Onset of unsteady horizontal convection in rectangle tank at $Pr=1$

Details Onset of unsteady horizontal convection in rectangle tank at $Pr=1$ Onset of unsteady horizontal convection in rectangle tank at $Pr=1$

2007-02-05

arxiv.org/abs/physics/0702037v3

Chin. Phys. Lett. 2008, 25(6), 2121-2124

Physics

Fluid Dynamics

4pages, 6 figures, extension of Chin. Phys. Lett. 2008, 25(6), in press

Scientific paper

10.1088/0256-307X/25/6/054

The horizontal convection within a rectangle tank is numerically simulated. The flow is found to be unsteady at high Rayleigh numbers. There is a Hopf bifurcation of $Ra$ from steady solutions to periodic solutions, and the critical Rayleigh number $Ra_c$ is obtained as $Ra_c=5.5377\times 10^8$ for the middle plume forcing at $Pr=1$, which is much larger than the formerly obtained value. Besides, the unstable perturbations are always generated from the central jet, which implies that the onset of instability is due to velocity shear (shear instability) other than thermally dynamics (thermal instability). Finally, Paparella and Young's [J. Fluid Mech. 466 (2002) 205] first hypotheses about the destabilization of the flow is numerically proved, i.e. the middle plume forcing can lead to a destabilization of the flow.

Affiliated with

Also associated with

No associations

Rating

Onset of unsteady horizontal convection in rectangle tank at $Pr=1$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Onset of unsteady horizontal convection in rectangle tank at $Pr=1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Onset of unsteady horizontal convection in rectangle tank at $Pr=1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714584