A calculational procedure useful in the design of multiple-effect evaporator systems is presented in this work. This algorithm reduces the series of nonlinear algebraic equations that govern the evaporator system to a linear form and solves them iteratively by a linear technique, e.g., Gaussian elimination. The algorithm is simple, easy to program, inherently stable, and virtually guarantees convergence, thereby eliminating the biggest problems with general nonlinear methods. Boiling point rise and nonlinear enthalpy relationships are included and require only a knowledge of their functions in temperature and composition. These relationships are obtained by curve fitting or interpolation.
manipulation. Of course, these techniques could be used to make the method even faster at a slight increase in programming complexity.
Conclusions1. The algorithm for evaporator design presented in this work is general, flexible, simple, and accurate.2. The convergence characteristics of the algorithm are remarkably stable.3. The algorithm is unusually insensitive to starting values.4. The algorithm may be used in economic optimization routines and other design calculations.5. The functional form of the equations is readily ap-
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