Representation of the forces acting on a particle in unsteady flow

The flow around a stationary process sphere by an accelerating flow of a pseudoplastic fluid at Reynolds numbers $\mathrm{Re}=0-200$ and dimensionless acceleration $\mathrm{Ga}=10-10^4$ is studied by numerical simulation. It is shown that the analytical expression of the force of the added mass for an ideal fluid is appropriate for a pseudoplastic fluid. An expression for calculating the hereditary force of the type of the Basset force for a pseudoplastic fluid is proposed.