Numerical solution of a third-order Falkner–Skan-like equation arising in boundary layer theory

2020 ◽  
Vol 30 (7) ◽  
pp. 073119
Author(s):  
Basem Attili
Keyword(s):  
Boundary Layer ◽  
Numerical Solution ◽  
Boundary Layer Theory ◽  
Third Order

Numerical solution of some problems of boundary-layer theory

1966 ◽  
Vol 9 (10) ◽  
pp. 1095-1102 ◽  
Author(s):  
L.A. Vulis ◽  
V.P. Kashkarov ◽  
A.T. Lukianov
Keyword(s):  
Boundary Layer ◽  
Numerical Solution ◽  
Boundary Layer Theory

scholarly journals Mathematical modeling of a submerged jet of electric wind

Vestnik IGEU ◽  
2021 ◽  
pp. 51-58
Author(s):  
V.K. Semenov ◽  
A.A. Belyakov ◽  
N.B. Ivanova
Keyword(s):  
Boundary Layer ◽  
Numerical Solution ◽  
Corona Discharge ◽  
Reynolds Equation ◽  
Strong Electric Field ◽  
Boundary Layer Theory ◽  
Full Scale ◽  
Raw Material ◽  
Gas Cleaning ◽  
Electric Wind

Technological processes of electro-gas dynamics of dispersed systems are based on charging and transporting dispersed raw material particles in a strong electric field of a corona discharge. It is accompanied by turbulent gas motion caused by momentum transfer of ions to gas molecules. This accompanying motion is called electric wind. It must be considered when calculating the trajectories of particles and devices design. In recent years, equipment is being developed, the operation of which is based on the direct use of electric wind. In most cases these studies are based on experimental research and empirical calculation formulas, therefore, to make the design and construction of this equipment science oriented, it is necessary to develop mathematical models and methods for calculating this phenomenon. The object of the research is a unipolar electric corona discharge of direct current between a negative corona wire and a flat electrode in the form of a mesh. The calculation of a turbulent jet of an electric wind is considered both within the framework of the boundary layer theory and in a full-scale formulation using the k- и k- turbulence models in the Comsol program. Two new solutions for the velocity field of a submerged flat jet of electric wind are found and compared. They are an analytical solution based on the boundary layer theory and a numerical solution in a full-scale formulation based on the Reynolds equation integration. The novelty of the solutions is that they are applied for a two-dimensional problem and consider the turbulent motion of gas. The phenomenon of electric wind is widely applied in modern technologies that allow electric and gas cleaning, disinfection, and water purification from organic impurities, as well as treatment and disinfection of surfaces and air which is especially important recently. In the case of jet spread of electric wind in a closed channel, the boundary layer approximation conditions are satisfied, and a self-similar solution can be used. In the case of an open jet, the calculation should be carried out in a full-scale formulation of the problem based on the numerical solution of the Reynolds equation.

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