This article proposes an analytical model to understand the rod-growth
of eutectic in the bulk undercooled melt. Based on the previous
derivations of the lamellar eutectic growth models, relaxing the
assumptions of small Peclet numbers, the model is derived by considering
melt kinetic and thermal undercoolings. The intent of this model is to
predict the transitions in eutectic pattern for conditions of the low
and high growth velocity. In addition to investigation of the transition
between lamellar and rod eutectic pattern, mathematical simplifications
of solving Bessel function are presented as well, which is the most
important priority to model calculation.