Optimal Homotopy-Based Approximate Solutions for Process Systems Represented by the Axial Dispersion Model. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Danish, Mohammad; Kumar, Shashi; Kumar, Surendra
• Is Part Of: Chemical engineering communications. Volume 203:Issue 11(2016)
• Page Start: 1484
• Page End: 1496
• Publication Date: 2016-11-01
• Subjects: Flow pattern -- Heat exchanger -- Homotopy analysis method -- Multiple solutions -- Nonlinear boundary value problem -- Reactor; Chemical engineering -- Periodicals; 660.205
• DOI: 10.1080/00986445.2016.1212022
• Languages: English
• ISSNs: 0098-6445

Abstract

Abstract : An efficient variant of the homotopy analysis method, namely the optimal homotopy analysis method (OHAM), has been presented for the solution of chemical process systems that are represented by the axial dispersion model. To show its efficiency OHAM has been successfully applied to one of the popular chemical engineering systems, i.e., axial dispersion model of a tubular chemical reactor sustaining nonlinear kinetics. The obtained optimal homotopy results have been shown to agree closely with the numerically obtained results. The usefulness of OHAM has further been illustrated by effectively capturing multiple solutions, which frequently arise in non-monotonic kinetics. Convergence of the so-obtained OHAM results has also been discussed. It is also worthwhile to mention that the presented methodology of OHAM, with slight modification, can easily be extended to other engineering systems not represented by the axial dispersion model.