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This was verified by conducting Computational Fluid Dynamics (CFD) modeling [using CFD-ACE; www.cdfrc.com] of the setup, where, a second order spatial differencing scheme was chosen for the solver as it achieves a high order of accuracy.
The simulation results were similar to the theoretical prediction as described by Ficks law (Eq. 4).

Later Minzer et al. (2006) added transient simulation by using the simple model.
Liquid flow and phase holdup-measurement and CFD modeling for two-and three-phase bubble columns (2002), J.
,CFD modeling of flow profiles and interfacial phenomena in two-phase flow in pipes, (2006) J.Chemical Engineering and Processing 45, 1, 55–65

The third one is simulation results and discussion.
Simulation and Discussions In this section we use ESI-CFD+ software package for simulation (Dauderstadt, et al. 1996, 2008).

Fig.5 Transient thermal response of the inner chamber after continuous shootings ICEM CFD is used to complete the structured hexahedral mesh division for several computational domains of interlayer cooling barrel coupled heat transfer model.
Transient thermal response of the interlayer water cooling of the naval gun barrel Numerical simulations indicate that, compared with natural air cooling, the transient thermal response of gun barrel under the interlayer water cooling has gained control.
Numerical simulations show that, reducing the radial distance between the naval gun barrel inner chamber surface and interlayer cooling channel, can further enhance heat transfer and reduce the peak temperature of transient thermal response.
Numerical simulations show that, reducing the equivalent diameter of interlayer cooling channel and increasing the number of channels can increase the heat transfer area in limited way, thus enhance heat transfer somewhat and improve the cooling performance.

Fair agreement is achieved between the present numerical simulation and wind tunnel test results.
Experimental identification and CFD simulation of aerodynamic derivatives for the extremely high reduced velocity by forced vibration technique is underway and the results will be elsewhere when available.

An axial compression model was developed so that fluid simulation studies can be performed.
Conventional compressor design would utilize Computational Fluid Dynamics (CFD) analysis which requires high computational cost and is time consuming.
(1) (2) Computational Modeling and Simulations.
These results would be used to build a simulation model.
The simulation process utilized the Reynolds Stress Model (RSM).

Structural simulation is important for designing warp knitted fabric because of their typically three-dimensional structures.
Zahra Ettehadi [8] investigated the air permeability of warp knitted fabrics using experimental and numerical simulation methods.
The authors had coupled the investigated geometry models with a computational fluid dynamics model for flow simulation.
Recently, the 3D modelling method and software were used widely for simulation of the warp knitted structures.
Zarrebini, Experimental and CFD Analysis of Air Permeability of Warp-knitted Structures, Fibers and Polymers, Vol.21 (2020) 1362-1371

Some research paper has been published about pulse electrochemical machining gap detection [5-8], technical characteristics [10-11], computer simulation [12-13] and flow characters between electrodes.
Numerical Simulation of Flow Field of NC-Electrochemical Contour Evolution Machining Based on CFD Technology.
Journal of System Simulation. 1, (2009),p.73-75 In Chinese [12] Zhengyang Xu, Di Zhu, Xianchuan Shi.

Steady-steady laminar flow simulations are performed to study the combustion characteristics in microchannels.
Table 1: Inputs for oxy-fuel combustion Mass fractions CH4 O2 N2 CO2 Oxy-fuel 0.054 0.21758 -- 0.72842 Numerical Validation The present work investigates the reaction and transport of methane/air mixtures in micro-burners through 2D fully elliptic simulations by treating explicitly heat transfer through the wall.
Two dimensional numerical simulations were successfully conducted by incorporating a radiation sub model into an existing microchannel combustion model.
Vlachos, "Combustion characteristics and flame stability at the microscale: a CFD study of premixed methane/air mixtures," Chemical Engineering Science, vol. 58, pp. 4871-4882, 2003.

Numerical Simulation Methods A commecial CFD softrware of FLUENT was used in this study[7].
Axis was set at the left boundary of the simulation region and no parameter was defined.
Zone where downward vertical velocity is not less than 0.000275m/s is defined as the core algae inhibition zone, area of the core algae inhibition zone was calculated by PHOTOSHOP software, the ratio of the core algae inhibition zone to the whole simulation domain was defined as the percentage of core algae inhibition zone.