Author(s)

Rabindra Nath Mondal, Samir Chandra Ray, Shinichiro Yanase

Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh.
Department of Mathematics, Jagannath University, Dhaka, Bangladesh.
Department of Mechanical and System Engineering, Faculty of Engineering, Okayama University, Okayama, Japan.

Combined effects of centrifugal and coriolis instability of the flow through a rotating curved duct with rectangular cross section have been studied numerically by using a spectral method, and covering a wide range of the Taylor number  for a constant Dean number. The rotation of the duct about the center of curvature is imposed in the positive direction, and the effects of rotation (Coriolis force) on the flow characteristics are investigated. As a result, multiple branches of asymmetric steady solutions with two-, three-and multi-vortex solutions are obtained. To investigate the non-linear behavior of the unsteady solutions, time evolution calculations as well as power spectrum of the unsteady solutions are performed, and it is found that the unsteady flow undergoes through various flow instabilities in the scenario “chaotic → multi-periodic → periodic → steady-state”, if Tr is increased in the positive direction. The present results show the characteristics of both the secondary flow and axial flow distribution in the flow.

Rotating Curved Duct; Dean Number; Taylor Number; Secondary Flow; Periodic Solution

Mondal, R. , Ray, S. and Yanase, S. (2014) Combined Effects of Centrifugal and Coriolis Instability of the Flow through a Rotating Curved Duct with Rectangular Cross Section. Open Journal of Fluid Dynamics, 4, 1-14. doi: 10.4236/ojfd.2014.41001.