Abstract:
Taylor Couette flow is very common in engineering systems. It has been the basis for various fluid flow observations like viscometric viscosity measurements and observation of first successful validation of Linear stability analysis. It becomes interesting to find out what prompts the development of flow from highly structured laminar flow to totally chaotic turbulent flow. So far, researchers and scientists have identified the interface between laminar and turbulent as ‘transition zone’, the dynamics of flow within the transition zone comes within the framework of stability analysis. Stability analysis is a predictive tool for prediction of the onset of instabilities by identifying those set of parameters that cause this phenomena. The normal mode perturbations are introduced in the velocity field to study the growth/decay rates of the perturbations as the flow evolves in time. Reynolds number, axial wavenumber, aspect ratio of cylinders, velocity ratio of cylinders, Hartmann number, magnetic Reynolds number can be identified as input to the dynamic system and the output is the temporal frequency of perturbations. Finally neutral stability curves are plotted to figure out the ‘critical Reynolds number’ and the effect of applied magnetic field on it. The work could be seen as an actualization of Linear stability theory to TC MHD flows and characterize flow system behavior.