Why does not gravity make drops slip down the inclined surfaces, e.g., plant leaves? The current explanation is based on the existence of surface inhomogeneities, which cause a sustaining force that pins the contact line. Following this theory, the drop remains in equilibrium until a critical value of the sustaining force is reached. We propose an alternative analysis, from the point of view of...

The rise of two-dimensional bubbles in an inclined channel is studied numerically. The numerical scheme uses a conservative finite-difference formulation that solves the equations of motion for both liquid and gas phases. Accurate calculation of the interface position and interfacial forces between gas and liquid are an essential part of the numerical scheme. Careful attention is also paid to m...

We report experiments on thermally driven convection in an inclined layer of large aspect ratio in a fluid of Prandtl number sigma approximately 1. We observed a number of new nonlinear, mostly spatiotemporally chaotic, states. At small angles of inclination we found longitudinal rolls, subharmonic oscillations, Busse oscillations, undulation chaos, and crawling rolls. At larger angles, in the ...

Priya Subramanian1,2,†, Oliver Brausch3, Karen E. Daniels4, Eberhard Bodenschatz1, Tobias M. Schneider1,5 and Werner Pesch3 1Max-Planck Institute for Dynamics and Self-Organization, Göttingen 37077, Germany 2School of Mathematics, University of Leeds, Leeds LS2 9JT, UK 3Universität Bayreuth, Theoretische Physik I, Bayreuth 95447, Germany 4Department of Physics, North Carolina State University, ...

Catastrophic failure of any brittle structure under dynamic loading consists of dynamic crack initiation, propagation, curving, branching (both micro and macro) and branching instability. However, the failure is much more complex in case of layered materials which has interfaces. In these materials, other than above crack mechanisms the crack can also deflect to propagate along the interface or...

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...