The Neumann boundary conditions are related to conditions on the very values of the gradient of the imposed variable. The imposed value is in this case a known constant.

We can express this concept in a mathematical manner for a variable T(x,y) as follows :



The gradient is here projected on the directon perpendicular to the surface :

According to the considered physical problem, the condition may be :




  • a condition on one imposed force :







  • a condition on one imposed flux :



Copyright Mecagora - Module 4 - 2003