MHD nonaligned stagnation point flow of second grade fluid towards a porous rotating disk

• Published in: Nonlinear engineering Vol. 8; no. 1; pp. 231 - 249
• Main Authors: Khan, Najeeb Alam, Naz, Farah, Khan, Nadeem Alam, Ullah, Saif
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 28-01-2019; Walter de Gruyter GmbH
• Subjects: magnetohydrodynamic; Magnetohydrodynamics; Mathematical models; Ordinary differential equations; Partial differential equations; rotating disk; Rotating disks; Rotating fluids; Rotation; second grade fluid; Stagnation point; Suction
• ISSN: 2192-8010; 2192-8029
• DOI: 10.1515/nleng-2017-0063

This paper provides analytical solution of the non-aligned stagnation point flow of second grade fluid over a porous rotating disk in the presence of a magnetic field and suction/injection at the disk surface. The mathematical formulation of the fluid model is obtained in terms of partial differential equations (PDEs). The PDEs governing the motion are transformed into a system of ordinary differential equations (ODEs) by means of a similarity transformation and these corresponding nonlinear ODEs are solved by employing the homotopy analysis method (HAM) and the convergence analysis of the presented method is also performed graphically. An inclusion of the influences of various admissible parameters has been shown numerically and graphically on the flow field. Furthermore, comparison is made and it concedes that the obtained results are found to be in good agreement with results existing in literature.