) and J1(b) are tabulated relations called Bessel functions, which are discussed at length in Chapter 3.