Oblique stagnation flow towards a rotating disc

This work endeavours to study the problem of axisymmetric oblique stagnation point flow above a rotating disc. An external flow impinges obliquely on a disc when the disc is rotating with constant angular velocity. Suitable similarity variables are introduced, for the first time, to transform the governing Navier-Stokes equations into a highly nonlinear system of ordinary differential equations, governed by a rotation ratio parameter alpha and an obliquity parameter gamma. These resulting equations are then solved numerically via the routine bvp4c function from MATLAB software. Impact of different parameters on the flow and velocity profiles are discussed through tables and graphs. Further, threedimensional streamlines are drawn to reveal the detailed effects of the parameters on the flow domain. It is noticed that streamlines are to shift the location of the stagnation point towards the incoming flow. There is also a rotational motion around the stagnation point for the rotating disc case. (C) 2020 Elsevier Masson SAS. All rights reserved.

Automated summary

This study investigates the problem of axisymmetric oblique stagnation point flow above a rotating disc. By introducing similarity variables, the governing Navier-Stokes equations are transformed into a highly nonlinear system of ordinary differential equations, which are then numerically solved to discuss the impact of different parameters on flow and velocity distribution.