Simple heat conduction problem setup

  • Thread starter mahdert
  • Start date
  • #1
15
0

Homework Statement



a thermometer wall mounted through the wall of a steam pipe is a steel tube with 0.1 in wall thickness, 0.5 in outer diameter, 2 in length and k=26W/(mK). The flow produces an h value of 100W/(m^2K) on the outside surface of the well. If the thermometer reads 149 deg C, and the temp. of the pipe is 65 deg C, estimate the average steam temp.


Homework Equations



Fouriers law of cunduction: q = -k A [tex]\frac{\partial T}{\partial x}[/tex]
Newtons law of cooling: q = hA(T[tex]_{\infty}[/tex] - T)

The Attempt at a Solution


Just need help with the problem setup:
A heat balance between the heat convected into the well from the steam is equal to the heat conducted through the thermometer well to the outside surface of the pipe. Heat conduction occurs axially through the pipe, in other words, there is no temperature difference inside the pipe in the radial direction. (is this a correct assumption).

The convection occurs throught the outside surface of the well and the bottom surface that is exposed. (is this a correct assumption).
 
Last edited:

Answers and Replies

Related Threads on Simple heat conduction problem setup

Replies
0
Views
1K
Replies
12
Views
11K
Replies
1
Views
8K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
0
Views
5K
Replies
12
Views
1K
  • Last Post
Replies
3
Views
663
  • Last Post
Replies
9
Views
9K
  • Last Post
Replies
1
Views
935
  • Last Post
Replies
21
Views
3K
Top