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The table below shows the list of the popular dimensionless numbers related to heat transfer.

Nusselt Number

\displaystyle {\rm Nu} =\frac{U \cdot L}{\lambda }

characterizes heat exchange rate with fluid convection
Biot Number

\displaystyle {\rm Bi} =\frac{U \cdot L}{\lambda }

characterizes heat exchange rate with solid bodies
Prandtl number

\displaystyle {\rm Pr} = \frac{\nu}{a}

characterizes fluid in terms of its ability to develop heat convection against heat conduction  
Grashof number

\displaystyle {\rm Gr} = \frac{g \, \beta \, \Delta T \, L^3}{\nu^2}

characterizes the natural heat convection due to gravity
Rayleigh number

\displaystyle {\rm Ra} = {\rm Gr} \cdot {\rm Pr}

characterizes the natural heat convection due to gravity
Fourier number

\displaystyle {\rm Fo} = \frac{a \cdot t}{L^2}

dimensionless time


See also


Physics / Thermodynamics / Heat Transfer

Nusselt Number (Nu) ][ Prandtl number (Pr) ] [ Fourier number (Fo) ]



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