We analyse simultaneous velocity and temperature measurements in turbulent thermal convection. Our results show the existence of a cross-scaling between the normalized velocity and temperature structure functions, as implied by the Bolgiano-Obukhov scaling, at the centre of the convection cell. We find that the cross-scaling exponents are, however, different from the values implied by the Bolgiano-Obukhov scaling.
It has been conjectured13 that the extended self-similarity measured in turbulent flows is an indication of the maximum velocity difference being scale-independent and thus the most intense velocity structures being shock-like. In this paper, we present analyses of velocity measurements in turbulent Rayleigh–Bénard convection that show further support to this conjecture.
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