1. The problem statement, all variables and given/known data So I have a problem where I have a series and two other parallel insulators bringing a system from a temperature of Tzero to Ttwo. However, the two aforementioned temperatures have a huge difference thus causing kappa to vary with temperature. I am trying to know how to solve for Q/t of the whole system accounting for the varying kappa with temperature (assume the kappa function is linear with temperature change (y=mx+b form)). So I have a cylinder that is in series (2*pi*r*L) and top and bottom that are parallel but not series (disks with thickness). 2. Relevant equations Q/t=kAdT/dx 3. The attempt at a solution I serperated and integrated. I set Q/t=Q/t for the series from where they change. The difficulty I have is coming up with the general form (T-t)/R and using that to do stuff.