Stability lecture 15

Stability lecture 15 - Hydrodynamic Stability Lecture 15...

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Hydrodynamic Stability Lecture 15 Rayleigh Benard Convection Continued… Ruby Krishnamurti (FSU). 1968, JFM, 33, 445. 1970, JFM, 42, 295. Looked at allowing the heat flux to slowly increase, causing the lower temperature to slowly increase as well. The temperature profile becomes slightly nonlinear. Very slow – obtained rolls. Unsteady case – obtained hexagon pattern. No effects of fluid properties, surface tension, viscosity, conductivity. Made careful measurements of heat flux and visualizations, how flow developed. Water 20 Pr ~ 7 0 C Air 20 0 Pr ~ 1 C Mercury Pr ~ 0.025 The effect of shear reference. Reference: Jim Deardorff 1965, Physics of Fluids, 8, 1027. Also Jefferies, (1928) 1
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Extend the analysis. Replace. () 2 2 with v t Uz v tx  −∇   ∂∂ +− Concluded – if rolls are aligned with flow ( x - direction) 0 x = No effect on linear instability, but if they are not aligned he solved the equations numerically. Strong effect of shear. He found that shear tends to be stabilizing (rolls perpendicular to flow).
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This note was uploaded on 06/07/2011 for the course EOC 6934 taught by Professor Staff during the Fall '08 term at University of Florida.

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Stability lecture 15 - Hydrodynamic Stability Lecture 15...

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