scholarly journals An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
U. Filobello-Nino ◽  
H. Vazquez-Leal ◽  
R. Castaneda-Sheissa ◽  
V. M. Jimenez-Fernandez ◽  
A. L. Herrera-May ◽  
...  
Keyword(s):  
Approximate Solution ◽  
Steady State ◽  
Perturbation Method ◽  
Numerical Solutions ◽  
Absolute Error ◽  
Quasi Steady State ◽  
General Behaviour ◽  
Analytical Approximate Solution

This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is shown that the obtained solutions are accurate, and therefore, they explain the general behaviour of the Michaelis-Menten mechanism.

Laminar flow past an abruptly accelerated elliptic cylinder at 45° incidence

1974 ◽  
Vol 65 (4) ◽  
pp. 711-734 ◽  
Author(s):  
H. J. Lugt ◽  
H. J. Haussling
Keyword(s):  
Steady State ◽  
Numerical Solutions ◽  
Fluid Flows ◽  
Elliptic Cylinder ◽  
Finite Difference Schemes ◽  
Quasi Steady State ◽  
Constant Vorticity ◽  
Transient Period ◽  
Incompressible Fluid Flows ◽  
Steady State Solutions

Numerical solutions for laminar incompressible fluid flows past an abruptly started elliptic cylinder at 45° incidence are presented. Various finite-difference schemes for the stream-function/vorticity formulation are used and their merits briefly discussed. Almost steady-state solutions are obtained forRe= 15 and 30, whereas forRe= 200 a Kármán vortex street develops. The transient period from the start to the steady or quasi-steady state is investigated in terms of patterns of streamlines and lines of constant vorticity and drag, lift and moment coefficients.

Comparison of Unsteady State and Quasi Steady State Modeling for Hydrocarbons in a Monolithic Catalytic Converter

2008 ◽  
Vol 6 (1) ◽  
Author(s):  
Sanchita Chauhan ◽  
V. K. Srivastava
Keyword(s):  
Steady State ◽  
Numerical Solutions ◽  
Catalyst Surface ◽  
Catalytic Converter ◽  
Heterogeneous Reactions ◽  
Exhaust Gas ◽  
Quasi Steady State ◽  
Unsteady State ◽  
Heat And Mass Transport ◽  
State Models

In this study numerical solutions are obtained using quasi steady state and unsteady state conditions to predict the reduction in concentrations of polluting hydrocarbons. Before their release to the atmosphere these gases undergo catalytic after-treatment in a converter, causing a decrease in their concentrations. Both homogenous as well as heterogeneous reactions are considered for hydrocarbons propylene and propane. Quasi steady and unsteady state models are developed to simulate heat and mass transfer between the exhaust gas and the catalyst surface, convective heat and mass transport, chemical reactions and the related heat release along with heat conduction in the substrate.

scholarly journals A handy, accurate, invertible and integrable expression for Dawson’s function

2019 ◽  
Vol 29 ◽  
pp. 1-18
Author(s):  
U. Filobello-Nino ◽  
H. Vazquez-Leal ◽  
A. L. Herrera-May ◽  
R. C. Ambrosio-Lazaro ◽  
R. Castaneda-Sheissa ◽  
...  
Keyword(s):  
Approximate Solution ◽  
Heat Conduction ◽  
Relative Error ◽  
Heat Conduction Problem ◽  
Absolute Error ◽  
Elementary Functions ◽  
Maximum Absolute Error ◽  
Integral Approximation ◽  
Analytical Approximate Solution

This article proposes a handy, accurate, invertible and integrable expression for Dawson’s function. It can be observed that the biggest relative error committed, employing the proposed approximation here, is about 2.5%. Therefore, it is noted that this integral approximation to Dawson’s function, expressed only in terms of elementary functions, has a maximum absolute error of just 7 × 10-3. As a case study, the integral approximation proposed here will be applied to a nonclassical heat conduction problem, contributing to obtain a handy, accurate, analytical approximate solution for that problem

scholarly journals Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
U. Filobello-Nino ◽  
H. Vazquez-Leal ◽  
A. Sarmiento-Reyes ◽  
B. Benhammouda ◽  
V. M. Jimenez-Fernandez ◽  
...  
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Perturbation Method ◽  
Nonlinear Differential Equation ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Approximate Solutions ◽  
Accurate Solution ◽  
Partial Slip ◽  
Homotopy Perturbation

The homotopy perturbation method (HPM) is coupled with versions of Laplace-Padé and Padé methods to provide an approximate solution to the nonlinear differential equation that describes the behaviour of a flow with a stretching flat boundary due to partial slip. Comparing results between approximate and numerical solutions, we concluded that our results are capable of providing an accurate solution and are extremely efficient.

Network reconstruction based on steady-state data

2008 ◽  
Vol 45 ◽  
pp. 161-176 ◽  
Author(s):  
Eduardo D. Sontag
Keyword(s):  
Steady State ◽  
Reverse Engineering ◽  
Theoretical Method ◽  
Network Reconstruction ◽  
Quasi Steady State ◽  
State Data

This paper discusses a theoretical method for the “reverse engineering” of networks based solely on steady-state (and quasi-steady-state) data.

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