The paper is divided into two parts. In the first part the forces acting in the steady state on a cuboid in an incompressible plug flow with respect to the angle of incidence and to the particle Reynolds number are calculated. These forces are the drag force acting in flow direction and the lift force acting perpendicular to the flow direction for fixed particles and additionally the Magnus force for rotating particles. A non-uniform distribution of the force along the particle surface causes a torque and thereby a rotation of a moving particle. In the second part the resulting orientation of a long cylinder in laminar channel flow and in turbulent flows is analysed. All simulations are performed by the three-dimensional lattice Boltzmann method (LBM).

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