ABSTRACT
Consider a 1D simple element, as is the facial element “1.” Consider also the value of the generalized coefficient of conductivity Γ = 1.2 [tq/sm°], the element length L0 = 0.2 m, and the area of the cross-section A0 = 10 ⋅ 10−3 m2. Then the matrix of conductivity for both cross sections will take the following form in accordance with Equation 5.69:
[ ] .( )K A1 0 36
1 1 1 1
60 10 1 1 1 1
= -
- é
ë ê
ù
û ú = ×
- -
é
ë ê
ù
û ú
As for the example discussed herein, matrix [F(1)] consists of two terms only-see Equation 5.70 (according to the problem formulation, there is no convective flux on A3 and hence ψA,3 = 0).
