We consider a fluid queue fed by multiple On-Off flows with heavy-tailed (regularly varying) On-periods. Under fairly mild assumptions, we prove that the workload distribution is asymptotically equivalent to that in a reduced system. The reduced system consists of a ‘dominant’ subset of the flows, with the original service rate subtracted by the mean rate of the other flows. We describe how a d...

The hydrodynamic and thermal lattice Boltzmann methods are applied to investigate the turbulent convective heat transfer in the wavy channel flows. In this study, the turbulent phenomena are modeling by large-eddy simulations with the Smagorinsky model. As a benchmark, the laminar and turbulent backward-facing step flows are simulated first. The results give good agreement with other numerical ...

We consider a system with two heterogeneous traffic classes. The users from both classes randomly generate service requests, one class having light-tailed properties, the other one exhibiting heavy-tailed characteristics. The heterogeneity in service requirements reflects the extreme variability in flow sizes observed in the Internet, with a vast majority of small transfers (‘mice’) and a limit...

The existence of an integral flow polynomial that counts nowhere-zero k-flows on a graph, due to Kochol, is a consequence of a general theory of inside-out polytopes. The same holds for flows on signed graphs. We develop these theories, as well as the related counting theory of nowhere-zero flows on a signed graph with values in an abelian group of odd order. Note to publisher: This paper does ...

Complex three-dimensional vortex flows develop at the junction of a gas turbine airfoil and its casing (endwall). These flows increase the transfer of heat from the combustion gases to the metal parts and contribute to reduced aerodynamic efficiency. Past studies have shown that the use of a large fillet at the airfoil-endwall junction can reduce or eliminate the endwall vortex flow pattern. To...

To assess the role of auxin flows in plant vascular patterning, the development of vascular systems under conditions of inhibited auxin transport was analyzed. In Arabidopsis, nearly identical responses evoked by three auxin transport inhibitor substances revealed an enormous plasticity of the vascular pattern and suggest an involvement of auxin flows in determining the sites of vascular differ...