The calculation of loss is vital for design flood estimation models and in order to estimate continuing loss (CL), proportional loss (PL) and volumetric runoff coefficient, the surface runoff has to be separated from the total given in a stream flow hydrograph. To obtain the volume of surface runoff from the streamflow hydrograph, baseflow separation becomes necessary and in this paper a few ba...

The interaction of a flow with the objects embedded in it mostly results in attachment or detachment (also separation) of the flow to respectively from the object. Separation and attachment usually appears at isolated points or lines. In steady flows, separation and attachment are related to singularities and separatrices, i.e. vector field topology, of the wall-shear stress field [SGH06]. Cons...

We provide an explicit rigorous derivation of a diffusion limit – a stochastic differential equation with additive noise – from a deterministic skewproduct flow. This flow is assumed to exhibit time-scale separation and has the form of a slowly evolving system driven by a fast chaotic flow. Under mild assumptions on the fast flow, we prove convergence to a stochastic differential equation as th...