Patterns in Rotating Patterns in Rotating Rayleigh-B Rayleigh-B énard énard Convection at High Convection at High Rotation Rates Rotation Rates Presented by: P. L. Mutyaba Presented by: P. L. Mutyaba [email protected][email protected]P. L. Mutyaba, Terri Kimmel, Janet D. P. L. Mutyaba, Terri Kimmel, Janet D. Scheel Scheel California Lutheran University California Lutheran University
16
Embed
Patterns in Rotating Rayleigh-Bénard Convection at High Rotation Rates Presented by: P. L. Mutyaba [email protected] P. L. Mutyaba, Terri Kimmel, Janet.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Patterns in Rotating Patterns in Rotating Rayleigh-BRayleigh-Bénard énard
Convection at High Convection at High Rotation RatesRotation Rates
Presented by: P. L. MutyabaPresented by: P. L. [email protected]@clunet.edu
P. L. Mutyaba, Terri Kimmel, Janet D. ScheelP. L. Mutyaba, Terri Kimmel, Janet D. Scheel
California Lutheran UniversityCalifornia Lutheran University
ResultsResultsAspect Ratio = 5, Aspect Ratio = 5, ΩΩ=170, =170, εε=0.09=0.09
Coriolis and Coriolis and centrifugal forcescentrifugal forces
ResultsResults
Coriolis force onlyCoriolis force only
Aspect Ratio = 5, Aspect Ratio = 5, ΩΩ=170 , =170 , εε =0.09 =0.09
DiscussionDiscussionThe inclusion of the centrifugal and Coriolis The inclusion of the centrifugal and Coriolis forces provides better agreement with forces provides better agreement with experiment. (Aspect Ratio = 5, experiment. (Aspect Ratio = 5, ΩΩ=170, =170, εε=0.09=0.09))
Bajaj et al.(1998)Bajaj et al.(1998) Coriolis and Coriolis and centrifugal forcescentrifugal forces
Coriolis forceCoriolis force
DiscussionDiscussionThe inclusion of the Coriolis force only provides The inclusion of the Coriolis force only provides better agreement with other numerical better agreement with other numerical simulations. (Aspect Ratio = 5,simulations. (Aspect Ratio = 5,ΩΩ=274,=274,εε =0.004, =0.004, εε=0.02=0.02 ) )
SSáánchez-nchez-ÁÁlvarez et al.lvarez et al.(2005)(2005)
Coriolis and Coriolis and centrifugal forcescentrifugal forces
Coriolis forceCoriolis force
The oscillating rolls may be KThe oscillating rolls may be Küppers-üppers-
Lortz Instability with a switching angle of Lortz Instability with a switching angle of
90 °.90 °.
The centrifugal force should be included The centrifugal force should be included
in order to numerically model the RBC in order to numerically model the RBC
experimentsexperiments..
ConclusionConclusion
The effects of the fictitious forces on the growth The effects of the fictitious forces on the growth
rates of the modes are necessary to understand rates of the modes are necessary to understand
pattern formation.pattern formation.
The cause of the square patternsThe cause of the square patterns
The oscillation of the square bulkThe oscillation of the square bulk
Future WorkFuture Work
AcknowledgementsAcknowledgements Dr. Janet ScheelDr. Janet Scheel