Page 168 - Mechanical Engineers' Handbook (Volume 4)
P. 168
1 Conduction Heat Transfer 157
Table 10 Summary of Nodal Finite-Difference Equations
Configuration Finite-Difference Equation for x y
Case 1. Interior node T m,n 1 T m,n 1 T m 1,n 4T m,n 0
Case 2. Node at an internal corner with 2(T m 1,n T m,n 1 ) (T m 1,n T m,n 1 )
convection
h x T 23 h x
2 T m,n 0
k k
Case 3. Node at a plane surface with 2h x
)
convection (2T m 1,n T m,n 1 T m,n 1 k T
2 h x
k 2 T m,n 0
Case 4. Node at an external corner with ) 2 h x
convection (T m,n 1 T m 1,n k T
2 h x
k 1 T m,n 0
