Stability analysis of jeffery-hamel similarity solution and its relation to flow in a diverging channel

Abstract

Stability analysis of Jeffery-Hamel similarity solution and its relation to flow in a Diverging Channel is studied numerically in this thesis. Numerical results are presented for the two-dimensional flow in a wedge separated by an angle 2αand bounded by circular arcs at the inlet/outlet for radial outflow of the fluid. The Physical problem is presented mathematically governed by a non-dimensional form of equations with appropriate boundary conditions.Hence it is solved by employing theFinite Element Method and Hermite-Pade ́ Approximant Method. The investigations are reported for different parameters such as Reynolds number, angles,and inlet/outlet radius ratio parameter. These results are presented graphically in the form of streamlines and velocity profiles. Also, the stability of the solutions is shown by pitchfork bifurcation and α-Re relation for two different kinds of inlet profiles. Comparisons with previously published results are performed and the results are found to be in excellent agreement.