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| A Model of Particle Volume Concentration in Steady Windblown Sand Movement |
| Zhao Guodan, Kang Liqiang, Zou Xueyong, Zhang Chunlai, Cheng Hong |
| State Key Laboratory of Earth Surface Processes and Resource Ecology/MOE Engineering Center of Desertification and Blown-sand Control, Beijing Normal University, Beijing 100875, China |
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Abstract A simple and available mathematical model is developed for particle volume concentration in steady windblown sand movement, which includes three sections: wind velocity description, calculation of saltating particle trajectory and the description of particle ejected velocity distribution. In the model, the experimental wind velocity profile is used for the calculation of wind velocity, and the particle gravity and drag force are mainly considered for the calculation of particle trajectory. Based on the volume view, the probability density distributions of horizontal and vertical lift-off particle velocities are expressed by normal function and exponential function, respectively. Then the particle volume concentration can be deduced according to the dynamic equilibrium of particle motion in steady windblown sand movement. The result shows that the calculated particle volume concentration is consistent with the experimental results in wind tunnel, this reflects that the present model can provide a better prediction for the particle volume concentration in steady windblown sand movement.
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Received: 24 October 2014
Published: 20 September 2015
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2015, Vol. 35 
