On the Stability Analysis of Oblique Stagnation Point Flow over a Radiated Shrinking Riga Plate with Velocity Slip

Abstract Oblique stagnation point flow refers to the fluid flow near a stagnation point when the incoming flow is not perpendicular to the surface, but rather at an angle. The Riga plate is also introduced as a transverse magnetic field to generate the wall-parallel Lorentz forces. Hence, we investigate the oblique stagnation point slip flow past a shrinking Riga plate with thermal radiation. Additionally, the plate features a permeable boundary, which allowing fluid to pass through. The governing equations of mass, momentum, and energy in the form of partial differential equations (PDEs) are transformed into a system of nonlinear ordinary differential equations (ODEs) via appropriate similarity transformations. The system is then numerically solved through bvp4c implementation in MATLAB software, where we observe the dividing streamline plots meet the oblique stagnation point against slip velocity. The effects of respective parameters on velocity and temperature profiles, such as EMHD parameter, free parameter, radiation parameter, slip parameter, as well as suction parameter, are examined in detail. Furthermore, the duality of solutions is noticed with the negative values of shrinking parameter. A stability analysis is then performed on the dual solutions and justifying the stability of the upper solution compared to the lower solution.