The Application Of Homotopy Methods In Prediction Of Azeotropes

It is important to predict azeotropic temperature and composition in distillation. The traditional predictive methods include experiential methods and multicomponent vapor-liquid equilibrium methods, etc. But the applicable scope is finite, or the convergence scope is finite. Because the convergence of homotopy methods is larger than Newton methods, so it can make up for this disadvantage. In this thesis, authors combine the advantage of homotopy methods with Newton methods to form new homotopy-Newton united methods.In the first, the equations are being transformed to a differential homotopy-continuation function, and being a initial value problem of ordinary differential equation. Prediction-corrector methods are adopted in this thesis to solve ordinary differential equation. At last we adopt Newton methods to get the precision answer.In the thesis, new homotopy-Newton united methods,Newton methods and homotopy methods are adopted to predict azeotropic temperature and composition. Compare with Newton methods, the convergence scope of the new homotopy-Newton united methods is being enlarge and robust. Compare with homotopy methods, The new homotopy-Newton united methods, precision and rapidity are make a progress.