The effect of small viscous dissipation on Lagrangian transport in two-dimensional vorticityconserving fluid flows motivates this work. If the inviscid equation admits a base flow in which different fluid regions are divided by separatrices, then transport between these regions is afforded by the splitting of separatrices caused by viscous dissipation. Finite-time Melnikov theory allows us to m...

Recent X-ray observations reveal growing evidence for heating by active galactic nuclei (AGN) in clusters and groups of galaxies. AGN outflows play a crucial role in explaining the riddle of cooling flows and the entropy problem in clusters. Here we study the effect of AGN on the intra-cluster medium in a cosmological simulation using the adaptive mesh refinement FLASH code. We pay particular a...

An investigation has been made to analyze the effects of viscous dissipation on the heat transfer characteristics for both hydro-dynamically and thermally fully developed, laminar shear driven flow between two infinitely long parallel plates, where the upper plate is moving in an axial direction at a constant speed. On the basis of some routine assumptions made in the literature, a close form a...

According to Stokes' law, a moving solid surface experiences viscous drag that is linearly related to its velocity and the viscosity of the medium. The viscous interactions result in dissipation that is known to scale as the square root of the kinematic viscosity times the density of the gas. We observed that when an oscillating surface is modified with nanostructures, the experimentally measur...

Capillary instability of a liquid cylinder immersed in another liquid is analyzed based on potential flow solutions. The growth rate of the instability is obtained by considering the normal stress balance at the interface. We derive a viscous correction of the irrotational pressure which presumably arises from a boundary layer induced by the discontinuity of the tangential velocity and shear st...

source arising from the viscous dissipation. This result has been noted by Lamb5 (p. 646). The error in equation (7) can thus be considered as arising from neglecting the heat produced by viscous dissipation of the kinetic energy. 1 Margules, M., Met. Z., 23, 481 (1906). 2 Bjerknes, V., and collaborators, Physikalische Hydrodynamik, Chap. 4, Julius Springer, Berlin, 1933. 3 Brunt, D., Physical ...

We have used optical drive and detection to study dissipation in silicon nitride beam resonators. We are able to tune resonant frequency as well as quality factor in a given nanostring resonator by several hundred percent by tuning the stress in real time, providing a unique look into the sources of dissipation for this class of nanoresonator. A record room temperature quality factor of 390,000...

In this paper, by introducing a different distribution function and starting from the Boltzmann equation as well as the Maxwell-Boltzmann distribution, we obtain a Boltzmann Bhatnagar-Gross-Krook (BGK) equation for thermal flows with viscous heat dissipation in the incompressible limit. The continuous thermal BGK model is then discretized over both time and phase space to form a lattice BGK mod...