mixed convection of al 2 o 3 -water nanofluid in a square microcavity is investigated numerically. governing equations are discretized and solved using the finite volume method and simpler algorithm. the knudsen number is selected between 0.001 and 0.1 to consider slip velocity and the jump temperature boundary conditions. results showed that nusselt number is a function of richardson number, k...

Shock jump conditions, i.e., the specification of the downstream parameters of the gas in terms of the upstream parameters, are obtained for steady-state, plane shocks with oblique magnetic fields and arbitrary flow speeds. This is done by combining the continuity of particle number flux and the electromagnetic boundary conditions at the shock with the magnetohydrodynamic conservation laws deri...

We present the jump conditions for ionization fronts with oblique magnetic fields. The standard nomenclature of Rand D-type fronts can still be applied, but in the case of oblique magnetization there are fronts of each type about each of the fastand slow-mode speeds. As an ionization front slows, it will drive first a fastand then a slowmode shock into the surrounding medium. Even for rather we...

In the immersed interface method, boundaries are represented as singular force in the Navier–Stokes equations, which enters a numerical scheme as jump conditions. Recently, we systematically derived all the necessary spatial and temporal jump conditions for simulating incompressible viscous flows subject to moving boundaries in 3D with second-order spatial and temporal accuracy near the boundar...

abstract in this study, the effect of suspended load transport on the characteristics of submerged hydraulic jump (shj) in a rectangular channel was investigated experimentally. sediment concentration and jet froude numbers in the range of 0.424%-16.15% and 1.93-4.96, respectively, were considered. tow grain size 0.15 and 0.03 mm were used in the experiments. characteristics of submerged hydrau...

The paper deals with the approximation of the solution set and the reachable sets of an impulsive differential inclusion with variable times of impulses. It is strongly connected to [11] and is its continuation. We achieve order of convergence 1 for the Euler approximation under Lipschitz assumptions on the set-valued right-hand side and on the functions describing the jump surfaces and jumps t...

This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable....

We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partially exchangeable property is the vertex reinforced jump process, under some technical conditions (Theorem 4). This result gives a counterpart to the characterization of edge reinforced random walk given by Rolles [9].

Considering the importance of the vertical jump in several sports, an optimal warm-up protocol may help athletes perform at their maximum level. The purpose of this study was to investigate the potentiating effects of different levels of external resistance (weighted vest) during box jumps on vertical jump performance. Twenty resistance trained men (age 22.45 +/- 1.73 years, height 176.83 +/- 6...

We consider the problem of locating the jumps in regression surfaces. A least squares plane is tted in a neighborhood of a design point in question. The gradient vector of this plane contains both the continuous and jump information of the regression surface at this design point. We try to remove the continuous information by using two neighboring least squares planes along the direction of tha...