Modify the 1d unsteady state governing equation for energy by expanding the nonlinear heat generation in Taylor Series by one term. Given = |=0ial thermal conductivity , heat capacity and a mass density . The cell experiences a temperature-dependent internal generation rate () throughout its volume and is being cooled at the outside surface with a conductive heat transfer due to coolant flow. a) Write the 1D unsteady state energy equation in cylindrical coordinate. Write the boundary conditions considering symmetrical temperature distribution inside the cell and convective flux balance at the surface of the cell. Write the initial condition considering the initial temperature throughout the cell is 0