In this study, experimental procedure and laboratory works have been conducted to investigate the energy loss rate on stepped spillway, using inclined steps together with end sill. To have a more elucidated investigation inclined steps with different slopes (Horizontal , 7, 10, and 12 degrees with respect to the horizon) and end sill with different thicknesses (5 and 10 mm) and heights (6, 8, 1...

An analysis of laminar natural convection in inclined slots subjected to patterned heating has been performed. The imposed takes a simple form characterized by single Fourier mode combined with uniform heating. It is shown that periodic applied at the lower plate produces no net flow when slot either horizontal or vertical, but upward generated tilted. Periodic upper downward situation. additio...

The natural convection in inclined side-heated rectangular boxes with adiabatic walls is theoretically and numerically investigated. The study is focused on the characterization of the convection patterns arising at the core of the basic steady unicellular flow and covers the whole range of Prandtl numbers (0< or = Pr < or = infinity) and inclinations (from alpha=0 degrees, heated-from-below ve...

We present a numerical solution of the natural convection from inclined wall plumes which arise from a line thermal source imbedded at the leading edge of an adiabatic plate with arbitrary tilt angle between 0 and n/2, and embedded in a fluid-saturated porous medium. An appropriate transformation of the governing boundary-layer equations is proposed and a very efficient novel numerical solution...

Flow on an inclined plane is both one of the most common situations encountered in granular ows, as well as one of the most extensively studied geometries in their theoretical treatment. Nevertheless, so far there are very few systematic studies concerning the innuence of the (dissipative) material properties on the ow. Here, numerical simulations are presented where the focus is on the innuenc...

We report experimental results on the defect turbulent state of undulation chaos in inclined layer convection of a fluid with Prandtl number approximately 1. By measuring defect density and undulation wave number, we find that the onset of undulation chaos coincides with the theoretically predicted onset for stable, stationary undulations. At stronger driving, we observe a competition between o...

Geosynthetic Clay Liners (GCLs) are mainly used to provide watertightness for soils. Their principal function is often fulfilled when construction regulations are implemented. However, when these materials are set in an inclined position, the failure of the whole landfill facility becomes a major concern. Slope stability becomes out significant to be verified; otherwise the principal function o...

We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long time behavior for both homogeneous and inhomogeneous medium (i.e. constant and non-constant contact angle). We also obtain some homogenization results.