In the present study, commonly used weakly compressible lattice Boltzmann method and Guo incompressible lattice Boltzmann method have been used to simulate fluid flow in a stirred tank. For this purpose a 3D Parallel code has been developed in the framework of the lattice Boltzmann method. This program has been used for simulation of flow at different geometries such as 2D channel fluid flow an...

Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising ...

For weakly compressible turbulent fluctuations there exists a small parameter, the square of the fluctuating Mach number, that allows an investigation using a perturbative treatment. The consequences of such a perturbative analysis in three different subject areas are described: 1) initial conditions in direct numerical simulations, 2) an explanation for the oscillations seen in the compressibl...

We describe a set of probability distributions, dubbed compressible priors, whose independent and identically distributed (iid) realizations result in p-compressible signals. A signal x ∈ R is called p-compressible with magnitude R if its sorted coefficients exhibit a power-law decay as |x|(i) . R · i−d, where the decay rate d is equal to 1/p. p-compressible signals live close to K-sparse signa...

This study analyses compressible gas flows through microchannels or microtubes, and develops two complete sets of asymptotic solutions. It is a natural extension of the previous work by Arkilic et al. on compressible flows through microchannels. First, by comparing the magnitudes of different forces in the compressible gas flow, we obtain proper estimations for the Reynolds and Mach numbers at ...

1. R. Hargreaves, A pressure-integral as kinetic potential, Phil. Mag. 436-444 (1908). 2. H. Bateman, Notes on a differential equation which occurs in the two-dimensional motion of a compressible fluid and the associated variational problems, Proc. Roy. Soo. London (A) 125, 598-618 (1929). 3. Chi-Teh Wang, Variational method in the theory of compressible fluid, J. of Aero. Sciences 15, 675-685 ...

nowadays, compressible flow transmission pipelines are used in many industrial processes. pipelines in chemical processes, gas turbine power plants, natural gas transmission lines, and high pressure steam transmission pipelines are some industrial examples. therefore, learning the manner of treatment of a transient compressible fluid flow in pipelines with junctions and branches is important. i...

The global-in-time existence of weak solutions to the barotropic compressible quantum Navier-Stokes equations with damping is proved for large data in three dimensional space. The model consists of the compressible Navier-Stokes equations with degenerate viscosity, and a nonlinear third-order differential operator, with the quantum Bohm potential, and the damping terms. The global weak solution...

This paper presents a new dynamic one equation eddy viscosity model for LES of compressible flows. Based on the compressible version of dynamic Smagorinsky model (DSM), the transport equation for sub-grid scale (SGS) kinetic energy (KE) is introduced to predict SGS KE, instead of the commonly used Yoshizawa’s model. The SGS KE transport equation for compressible flow is derived, and the unclose...