Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

A Continuum Model of Drag and Lift Forces for Inclined Planes Dragged Through Granular Beds

Version 1 : Received: 28 June 2019 / Approved: 29 June 2019 / Online: 29 June 2019 (10:43:27 CEST)
Version 2 : Received: 1 July 2019 / Approved: 2 July 2019 / Online: 2 July 2019 (11:12:46 CEST)

How to cite: Guo, H.; Fu, J.; Guo, R.; Jiang, H.; Chen, N. A Continuum Model of Drag and Lift Forces for Inclined Planes Dragged Through Granular Beds. Preprints 2019, 2019060307. https://doi.org/10.20944/preprints201906.0307.v2 Guo, H.; Fu, J.; Guo, R.; Jiang, H.; Chen, N. A Continuum Model of Drag and Lift Forces for Inclined Planes Dragged Through Granular Beds. Preprints 2019, 2019060307. https://doi.org/10.20944/preprints201906.0307.v2

Abstract

Both drag and lift forces impact an inclined plane when it is dragged through a granular bed. In this paper, the following results have been obtained: the drag and lift forces grow with the velocity of motion; when the immersion depth is constant, the inclination angle has no effect on drag force, however, the lift force increases linearly with this inclination angle; the ratio of drag and lift forces is exactly equal to the tangent value of the inclined angle. In order to describe this physical process macroscopically, a continuum wedge model based on the Coulomb model is established to predict drag and lift forces. Particularly,the dynamic friction angle in the assumed shear band is predicted as a function of both inclined angle and moving velocity.

Keywords

granular flow;drag and lift forces;discrete element method

Subject

Physical Sciences, Applied Physics

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