Natural Convection vertical heated flat plate

[Christy001]

1. I am using FEA modelling for a vertical heated flat plate and I need to compare theoretical results with the FEA s/w modelling results. I have completed the model in FEA s/w and I'm getting different values for temperatures and because I can't work out theoretical values then I do not know which run of the s/w is correct. The problem I am looking at is natural convection of a vertical flat plate. I have been give q=30W, ambient air temp of 22 degrees and also dimensions of the plate 106x106mm, hence surface area of 0.112m^2.

Homework Equations

I believe the relevant equation is q=ha(Ts-Ta) or q= mass flow rate *Cp(Ts-Ta)

The Attempt at a Solution

My attempt is to look at the equation above. I know that q is 30W and I know that a is the surface area and I also know that Ta is 22 degrees (temp of air). This seems to be an equation though with 3 unknowns - I know the ambient air temp is 22 degrees however the temp of the air a distance away from the heated plate will be changing as convection takes place.

 

[Chestermiller]

What is s/w?

 

[BvU]

soft ware

 

[Chestermiller]

1. I am using FEA modelling for a vertical heated flat plate and I need to compare theoretical results with the FEA s/w modelling results. I have completed the model in FEA s/w and I'm getting different values for temperatures and because I can't work out theoretical values then I do not know which run of the s/w is correct. The problem I am looking at is natural convection of a vertical flat plate. I have been give q=30W, ambient air temp of 22 degrees and also dimensions of the plate 106x106mm, hence surface area of 0.112m^2.

Homework Equations

I believe the relevant equation is q=ha(Ts-Ta) or q= mass flow rate *Cp(Ts-Ta)

The Attempt at a Solution

My attempt is to look at the equation above. I know that q is 30W and I know that a is the surface area and I also know that Ta is 22 degrees (temp of air). This seems to be an equation though with 3 unknowns - I know the ambient air temp is 22 degrees however the temp of the air a distance away from the heated plate will be changing as convection takes place.

You're analyzing steady state natural convection heat transfer from a vertical flat plate, and you don't get a match between the analytic and numerical temperature profiles, correct? Is the plate in an infinite ocean of air, or is it in an enclosed space? Is the analytic solution for constant heat flux or for constant temperature?