New formula for drag coefficient of cylindrical particles

The drag force on a cylindrical particle is calculated using lattice Boltzmann method. The results show that the drag coefficient of a particle with different orientation angles decreases with increasing Reynolds number. When the principal axis of the particle is parallel to flow, the drag coefficient is much larger than that of others and decreases fastest with increasing Reynolds number, which becomes more obvious with increasing particle aspect ratio. When the principal axis of the particle is inclined to flow, the drag coefficient is nearly the same for different particle aspect ratios. In the case of flow with small Reynolds number (Re < 100), the drag coefficient decreases with increasing orientation angle at different aspect ratios and Reynolds numbers. The drag coefficient is more sensitive to particle orientation angle when the particle orientation angle is small and the aspect ratio is large. Finally, a new correlation formula for the drag coefficient of cylindrical particle is established, with which the drag force on a cylindrical particle can be directly calculated based on the Reynolds number, particle aspect ratio and orientation angle.

Graphical abstractThe drag force on a cylindrical particle is calculated using lattice Boltzmann method. The numerical results are shown to be in good agreement with the experimental data. A new correlation formula for the drag coefficient of cylindrical particle is established, with which the drag force on a cylindrical particle can be directly calculated as a function of the Reynolds number, particle aspect ratio and orientation angle.Figure optionsDownload full-size imageDownload as PowerPoint slide