We study the Choquard equation with a local perturbation −Δu=λu+(Iα∗|u|p)|u|p−2u+μ|u|q−2u,x∈RN having prescribed mass ∫RN|u|2dx=a2. For L2-critical or L2-supercritical μ|u|q−2u, we prove nonexistence, existence and symmetry of normalized ground states, by using mountain pass lemma, Pohožaev constraint method, Schwartz symmetrization rearrangements some theories polarizations. In particular, our...

The present work focuses on the numerical modeling of combustion in liquid-propellant rocket engines. Pressure and temperature are well above thermodynamic critical points of both the propellants and then the reactants show liquid-like characteristics of density and gas-like characteristics for diffusivity. The aim of the work is an efficient numerical description of the phenomena and RANS simu...

The guidelines to constitute a database containing, for 1800 pure fluids, more than 300,000 pseudo-experimental vapor pressure, liquid density, enthalpy of vaporization, and heat capacity data are described. Such provides tool fair assessment the performances equations state correlate (or predict) properties components. In this paper, we use it assess performance four cubic (CEoSs): original So...

A semi-empirical equation of state has been studied for modelling vapour-liquid data of pure substances. The specific molecular based equation of state is employed here as basis because of its mathematical simplicity. The semi-empirical extension has been accomplished to real fluids by correlating the density dependence of the attraction term to vapour liquid data of a reference fluid. The resu...

Solubility of high molecular weight n-paraffins in supercritical carbon dioxide has been a matter of interest to many researchers. However, not sufficient solubility experimental data are available although the methods by which the experimental data are obtained have many varieties. Utilizing cubic equations of state is an effective method for solubility prediction of n-paraffins in supercr...

The cubic-plus-association (CPA) model is an equation of state (EoS) that combines the Soave−Redlich−Kwong (SRK) equation with the association term from Wertheim’s theory as used in statistical associating fluid theory (SAFT). In the form used here, the CPA EoS does not include separate terms for the polar and quadrupolar contributions. The capabilities and limitations of the CPA model when it ...

The Hirschsprung’s disease (HD) is characterized by absence of ganglion cells in the Myentric and Meissners plexus’ with nerve bundle hyperplasia [1,2]. The surgery for HD is changed from multistage surgery to single stage. Further, till date the superiority of either Duhamel, Swenson or soave procedure is comparable. It is unclear if one of these techniques yields significantly better general ...

Previous works for a liquid suddenly contacting gas at supercritical pressure show the coexistence of both phases and generation diffusion layers on sides liquid-gas interface due to local thermodynamic phase equilibrium. A related numerical study laminar mixing layer between streams in near field splitter plate suggests that mass, momentum thermal evolve self-similar manner very high pressures...