📕 Mathematical modeling of bubbles dynamics is presented in turbulent flow to study the behaviour of vapour growth bubble between two phases (vapour-superheated liquids) flow. Theoretical study of the growth problem is solved analytically in terms of initial void fraction and initial bubble velocity. The growth problem in a viscous superheated liquid is investigated under the proposed pressure of Plesset and Zwick. The growth of bubble radius in a constant and variable dynamical viscosity is studied. The effect of constant and variable dynamical viscosity for two different cases of pressure is studied. The initial time of growth of vapour bubbles between two phase laminar-turbulent flow is introduced in thermal stage. This book is suitable and will be interesting for all researchers in related fields.