Thermophysical bubble dynamics in N-dimensional Al2O3/H2O nanofluid between two-phase turbulent flow

The purpose of this work is to apply a new method for the growth behavior of bubble dynamics in N-dimensional turbulent Al2O3/H2O-nanofluid for bubble dynamics applications in polymers and climate change models under the influence of surface tension and viscosity. This paper also investigates the factors affecting the dynamics of vapor bubble growth in N-dimensions for turbulent nanofluid. The turbulent flow of the nanofluid in N-dimensions in this study is examined at Re ranging from 3000 to 5000, and concentration from 4 to 6%. The theoretical analysis is conducted using the MPZ technique considering the initial time of bubble growth. The obtained results reveals that the radius of the bubble is proportional to the thermal diffusivity and inversely proportional to the surface tension, viscosity, critical bubble radius, concentration rate of Al2O3-nanoparticles, and initial void fraction. We also found that the growth of the vapor bubble in a nanofluid turbulent flow is less than that of the Newtonian fluid. To the best of our knowledge, the efficient utilization of N-dimensional turbulent Al2O3 nanoparticles in bubble dynamics leads to more reduction for bubble growth process than other previous models. Additionally, the stability analysis is examined via phase plane algorithm with nonlinear ODEs.