Transient Neumann Values
Compute the cooling effect of a duct with a cooling liquid in an axisymmetric cross section of a pipe.
Specify a solution domain.
Specify a Neumann value that depends on time and stationary Dirichlet conditions.
Solve a steady-state problem corresponding to the boundary conditions at to find an initial condition. The "Continuation" mesh generator is used to better resolve the corners and edges of the domain .
Solve a heat equation with a temperature set on the outer boundaries and a time-dependent flux over the inner boundary, using the steady-state solution as an initial condition. To ensure the best initialization, the same spatial mesh is used as for the steady-state solution.
Plot the solution.