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The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.[1] The Prandtl number is given as:
Note that whereas the Reynolds number and Grashof number are subscripted with a scale variable, the Prandtl number contains no such length scale and is dependent only on the fluid and the fluid state. The Prandtl number is often found in property tables alongside other properties such as viscosity and thermal conductivity.
The mass transfer analog of the Prandtl number is the Schmidt number and the ratio of the Prandtl number and the Schmidt number is the Lewis number.
^Coulson, J. M.; Richardson, J. F. (1999). Chemical Engineering Volume 1 (6th ed.). Elsevier. ISBN 978-0-7506-4444-0.
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Schmidt number is the Prandtlnumber (Pr). The ratio of thermal diffusivity to mass diffusivity is the Lewis number (Le). The turbulent Schmidt number is commonly...
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Rayleigh number with respect to this length and Pr is the Prandtlnumber (the Rayleigh number can be written as the product of the Grashof number and the...
where Nu is the Nusselt number; Re is the Reynolds number; Pr is the Prandtlnumber. The Stanton number arises in the consideration of the geometric similarity...
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Nusselt number. This is only true when the magnitude of Prandtlnumber is small or prescribed wall heat flux (WHF) is considered. Sherwood number, Bejan...
number to be the inverse of the above definition. The Lewis number can also be expressed in terms of the Prandtlnumber (Pr) and the Schmidt number (Sc):...
several dimensionless numbers are used such as Nusselt number, Reynolds number, and Prandtlnumber. The commonly used equation is N u a = h a D k {\displaystyle...
refrigeration due to the resulting high heat capacity ratio and low Prandtlnumber. The inertness of helium has environmental advantages over conventional...
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fluid temperature; Tw is the wall temperature; Pr is the Prandtlnumber Ec is the Eckert number It is the ratio between heat produced by viscous dissipation...
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constants σ, ρ, and β are system parameters proportional to the Prandtlnumber, Rayleigh number, and certain physical dimensions of the layer itself. The Lorenz...