Calculating Grashof's Number for Natural Convection

AI Thread Summary
Grashof's number is essential for analyzing natural convection around a heated plate, with the film temperature calculated as Tf = 0.5(Tp + Ta). The formula for Grashof's number is Gr = (βgL^3ΔT)/ν², where ΔT represents the temperature difference between the heated plate and the surrounding air. The discussion raises questions about the appropriate values for ΔT and the thermal expansion coefficient β. A referenced book may provide additional insights, but the user expresses uncertainty about their calculations. Accurate determination of these parameters is crucial for correct Grashof number evaluation in natural convection scenarios.
lazypast
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HI

when dealing with natural convection, we use grashof's number. suppose we have a heated plate of temperature Tp. and heat being transferred to surrounding air by convection, air of temp Ta.

So film temp is Tf = 0.5(Tp + Ta)

If grashofs numbers, Gr = \frac { \beta gL^3 \delta T}{\nu^2}

im wondering what \delta T and what \beta we use.

thanks
 
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