Homotopy Perturbation Method for the nonlinear MHD Jeffery–Hamel blood flows problem.

In this paper, Homotopy Perturbation Method is applied to solve the nonlinear MHD Jeffery–Hamel arterial blood flow problem. Primarily, two-dimensional nonlinear Navier–Stokes equations have been converted into third order one-dimensional equation by means of transformation rule. Later the solution of governed equation is obtained by using Homotopy Perturbation Method. The proposed numerical results show a good agreement with reference solution for finite interval and emphasize to understand the human arterial blood flow rate. Further, accuracy and reliability of the proposed method is checked by increasing the iteration process up to third order. Finally, the results showed that product of angle between plates " α " and Reynolds number " Re " is directly proportional to the MHD Jeffery–Hamel flow. • A computing method is designed for nonlinear MHD Jeffery–Hamel arterial blood flow problem. • In modern studies related to flow rate of blood has been observed as a cross sectional dependent and time dependent. • Comparison is presented with reported results like RK-4 numerical results verify the correctness of the scheme. • Accuracy and convergence of the solver is verified from the statistical analysis. • Proposed scheme is an alternate and reliable method for such nonlinear systems. [ABSTRACT FROM AUTHOR]