We analyze a quasi-static Biot system of poroelasticity for both compressible and incompressible constituents. The main feature this model is nonlinear coupling pressure dilation through the system's permeability tensor. Such has been analyzed previously from point view constructing weak solutions fully discretized approach. In treatment, we consider simplified Dirichlet type boundary condition...

In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...

The modeling of complex systems typically involves reducing the number of free parameters in a model of the system, to a tractable quantity, while keeping the essential features of the phenomena under study (1). Ecological models frequently start with an assumption of functional forms such as the logistic term in Eq. 4 or the saturating function in Eq. 1 as these functional forms can arise in m...

We study the stability of a viscous incompressible fluid ring on a partially wetting substrate within the framework of long-wave theory. We discuss the conditions under which a static equilibrium of the ring is possible in the presence of contact angle hysteresis. A linear stability analysis (LSA) of this equilibrium solution is carried out by using a slip model to account for the contact line ...

This paper presents the analysis of the impedance of a short dipole antenna in a cold plasma using a quasi-static approach. Two radically different current distributions on the antenna are considered and their influences on the antenna impedance are studied. These distributions include a one-dimensional (1-D) triangular distribution and a three-dimensional (3-D) exponential current distribution...

In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...

We use analytic and numerical methods to determine the density of states of a one-dimensional electron gas coupled to a spatially random quasi-static back-scattering potential of long correlation length. Our results provide insight into the ’pseudogap’ phenomenon occurring in underdoped high-Tc superconductors, quasi-one-dimensional organic conductors and liquid metals. They demonstrate the imp...

We solve the long-standing problem of the large overestimation of the static polarizability of conjugated polymers obtained using the local density approximation within density-functional theory. The local approximation is unable to describe the highly nonlocal exchange and correlation (xc) effects found in these quasi-one-dimensional systems. Time-dependent current-density-functional theory en...

It is shown that a variational approach with fermionic squeezed states to manyfermion systems such as pairing model is one of useful methods beyond the usual Hartree-Fock-Bogoliubov approximation. A pairing-type quasi-spin squeezed state is constructed and adopted as a trial state in the variational method. By using this state, quantum fluctuations are taken into account. In pairing model, dyna...