This bifurcation has also been found in the context of fluid dynamics, namely in double-diffusive convection of a small Prandtl number fluid.
22.
Liquid metals have small magnetic Prandtl numbers, for example, liquid sodium's P _ M is around 10 ^ {-5 }.
23.
When the flow is turbulent different correlations involving the Rayleigh Number ( a function of both the Grashof Number and the Prandtl Number ) must be used.
24.
Helium, mixed with a heavier gas such as xenon, is useful for thermoacoustic refrigeration due to the resulting high heat capacity ratio and low Prandtl number.
25.
Using the mass-heat transfer analogy, the Nusselt number is replaced by the Sherwood number, and the Prandtl number is replaced by the Schmidt number.
26.
If the Prandtl number is less than 1, which is the case for air at standard conditions, the thermal boundary layer is thicker than the velocity boundary layer.
27.
When used in connection with mass transfer the Prandtl number is replaced by the Schmidt number, Sc, which expresses the ratio of the momentum diffusivity to the mass diffusivity.
28.
While Dittus-Boelter requires the Prandtl number to be between 0.7 and 160, Seider-Tate applies to values between 0.7 and 16, 700.
29.
Experimental data for gas streams agree approximately with above equation if the Prandtl numbers are near 1.0 and only skin friction is present in flow past a flat plate or inside a pipe.
30.
Because the Prandtl number of a particular fluid is not often unity, German engineer E . Polhausen who worked with Ludwig Prandtl attempted to empirically extend these equations to apply for Pr \ ne 1.
