Motion of 2D Buoyant Clouds Downslope

The motion of conservative 2D thermals on beds with slope angles θ ranging from 5 to 90° is investigated theoretically and experimentally. Using a large number of experimental data, important flow characteristics, including the shape factors, spatial growth rate, propagation speed, and entrainment coefficient, are quantified as functions of bottom slope angles. A thermal model, which includes a resistance term, is developed. It is found semiempirically that resistance coefficients Cd are almost independent of θ and the values of Cd are in the range of 0.4–0.6. Capability of the model is demonstrated by comparing numerical results with theoretical as well as experimental results.