ERSC 2P16 Lecture 16: Fluid Gravity Flows pt1
6 Aug 2015
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Document Summary
Water flowing down a slope in response to gravity (e. g. , rivers). In this case, the driving force is the down slope component of gravity acting on the mass of fluid; more complicated because the deeper into the flow the greater the weight of overlying fluid. D is the flow depth and y is some height above the boundary. Fg is the force of gravity acting on a block of fluid with dimensions (d-y) x 1 x 1; note that y is the height above the lower boundary. Q is the slope of the water surface (note that depth is uniform so that this is also the slope of the lower boundary). Ty is the shear stress that is acting across the bottom of the block of fluid (it is the downslope component of the weight of fluid in the block) at some height.
