We show that the decay of a passive scalar θ advected by a random incompressible flow with zero correlation time in the Batchelor limit can be mapped exactly to a certain quantum-mechanical system with a finite number of degrees of freedom. The Schrödinger equation is derived and its solution is analyzed for the case where, at the beginning, the scalar has Gaussian statistics with correlation f...

The clearance flow patterns and pressure distribution determine the axial hydraulic thrust of a pump turbine, which has substantial impact on unit imbalance. However, due to tiny size complex shape channel, there is no detailed description characteristics. In this study, we conducted model test with particle image velocimetry (PIV) measurements CFD simulation rotating disk that was simplified p...

With advancement of nanoscience, "nanofluids" are becoming quite popular among thermal engineers. High conductivity, relatively less settling speed, and higher surface area nanoparticles a few key promoting properties. The last two decades have seen dramatic progress towards using in industrial applications. However, the stability rheological characteristics prepared nanofluids serious effects ...

This work is concerned with the mathematical analysis of bulk rheology random suspensions rigid particles settling under gravity in viscous fluids. Each particle generates a fluid flow that turn acts on other and hinders their settling. In an equilibrium perspective, for given ensemble positions, we analyze both associated mean speed velocity fluctuations individual particles. 1970s, Batchelor ...

The presence of ambient air in liquid-slamming events plays a crucial role influencing the shape liquid surface prior to impact, and distribution loads created upon impact. We study effect trapped on impact simplified geometry, by slamming horizontal flat disc onto stationary water bath at well-controlled velocity. show how trapping influences pressure peaks different radial locations disc, imp...

We consider the Nusselt–Rayleigh number problem of Rayleigh–Bénard convection and make hypothesis that velocity thermal boundary layer widths, $\delta _u$ _T$ , in absence a strong mean flow are controlled by dissipation scales turbulence outside layers and, therefore, order Kolmogorov Batchelor scales, respectively. Under this assumption, we derive $Nu \sim Ra^{1/3}$ high $Ra$ limit, independe...

The dynamics of suspensions particles has been an active area research since Einstein first calculated the leading-order correction to viscosity a suspension spherical (Einstein, Proc. R. Soc. , vol. A102, 1906, pp. 161–179). Since then, researchers have strived develop accurate description behaviours that goes beyond just leading order in particle volume fraction. Here, we consider low-Reynold...

ABSTRACT Clarice Lispector’s entry as an author into the United States happens at different moments, beginning in 1950s, with translation of several short stories, carried out among others by Elizabeth Bishop, culminating a biography written English Benjamin Moser 2009, and little later, publication stories other pieces, emblematic edition entitled The Complete Stories, 2015, edited translated ...