“…In the recent decade, the interest to analysis of the non-Newtonian fluid is increased, due to their relation to applied sciences. The governing equations in these kinds of fluids flow are complicated and of higher-order in comparison with the governing equations of Newtonian fluids flow (Kolsi et al, 2020;Al-Rashed et al, 2019;Selimefendigil and Öztop, 2018;Al-Rashed et al, 2017;Selimefendigil and Öztop, 2016;Maatki et al, 2016;Hussein et al, 2016;Bondareva et al, 2016;Selimefendigil and Öztop, 2014). Besides, the subject of magnetohydrodynamics (MHD) and using analytical and numerical methods for analyzing has been considered by many researchers (Taheri, 2019;Selimefendigil et al, 2019aSelimefendigil et al, , 2019bJavanmard et al, 2019;Asiful et al, 2019;Aly and Pop, 2019;Taheri et al, 2017).…”