Convection in Rotating Fluids by B. M. Boubnov, G. S. Golitsyn (auth.)

By B. M. Boubnov, G. S. Golitsyn (auth.)

Spatial inhomogeneity of heating of fluids within the gravity box is the reason for all motions in nature: within the surroundings and the oceans in the world, in astrophysical and planetary gadgets. All ordinary gadgets rotate and convective motions in rotating fluids are of curiosity in lots of geophysical and astrophysical phenomena. in lots of business purposes, too (crystal development, semiconductor manufacturing), heating and rotation are the most mechanisms defining the constitution and caliber of the fabric.
reckoning on the geometry of the structures and the mutual orientation of temperature and gravity box, a number of phenomena will come up in rotating fluids, similar to standard and oscillating waves, in depth solitary vortices and normal vortex grids, interacting vortices and turbulent blending. during this publication the authors elucidate the actual essence of those phenomena, deciding on and classifying stream regimes within the area of similarity numbers. The theoretical and computational effects are offered in basic terms whilst the implications support to give an explanation for easy qualitative movement features.
The publication should be of curiosity to researchers and graduate scholars in fluid mechanics, meteorology, oceanography and astrophysics, crystallography, warmth and mass move.

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Addition of no-axisymmetric modes by Buell & Catton (1983) has revealed that in dependence on the Taylor number and geometry parameters, there is no unique way of changes of at transition from infinite layers to finite radius cylinders. 3 presents some values of the critical numbers Ra eT • 10-3 for various values of Taylor numbers and the aspect ratio 8 = j;- where r is the radius of the cylinder with rigid isothermal upper boundaries. 3 shows that for small aspect ratios 8, the rotation influences the critical Rayleigh number only weakly and results of the linear analysis for the infinite layer can differ substantially from experiments at 8 ::; 1.

7 a small increase of the Nusselt number below the theoretical critical Rayleigh number which is shown by the left arrow. 8. At values of the Taylor number Ta > 105 , the stationary convective motions arise at smaller Rayleigh numbers than those from the linear theory. For instance, at the experiments by T. Rossby for Ta = 108 , the experimental value of Ra er is only about a third of the theoretical 37 The onset of convection in rotating fluids. Experiments. one. Similar divergence of the experimental results with theoretical ones at larger values of Ta was noted in the work with the liquid helium.

6. 15. The visualization of the flow patterns was done by using bromthymole blue dye whose powder was spread over the upper surface. It solutes rather slow in water and first it dyes the upper colder film of the water and traces the motions of the colder fluid within the vessel. The motion is concentrating in intensive vortex sinks with axis parallel to the rotation axis of the vessel. The sinks are located at vertices of equisided triangles forming a triangle grid. 12) but this structure is different and more complicated.

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