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Numerical Analysis of the Problem of Flow Past a Cylindrical Body Applying the R-Functions Method and The Galerkin Method

Lamtyugova S.N., Sidorov M. V.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

2014

Vol. 3, No 3

43--50

The article considers the stationary problem of viscous incompressible fluid flow past a cylindrical body. For solving the problem it is proposed a numerical method, based on the joint use of R-functions method and the Galerkin method. The computational experiment has been conducted for the task of flow past square cylinder for different Reynolds numbers.

On the plane steady flows of a viscous incompressible fluid of finite electrical conductivity in the presence of a magnetic field

Naeem R. K., Shad Ahsan S. M.

Applied Mechanics and Engineering

2000

Vol. 5, no 4

897-911

Basic equations describing the motion of a viscous incompressible fluid of finite electrical conductivity in the presence of a magnetic field (1) for constant vorticity flows are recast in a new form. It is indicated that the other flow variables can be expressed either in terms of the magnetic flux function 'fi' or the stream function 'psi' where these functions satisfy a partial differential equation whose every solution, including Naeem (1996), is a solution to the basic flow equations and (2) for variable vorticity flows an unknown function f(r) is introduced in the basic flow equations. The solutions are determined and one solution admits, as a particular case, Naeem's solution by appropriately choosing the arbitrary constants therein. Some applications of the solutions to physically possible situations are also presented.