Mechanics of Wind-blown Sand Movements by Xiaojing Zheng

By Xiaojing Zheng

Mechanics performs a primary function in aeolian approaches and different environmental reviews. This proposed ebook systematically offers the recent development within the examine of aeolian approaches, in particular within the examine on mechanism, theoretical modelling and computational simulation of aeolian techniques from the point of view of mechanics. these days, environmental and aeolian approach similar difficulties are attracting increasingly more recognition. we are hoping this proposed ebook will offer scientists and graduate scholars in aeolian examine and different environmental learn a few mechanical equipment and rules and introduce aeolian similar difficulties of setting to mathematical and mechanical scientists.

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Fig. 8. 5 Basic Equations of the Atmospheric Boundary Layer 45 According to the HLR theory, the inner layer depth linner which can be calculated from linner = 2k 2L / ln(linner / z0), is usually much higher than the saltation layer. The velocity profile in this layer follows logarithmic law, while the friction velocity u* is not equal to the inflow friction velocity u*0, but substituted by another value with taking into account of the local disturbance instead.

34) At the upper boundary of the saltation layer, the turbulence shear stress is determined by the outer flow field, and is generally taken as τ 0. It can be inferred from Eqs. 34 that τ a + τ s = τ 0, so u ∂u 1 τ0 −τ s = A *a = . 35) According to the contribution of the Sauermann et al. 36) where Hs is the thickness of mean saltation. If the value of z0 is properly attained, the continuity of the flow field’s velocity outside the saltation layer can be assured. In addition, the analytic expression of the velocity in the wind-blown sand flux was also given by Raupach (1991).

11), to form the so-called Reynolds-Averaged Navier-Stokes (RANS) model. Though practical, the closed RANS model is not universal since Reynolds stress mainly originates from the large-scale fluctuation and its properties are closely related to the boundary condition of the flow. In other words, there does not exist a uniform model which can be applied to all complex flows. As far as computational complexity is concerned, the Large Eddy Simulation (LES) model lies between the DNS and the RANS model.

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