5 citations · 10 across the 6 of their papers we have counts for
7 papers
Analysis of Least square estimator for simple Linear Regression with a uniform distribution error
M Jlibene, S Taoufik, S Benjelloun
We study the least square estimator, in the framework of simple linear regression, when the deviance term with respect to the linear model is modeled by a uniform dis…
On the sound speed in two-fluid mixtures and the implications for CFD model validation
Saad Benjelloun, Jean-Michel Ghidaglia
Study of the propagation of sound in a single non-ideal fluid originates with Stokes in 1845 and Kirchhoff in 1868. The situation is much more complex in the case of two-fluid flow…
Equilibrium thermodynamic properties of two-component and two phase mixtures
S Benjelloun
We develop a general thermodynamic framework for determining the equilibrium thermodynamic and thermophysical properties of systems composed of two constituents or two phases. The…
On the sound dispersion and attenuation in fluids due to thermal and viscous effects
Azeddine Zaidni, Saad Benjelloun
In this paper, we derive a dispersion relation for sound waves in viscous and heat conducting fluids. In particular this dispersion (i.e. variation of speed of sound with frequency…
Thermodynamic identities and thermodynamic consistency of Equation of States
Saad Benjelloun
We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal an…
On the dispersion relation for compressible Navier-Stokes Equations
Saad Benjelloun, Jean-Michel Ghidaglia
In this paper we revisit the classical sound dispersion and attenuation theory due to Stokes [5], 1845, and Kirchhoff [3], 1868, for the propagation of sound in non-ideal fluids. I…
Existence theory for a kinetic-fluid coupling when small droplets are treated as part of the fluid
Saad Benjelloun, Laurent Desvillettes, Ayman Moussa
We consider in this paper a spray constituted of an incompressible viscous gas and of small droplets which can breakup. This spray is modeled by the coupling (through a drag force…