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Mixed and forced convection

  If a forced flow interacts with buoyancy forces the wall region and, in part, the conductive layer will be destabilized by the velocity gradients. In the turbulent region (see fig. gif) the turbulent diffusivity will increase rapidly with the distance from the surface, with a consequent reduction of the temperature fluctuations. The profile of above the surface will be such that the maximum is at the interface between the viscous-conductive layer and the overlying turbulent layer but will decrease more rapidly than in the free convection case.

  
Figure: Temperature and velocity fluctuations in presence of forced flow over a horizontal plane

All the experimental and anecdotal evidence shows that very little seeing will be produced if a forced convection regime is fully established as in that case the viscous-conductive layer becomes very thin and the temperature turbulence profile decreases very rapidly. A more significant case is the intermediate situation in which a weak air flow interacts with free convection producing a mixed convection regime. This will be characterized by the Froude (gif) and Reynolds (gif) numbers. When the Froude number is large, forced convection is dominant and therefore mirror seeing should disappear. When the Froude number is small, free convection is dominant.

The amplitude of the temperature turbulence profile is determined by the turbulent eddy diffusivity so that for our purpose the turbulence regime similarity is defined by the turbulent Reynolds number, proportional to the turbulence intensity - see (gif):

Therefore in the mixed convection case, identity of the Froude number and turbulence intensity is required for any similarity between tests at different scales. In section gif we will show that the rate of seeing produced by a given mirror-air temperature difference is indeed a function of the Froude number.



next up previous contents
Next: The cold mirror Up: Physical description of Previous: Free convection



Lorenzo Zago, lorenzo.zago@heig-vd.ch, Mon Nov 6 23:33:14 GMT+0100 1995