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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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6.6 Introduction to Naphtali-Sandholm Simultaneous Convergence Method

One of the more robust methods for solution of multicomponent distillation and absorption problems was developed in a classic paper by Naphtali and Sandholm (1971). This method is available in many commercial simulators. Naphtali and Sandholm developed a linearized Newtonian method to solve all the equations for multicomponent distillation simultaneously.

The Newtonian procedure outlined in Eqs. (2-51) to (2-57) for the energy balance for flash distillation can be considered a simplified version of the method used by Naphtali and Sandholm. I recommend that students reread that material before proceeding.

To develop a simultaneous Newtonian procedure for multicomponent distillation, ...

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