In order to get an analytical solution of governing partial differential equation via Laplace transformation, pseudo steady state consideration is imposed both on permeate as well as back transport flux.
This semi-analytical solution was developed for the steady state condition without the consideration of phase change phenomena.
A singular perturbation analysis is employed wherein certain quasi-steady-state considerations are made which lead to the definition of system manifolds and invariants along which the large-time dynamics of the system can be discerned without recourse to numerical integration.
The same steady-state considerations are expected to apply to any system of highly reversible variants in lac copy number.
Because this dynamic neglects the effects of polymorphism in the population beyond the mutant allele under consideration, the steady state solution provides a decent approximation of evolutionary dynamics when the population mutation rate is low (Nu≪1).
Our model makes several important assumptions that are worth clarifying, the most important being the consideration of steady state.
In this paper, a percolation model of pseudo-steady flow with the consideration of stress-sensitive effect was proposed to derive a deliverability equation of fractured vertical gas well featuring the non-linear flow of gas.
This paper investigates the internal and external structure effects on the fuel cell steady and transient operation with consideration of stoichiometric ratios, pumping power, and working temperature limits.
The significance of this result can be appreciated in consideration of the steady state changes (and the resulting distillation of the network shown in Figure 1B) and topological considerations.
Also, the aerodynamic coefficients are corrected by the implementation of Beddoes-Leishman dynamic stall model to take into consideration the non-steady effect.
In many realistic fluid-dynamical simulations the specification of the boundary conditions, the error sources, and the number of time steps to reach a steady state are important practical considerations.
