Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

Purpose – In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues. Design/methodology/approach – In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method. Findings – It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components. Practical implications – A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement. Originality/value – This model is investigated for the first time, as the authors know.