Natural Convection vertical heated flat plate

  • #1
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.
 

Answers and Replies

  • #3
BvU
Science Advisor
Homework Helper
14,131
3,547
soft ware
 
  • #4
20,875
4,548
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?
 

Related Threads on Natural Convection vertical heated flat plate

Replies
0
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
14
Views
2K
Replies
5
Views
3K
Replies
12
Views
11K
Replies
1
Views
969
Replies
1
Views
1K
Replies
1
Views
1K
Top