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Micropolar fluid flow due to rotating and oscillating circular cylinder: 6th order numerical study

The ‘time‐marching study’ of non‐steady flow around a rotating and oscillating circular cylinder of a viscous incompressible micropolar fluid, for low values of Keulegan‐Carpenter number Kc and different values of Stokes parameter β is being undertaken. In the present studies we have investigated the Magnus effects on stirring or orbital flow for different values of rotation parameter α in the range 0 to 4.5 at various time levels. In this numerical attempt we have adopted the scheme, which consists of two steps. In the first step a 4th order special finite‐difference method is used to approximate the constitutive equations. This method transforms the governing partial differential equations to a system of finite‐difference equations, which are solved numerically by S.O.R. iterative method. In the second step, the results obtained are further refined and upgraded by Richardson's extrapolation method. That is why this scheme yields the sixth order accurate solution. To check the accuracy of the results these results are compared on five different grid sizes. The results compare very well.