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|標題:||Hydraulic Analysis of Water Flow in a Closed Conduit with Suction
|關鍵字:||耦合流場;Biot孔彈性介質理論;流線函數;coupledflow field;Biot poroelastic theory;stream function||Project:||水土保持學報, Volume 46, Issue 3, Page(s) 1093-1104.||摘要:||
Generally, studies on channel flow mainly focus on the velocity profiles of the flow in the longitudinal (or streamwise) direction.Since the horizontal velocity is much greater than the vertical one, we usually take the assumption of fully developed flow when generating the analytical solutions.The vertical velocity is then ignored to simplify the governing equations. However, the vertical velocity is actually not negligible, especially at the interface of soil and water, as well as the horizontal velocity. In this study, we discuss a coupled two-dimensional flow field which includes a water layer and homogeneous porous medium layer with suction. In the water layer, Navier-Stokes’ equation is employed to describe the flow, whereas in the porous medium layer, instead of Brinkman-extended Darcy equation, poroelastic theory is addressed. Intro ducing the stream function with boundary conditions, we successfully find the solutions and draw the velocity profiles both in the water and the porous medium layer.Finally, by comparing the results with previous study, it shows that the present approach is able to simplify the algorithm process and the results are in a good agreement.
|Appears in Collections:||第46卷 第03期|
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