Numerical Study of the Exact Solution of the Navier-Stokes Equation Describing Free-Boundary Fluid Flow

2016 ◽  
Keyword(s):  
Exact Solution ◽  
Fluid Flow ◽  
Free Boundary ◽  
Stokes Equation ◽  
Numerical Study ◽  
Navier Stokes ◽  
Navier Stokes Equation

An exact solution of the Navier-Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions

1986 ◽  
Vol 163 ◽  
pp. 141-147 ◽  
Author(s):  
J. M. Dorrepaal
Keyword(s):  
Exact Solution ◽  
Stagnation Point ◽  
Stokes Equation ◽  
Similarity Solution ◽  
Two Dimensions ◽  
Navier Stokes ◽  
Angle Of Incidence ◽  
Arbitrary Angle ◽  
Navier Stokes Equation ◽  
Flat Wall

A similarity solution is found which describes the flow impinging on a flat wall at an arbitrary angle of incidence. The technique is similar to a method used by Jeffery (1915) and discussed more recently by Peregrine (1981).

scholarly journals Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation

2017 ◽  
Vol 13 (2) ◽  
pp. 7123-7134 ◽  
Author(s):  
A. S. J Al-Saif ◽  
Takia Ahmed J Al-Griffi
Keyword(s):  
Exact Solution ◽  
Stokes Equation ◽  
Homotopy Perturbation Method ◽  
Differential Operators ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
One Dimensional ◽  
Homotopy Perturbation ◽  
Adomian Decomposition ◽  
Splitting Time

We have proposed in this  research a new scheme to find analytical  approximating solutions for Navier-Stokes equation  of  one  dimension. The  new  methodology depends on combining  Adomian  decomposition  and Homotopy perturbation methods  with the splitting time scheme for differential operators . The new methodology is applied on two problems of  the test: The first has an exact solution  while  the other one has no  exact solution. The numerical results we  obtained  from solutions of two problems, have good convergent  and high  accuracy   in comparison with the two traditional Adomian  decomposition  and Homotopy  perturbationmethods . 

MODELING THE SEPARATION PROCESS IN A HYDROCYCLONE

2020 ◽  
Author(s):  
Сергей Ильдусович Валеев ◽  
Владимир Александрович Савчук
Keyword(s):  
Stokes Equation ◽  
Effective Viscosity ◽  
Numerical Study ◽  
Separation Process ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Light Impurities

На основе уравнения Навье-Стокса проведено численное исследование эффективной вязкости в цилиндрическом гидроциклоне для разделения эмульсий с малым содержанием легких примесей. Установлено, что эффективная вязкость в гидроциклоне возрастает с увеличением разгрузочного соотношения. On the basis of the Navier-Stokes equation, a numerical study of the effective viscosity in a cylindrical hydrocyclone for the separation of emulsions with a low content of light impurities is carried out. It was found that the effective viscosity in a hydrocyclone increases with an increase in the unloading ratio.

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