Collapse of the rotating magnetized molecular cloud core is studied with the axisymmetric magnetohydrodynamical (MHD) simulations. Due to the change of the equation of state of the interstellar gas, the molecular cloud cores experience several different phases as collapse proceeds. In the isothermal run-away collapse (n ∼< 10 H2 cm ), a pseudo-disk is formed and it continues to contract till th...

an analytical equation of state has been previously modified by papari et al. for representing the volumetric properties of molecular fluids. however the performance of that eos has not been yet well investigated for refrigerant fluids. this study extended that equation to 19 liquid refrigerants to predict their densities at isothermal and saturated states. two temperature-independent parameter...

The ability to produce small scale, crystalline silicon spheres is of significant technological and scientific importance, yet scalable methods for doing so have remained elusive. Here we demonstrate a silicon nanosphere fabrication process based on an optical fibre drawing technique. A silica-cladded silicon-core fibre with diameters down to 340 nm is continuously fed into a flame defining an ...

Simulation of noncontinuum gas flows presents tremendous challenges, especially for nanoscale devices that usually exhibit low speeds and isothermal conditions. Such simulations are often achieved through use of the Boltzmann Bhatnagar-Gross-Krook equation, which forms the foundation for the lattice Boltzmann (LB) method. Accuracy of the LB method in noncontinuum flows is widely assumed to depe...

The Cauchy problem and the initial-boundary value problem for the Euler-Poisson system have been extensively investigated, together with a study of scaled and unscaled asymptotic limits. The pressure-density relationships employed have included both the adiabatic (isentropic) relation as well as the ideal gas law (isothermal). The study most closely connected to this one is that of S. Nishibata...

In Part I, analytical solutions were given for the non-linear isothermal heterogeneous conversion of a porous solid particle. Account was taken of a reaction rate of general order with respect to the gas reactant, intrinsic reaction surface area and effective pore diffusion, which change with solid conversion and external film transport. In this part, the analytical solutions are extended to no...

A new, accelerated algorithm for a system of elastic hard-spheres in which one of the particles (a colloid) is significantly heavier than the others is presented. The algorithm follows the framework of the stochastic heterogeneous multiscale method. It is shown that, in the limit in which the ratio between the light and the heavy particles approaches zero, the dynamics of the colloid is given b...

A new isothermal equation of state (EOS) for solids is derived by starting from the theory of lattice potential and using an analytical function for the volume dependence of the short-range force constant. A critical analysis of the isothermal EOSs: Murnaghan EOS, Vinet EOS, and the new EOS derived here, is presented by investigating the pressure-volume data for rare gas solids, metals and mine...

An analytical model for transport of rarefied non-isothermal gas in a cylinder with repulsive wall–gas interaction is developed, solving the stationary, collisionless Boltzmann equation. The results are compared to well-known ordinary Knudsen diffusion, and effect wall presented as correction factors results. Detailed physical interpretations given, showing how inhibits particle flow through cy...