Application of graduate‐level numerical tools to teach phase equilibria of liquid ternary systems

Binous, Housam; Mejbri, Kh.; Bellagi, A.

doi:10.1002/cae.22411

Cited by 4 publications

(2 citation statements)

References 36 publications

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“…Let us now admit that for a particular value 𝜑 0 of the parameter 𝜑, the equations set (B1) has a solution m 0 , [46][47][48]…”

Section: Appendix B Arc-length Continuation Technique B1 General Cons...mentioning

confidence: 99%

“…Although, one can solve this DAE using the built-in Mathematica© function NDSolve, 46 we choose in the present article to discretize Equation (B5). [46][47][48] The resulting algebraic system is then solved with the built-in Mathematica© function FindRoot in combination with the continuation procedure NestList. This latter Mathematica© function is very handy when one wishes to make an iterative computation using every previously found solution as a starting point for the next iteration or equilibrium calculation.…”

Section: Appendix B Arc-length Continuation Technique B1 General Cons...mentioning

confidence: 99%

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Calculations of complex chemical reaction equilibria using stoichiometric and non‐stoichiometric approaches in combination with arc‐length continuation

Binous

Bellagi

2022

Engineering Reports

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Chemical equilibrium calculations—as they are required to evaluate the evolution limits of any reactive system—are fundamentally performed using either a reaction based stoichiometric (S) approach or a non‐stoichiometric (NS) method. One objective of the present paper is to check and discuss whether both methods lead to comparable solutions in the case of complex chemical equilibria encountered in high temperature and pressure combustion of hydrazine and propane and in steam gasification of glucose and cellulose. Within both calculation models various numerical methods can be used. We apply several techniques for each approach and discuss their easiness of implementation and usage, in particular when chemical equilibria are computed for reacting systems under a multitude of temperature and pressure conditions and feed compositions. In addition, we present a novel approach to perform sensitivity analyses based on a combination of S or NS methods and arc‐length continuation technique. For this purpose, three industrially relevant case studies are exposed: (1) synthesis of ammonia using the Haber process, (2) steam gasification of a typical biomass surrogate, glucose, and (3) steam gasification of cellulose. For all the above reacting systems, our results are benchmarked against their counterparts obtained either from the ubiquitous process simulator: ASPEN‐Plus® or from data available in the open literature.

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“…Let us now admit that for a particular value 𝜑 0 of the parameter 𝜑, the equations set (B1) has a solution m 0 , [46][47][48]…”

Section: Appendix B Arc-length Continuation Technique B1 General Cons...mentioning

confidence: 99%