Effect of Heat Transfer on the Growing Bubble with the Nanoparticles/Water Nanofluids in Turbulent Flow

Abstract

This paper is devoted to study the effect of heat transfer on the temperature distribution in a superheated liquid during the growth of vapour bubbles immersed in different types of nanoparticles/water nanofluids between two-phase turbulent flow. The mathematical model is formulated and solved analytically depending on Scriven's theory and using the modification of the method of the similarity parameters between two finite boundaries. The characteristics of vapour bubble growth and temperature distribution are obtained by using the thermo-physical properties of nanoparticles nanofluids. The results indicate that the nanoparticle volume concentration reduces the bubble growth process under the effect of heat transfer. The better agreements are achieved, for bubble dynamics in turbulent nanofluid using the appropriate numerical and theoretical data for the values of concentration rate of nanoparticles χ=0,0.2,0.4. The temperature distribution surrounding the regime of bubble growth in pure water is more intensive than in other cases of Al2O3/H2O, Fe3O4/H2O and CuO/H2O nanofluids in turbulent flow. A Comparison of the current solution with previous works is carried out and discussed.

Impact of magnetic-field on the dynamic of gas bubbles in N-dimensions of non-Newtonian hybrid nanofluid: analytical study

“…It is clear that the growth process of gas bubble dynamics in N-dimension of non-Newtonian hybrid nanofluid takes the lower values and that the damping of the behavior of gas bubbles is faster in the hybrid nanofluid than in the cases of pure water and mono nanoparticles. These results give good significance and are in agreement with previous theoretical and experimental studies presented by Morad et al [10], Abu-Nab et al models [21,42], Dergarabedian [48], and Hashemi et al model [50]. Additionally, we present an investigational analysis of the effect of N-dimensions on the dynamics of a growing gas bubble in non-Newtonian hybrid nanofluid under the influence of the magnetic field as presented in figure 3.…”

“…The convective term of the material derivative of particle velocity is zero when discussing the pulsation of a single bubble whose center rests fixed in space [39]. Moreover, the magnetic field is considered a constant [40][41][42]. When these considerations are applied in case of the gas bubble in a liquid, the equations for energy conservation within the liquid can be linked to the equations for dissolved gas diffusion and mass conservation [38,43] in the liquid as…”

Microcavitation dynamics in viscoelastic tissue during histotripsy process

“…B represents the solution of concentration equation (which can be found, for example in [45][46][47]) in the form…”