Optimal iterative perturbation technique for solving jeffery–hamel flow with high magnetic field and nanoparticle

Bildik N., Deniz S.

Journal of Applied Analysis and Computation, vol.10, no.6, pp.2476-2490, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.11948/20190378
  • Journal Name: Journal of Applied Analysis and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.2476-2490
  • Keywords: Jeffery–Hamel flows, Nanoparticle, Optimal iterative perturbation technique
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this research paper, a different semi-analytical analysis of modified magnetohydrodynamic Jeffery–Hamel flow is conducted via the newly developed technique. We use the optimal iterative perturbation method with multiple parameters to see the effects of the magnetic field and nanoparticle on the Jeffery–Hamel flow. Comparing our new approximate solutions with some earlier works proved the excellent accuracy of the newly proposed tech-nique. Convergence analysis of the proposed method is also discussed and error estimation is given to anticipate the accuracy of higher-order approximate solutions.