Bringing all of the above together, the complete UV curing process model that considers heat transfer, the attenuation of light intensity, cure kinetics as well as the state boundary conditions is summarized in the following form:
Display Formula

(8)${\rho cp\u2202T(z,\u2003t)\u2202t=\u2202\u2202z(kz\u2202T(z,\u2003t)\u2202z)+vr\rho r\Delta Hrd\alpha (z,\u2003t)dt-kz\u2202T(0,\u2003t)\u2202z+\u03d1I0=h(T(0,\u2003t)-T\u221e)\u2202T(l,\u2003t)\u2202z=0\u2202\alpha (z,\u2003t)\u2202t=\varphi SqI0pexp(-\lambda cz)exp(-ERTabs(z,\u2003t))\alpha m(z,\u2003t)(1-\alpha (z,\u2003t))nT(z,0)=T0(z)\alpha (z,0)=\alpha 0(z)$