Interface for Transient heating of thick walled cylinder :

The transient heat transfer code  allows one to model multiple materials in a cylinder, each with temperature dependant properties. It assumes the barrel is axisymmetric, with no thermal gradient in the axial direction. The theory behind solving the model is included here

The left table is where cylinder radius, initial temperature of the cylinder, outside temperature and emissivity is entered along with time step and total time. The solver updates the transient thermal solution automatically with variation of any of these inputs

The right table is where the user enters time, temperature and heat transfer coefficient at the inner wall. The user can enter data on the table or change any input interactively with the slider bar on the bottom right. The solution is updated in the results section in real time.

Right Clicking the Cylinder boundary conditions allows the user to add, delete or fill column data as well as change the temperature loading from constant (step) to ramp.

The problem is solved by dividing the total time by the number of time steps and linearily interpolating the time steps values and associated temperatures and heat transfer coefficients in the boundary condition input.

You can solve the model with constant or temperature dependent material property inputs

Note that for the solver to work, time must increase in value in the first column.