This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Chapter 5 Numerical Methods in Heat Conduction 527 A plate is subjected to specified temperature on one side and convection on the other. The finite difference formulation of this problem is to be obtained, and the nodal temperatures under steady conditions as well as the rate of heat transfer through the wall are to be determined. Assumptions 1 Heat transfer through the wall is given to be steady and onedimensional. 2 Thermal conductivity is constant. 3 There is no heat generation. 4 Radiation heat transfer is negligible. Properties The thermal conductivity is given to be k = 2.3 W/m C. Analysis The nodal spacing is given to be x =0.1 m. Then the number of nodes M becomes 5 1 m 1 . m 4 . 1 = + = + = x L M The left surface temperature is given to be T =80 C. This problem involves 4 unknown nodal temperatures, and thus we need to have 4 equations to determine them uniquely. Nodes 1, 2, and 3 are interior nodes, and thus for them we can use the general finite difference relation expressed as...
View
Full
Document
This note was uploaded on 01/19/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.
 Fall '10
 Dr.DanielArenas
 Thermodynamics, Convection, Mass, Heat

Click to edit the document details