Mathematical Model of Stability Analysis of a Disturb System

Mahdi F. Mosa

This model deals with the stability of a system of a fluid flow through a horizontal channel with porous walls subject to a disturbance. The system is formulated through partial differential equations and investigated through a mathematical methods and matrices to separate the governing partial differential equations into two parts steady state and disturb partial differential equations. After a suitable mathematical manipulation, the neutral line between the stable and unstable regions is obtained which include the relation between the physical numbers. It was found that If (8X_1^2+Y_1^2)/(8X_1 〖√X〗_1 )….-D_2>0 , The system is unstable. (8X_1^2+Y_1^2)/(8X_1 〖√X〗_1 )….-D0 , The system is unstable. -(8X_1^2+Y_1^2)/(8X_1 〖√X〗_1 )….-D_2he regions of stable and unstable fluid.

Select Volume / Issues:

• Volume 6,Issue 5, Sept. 2015

Year:

2015

Type of Publication:

Article

Keywords:

Modeling; Fluid; Disturbance; Stability; Unstable; Partial Differential Equations

Journal:

IJECCE

Volume:

6

Number:

5

Pages:

608-613

Month:

September