An infinitely long, solid cylinder $($D $=$ diameter$)$ has the ability for uni$-$ form internal energy generation given by the rate g$0($W$/$m$3)$ by passing a current through the cylinder. Initially $($t $=0),$ the cylinder is at a uni$-$ form temperature T$0.$ The internal energy generation is then turned on $($i$.$e$.,$ current passed$)$ and maintained at a constant rate g$0,$ and at the same moment the cylinder is exposed to convection heat transfer with coeffi$-$ cient h $($W$/$m$2$ K$)$ from a fluid at constant temperature T$\backslash$infty $,$ noting that T$\backslash$infty $>$ T$0.$ The cylinder has uniform and constant thermal conductivity k $($W$/$m K$).$ The Biot number hD$/$k a$1.$ Solve for time t at which point the surface heat flux is exactly zero. Present your answer in variable form.