TL;DR: In this article, the peculiar velocity of the Local Group of galaxies manifested in the cosmic microwave background dipole is found to decompose into three dominant components, the nearest being a velocity discontinuity at 7 Mpc, the second being an attraction on scales larger than 3000 km s−1 and centered near the direction of the Centaurus Cluster.
Abstract: The peculiar velocity of the Local Group of galaxies manifested in the cosmic microwave background dipole is found to decompose into three dominant components. The three components are clearly separated because they arise on distinct spatial scales and are fortuitously almost orthogonal in their influences. The nearest, which is distinguished by a velocity discontinuity at ~7 Mpc, arises from the evacuation of the Local Void. We lie in the Local Sheet that bounds the void. Random motions within the Local Sheet are small, and we advocate a reference frame with respect to the Local Sheet in preference to the Local Group. Our Galaxy participates in the bulk motion of the Local Sheet away from the Local Void. The component of our motion on an intermediate scale is attributed to the Virgo Cluster and its surroundings, 17 Mpc away. The third and largest component is an attraction on scales larger than 3000 km s−1 and centered near the direction of the Centaurus Cluster. The amplitudes of the three components are 259, 185, and 455 km s−1, respectively, adding collectively to 631 km s−1 in the reference frame of the Local Sheet. Taking the nearby influences into account, particularly that of the Local Void, causes the residual attributed to large scales to align with observed concentrations of distant galaxies and reduces somewhat the amplitude of motion attributed to their pull. Concerning the motion of ~260 km s−1 away from the Local Void, given the velocities expected from gravitational instability theory in the standard cosmological paradigm, the distance to the center of the Local Void must be at least 23 Mpc from our position. The Local Void is extremely large.
TL;DR: In this article, the authors measured important flow quantities such as local void fraction, liquid velocity and the Reynolds stresses using both single-sensor and three-Sensor hot-film anemometer probes, and found that the observed wall peaking and coring phenomena in up and down flows could be predicted by considering the turbulence structure of the continuous phase and lateral lift force acting on the dispersed phase.
TL;DR: In this article, Haugboel et al. presented two Lemaitre-Tolman-Bondi (LTB) models with a series of observations, from type Ia supernovae to cosmic microwave background and baryon acoustic oscillations data, and showed that all observations can be accommodated within 1 sigma, for their models with four or five independent parameters.
Abstract: The possibility that we live in a special place in the universe, close to the centre of a large void, seems an appealing alternative to the prevailing interpretation of the acceleration of the universe in terms of a ΛCDM model with a dominant dark energy component. In this paper we confront the asymptotically flat Lemaitre–Tolman–Bondi (LTB) models with a series of observations, from type Ia supernovae to cosmic microwave background and baryon acoustic oscillations data. We propose two concrete LTB models describing a local void in which the only arbitrary functions are the radial dependence of the matter density ΩM and the Hubble expansion rate H. We find that all observations can be accommodated within 1 sigma, for our models with four or five independent parameters. The best fit models have a χ2 very close to that of the ΛCDM model. A general Fortran program for comparing LTB models with cosmological observations, that has been used to make the parameter scan in this paper, has been made public, and can be downloaded at http://www.phys.au.dk/~haugboel/software.shtml together with IDL routines for creating the likelihood plots. We perform a simple Bayesian analysis and show that one cannot exclude the hypothesis that we live within a large local void of an otherwise Einstein–de Sitter model.
TL;DR: In this paper, the local instantaneous formulation of the interfacial area concentration is introduced, and time and spatial averaged area concentrations are derived, and the local ergodic theorem is obtained for stationary developed two-phase flow based on the two-fluid model.