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- Olga Shishkina, Claus Wagner
- Numerical Methods and Applications
- 2006

- Olga Shishkina, Sebastian Wagner, Susanne Horn
- Physical review. E, Statistical, nonlinear, and…
- 2014

We derive the asymptotes for the ratio of the thermal to viscous boundary layer thicknesses for infinite and infinitesimal Prandtl numbers Pr as functions of the angle β between the large-scale circulation and an isothermal heated or cooled surface for the case of turbulent thermal convection with laminar-like boundary layers. For this purpose, we apply the… (More)

- Olga Shishkina
- Physical review. E
- 2016

We derive the dependence of the Reynolds number Re and the Nusselt number Nu on the Rayleigh number Ra and the Prandtl number Pr in laminar vertical convection (VC), where a fluid is confined between two differently heated isothermal vertical walls. The boundary layer equations in laminar VC yield two limiting scaling regimes: Nu∼Pr^{1/4}Ra^{1/4},… (More)

- Olga Shishkina, Susanne Horn, Sebastian Wagner, Emily Ching
- Physical review letters
- 2015

We report a new thermal boundary layer equation for turbulent Rayleigh-Bénard convection for Prandtl number Pr>1 that takes into account the effect of turbulent fluctuations. These fluctuations are neglected in existing equations, which are based on steady-state and laminar assumptions. Using this new equation, we derive analytically the mean temperature… (More)

- Susanne Horn, Olga Shishkina, +6 authors Federico Toschi
- 2011

A high resolution numerical technique coupled with Lagrangian particle tracking is employed to investigate the behaviour of inertial particles in a periodic turbulent RayleighBènard convection cell. In particular, we focus on the relation between thermal structures and particle re-suspension. Different particle Stokes and Froude numbers are considered to… (More)

- Olga Shishkina, Claus Wagner
- IJCSM
- 2007

Turbulent convection of fluids heated from below and cooled from above, which is known in literature as Rayleigh–Bénard convection (RBC) [1]–[2], is one of the classical problems in fluid dynamics. The most interesting examples of this process are convection in atmospheres, in oceans, on surfaces of stars. There are three main parameters characterizing… (More)

- Olga Shishkina, Sebastian Wagner
- Physical review letters
- 2016

We report the Prandtl-number (Pr) and Rayleigh-number (Ra) dependencies of the Reynolds number (Re) and mean convective heat transport, measured by the Nusselt number (Nu), in horizontal convection (HC) systems, where the heat supply and removal are provided exclusively through a lower horizontal surface of a fluid layer. For laminar HC, we find that… (More)

- Olga Shishkina
- 2016

Also J. L.Raabe (1801–1859) [3] studied the Bernoulli polynomials, he found two important formulas and introduced this term (J. L.Raabe, 1851). The Bernoulli and Euler polynomials were later systematically studied by N.Nörlund [4]. The Bernoulli numbers have wide applications in computer technology [5], combinatorial analysis [6,7] and in numerical analysis… (More)

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