Keywords : flow


Flow Stability Analysis of the Shallow Water Equations Model

Ashraf S. Aboudi

AL-Rafidain Journal of Computer Sciences and Mathematics, 2009, Volume 6, Issue 2, Pages 101-118
DOI: 10.33899/csmj.2009.163816

This paper is devoted to analyze the stability of shallow water of a system of equations that was exposed to disturbancing. This analysis is done by finding the eigenvalues of the system which enables us to investigate the grow of disturbance after setting shallow water equations in linearization form. It is obtain from the results analysis that the equations are stable when the real part of wave velocity is negative ,and unstable when it is positive.
 

Vertical Flow in Viscous Thin Films

Khidr M.S. Khidr; Hikmat Sh. Mustafa

AL-Rafidain Journal of Computer Sciences and Mathematics, 2008, Volume 5, Issue 1, Pages 33-41
DOI: 10.33899/csmj.2008.163960

The aim of this paper is to investigate the vertical flow in thin films of an incompressible liquids with no inertia force. Continuity equation and Navier-Stokes equations are used to obtain the equation that governs this type of flow, this equation is solved by using numerical methods to find the thickness of film.
 

Free Convection Flow of Viscous Dissipative Fluid in a Rectangular Cavity

Ahmed M. Jassim; Tagread H. Shuker

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 2, Pages 79-88
DOI: 10.33899/csmj.2007.164017

Free convection flow of incompressible viscous fluid with dissipation in a rectangular cavity has been studied, a finite difference technique based on ADI scheme is adopted in the solution of the problem. The effect of dissipation parameter (), which usually appears as a term in the energy equation, has been taken into account.The results indicated that the effect of dissipation number () was very small which is accepted with the fact of neglecting the dissipation function in the energy equation of most convection problems.
 

Flow of Thin Liquid Film on an Inclined Solid Surface

Khidr M.S. Khidr

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 2, Pages 77-86
DOI: 10.33899/csmj.2007.164028

In this paper, we consider flow of thin liquid film on an inclined solid surface with an inclination angle . We use the Navier-Stokes equations to obtain equations that govern such flow .We solve these equations analytically with an appropriate boundary conditions to determine the thickness of the film for different values of the inclined angle .
 

Steady Flow in a Symmetric Thin Liquid Film on an Inclined Surface

Joseph Gh. Abdul-Ahad; Khidr M.S. Khidr

AL-Rafidain Journal of Computer Sciences and Mathematics, 2005, Volume 2, Issue 2, Pages 51-65
DOI: 10.33899/csmj.2005.164088

In this paper, we consider steady incompressible viscous flow in a symmetric thin liquid film on an inclined surface with angle b in two dimensions with no inertia force. The surface of the film is taken to be real that is there is no shear stress on the liquid surface. We found the differential equations that govern the flow. We solve these equations numerically by using Rang Kutta method.