Control of a fluid velocity profile by injection and suction of non-ionized flow in presence of a uniform steady magnetic field has important technical applications. In this paper, the unsteady incompressible and viscous conducting fluid flow has been investigated in a circular channel. The channel wall has been assumed to be non-conducting and porous. It has been subjected to a uniform steady ...

This paper presents simulation results for a taxonomy of typical distribution feeders with various levels of photovoltaic (PV) penetration. For each of the 16 feeders simulated, the maximum PV penetration that did not result in steady-state voltage or current violation is presented for several PV location scenarios: clustered near the feeder source, clustered near the midpoint of the feeder, cl...

Abstract-A Hill’s Vortex equilibrium model is utilized to calculate the classical transport properties of a plasma confined in a field-reversed magnetic configuration. Consistent with zero dimensional steady state conservation of particles and energy we compute the corresponding fluxes at the separatrix using volume-averaged values for the density and conductivity. We find that the confinement ...

The formation dynamics of granular heaps in a vibrating bed is studied by a simple continuum model using the heap profile as the dynamical variable. Vibration increases the local height but is counter-balanced by the nonlinear coupling, which tends to suppress the growth of the height. The time evolution of the heap towards the steady state is obtained and it is demonstrated explicitly that the...

The temperature profile (TP) of the intracluster medium (ICM) is of primeval importance for deriving the dynamical parameters of the largest equilibrium systems known in the universe, in particular their total mass profile. Analytical models of the ICM often assume that the ICM is isothermal or parametrize the TP with a polytropic index γp. This parameter is ajusted to observations, but has in ...

Vertical soil water flow is analyzed for steady-state conditions through stratified profiles. All steady-state conditions are considered including upward flow (evaporation) and downward flow (infiltration) for an arbitrary number of layers of different materials. An algorithm is developed utilizing both analytical and numerical techniques, but perhaps more importantly, the framework provides a ...

When a resting enzyme is activated, substrate concentration profile evolves in its vicinity, ultimately tending to steady state. We use modern theories for many-body effects on diffusion-influenced reactions to derive approximate analytical expressions for the steady-state profile and the Laplace transform of the transient concentration profiles. These show excellent agreement with accurate man...

In thermal cracking plants, it is desired to apply an optimal temperature profile along the reactor to minimize the operation cost. In this article a simulator is developed by the use of a mathematical model, which describes the static operation of a naphtha thermal cracking pilot plant. The model is used to predict the steady state profiles of the gas temperature and product yields. Using ...