TY - JOUR TI - Fractal derivative model for the transport of the suspended sediment in unsteady flows AU - Nie Shiqian AU - Sun HongGuang AU - Liu Xiaoting AU - Wang Ze AU - Xie Mingzhao JN - Thermal Science PY - 2018 VL - 22 IS - 11 SP - 109 EP - 115 PT - Article AB - This paper makes an attempt to develop a Hausdorff fractal derivative model for describing the vertical distribution of suspended sediment in unsteady flow. The index of Hausdorff fractal derivative depends on the spatial location and the temporal moment in sediment transport. We also derive the approximate solution of the Hausdorff fractal derivative advection-dispersion equation model for the suspended sediment concentration distribution, to simulate the dynamics procedure of suspended concentration. Numerical simulation results verify that the Hausdorff fractal derivative model provides a good agreement with the experimental data, which implies that the Hausdorff fractal derivative model can serve as a candidate to describe the vertical distribution of suspended sediment concentration in unsteady flow.