Theoretical Analysis of Pressure Relaxation Time in N-Dimensional Thermally-Limited Bubble Dynamics in Fe3O4/Water Nanofluids

Abstract

The present manuscript is devoted to study the theoretical analysis of pressure relaxation time (PRT) of N-dimensional spherical bubble dynamics immersed in Fe3O4/H2O nanofluid. The mathematical model consists of mass equation in N-dimensions nanofluids, thermal and physical properties of Fe3O4/H2O-nanoparticles (NPs), and PRT in N-dimensions nanofluids. The proposed model of PRT is studied theoretically and solved analytically by using the modified Plesset and Zwick (MPZ) technique taking into account, through the relaxed model with unequal pressure of the thermally-limited bubble dynamics and non-steady pressure field concerning the collapsing and growing of bubble dynamics. Additionally, the PRT is estimated in an N-dimensional vapour bubble under influence of the thermophysical properties of particles nanofluids. Furthermore, The current research also looks at the elements that influence the dynamics of vapour bubble growth in N-dimensions nanofluids. Our results show that the appearance of volume concentration NPs and NPs diameter can significantly decrease the PRT but N-dimensions increases the PRT on thermally-limit bubble dynamics in nanofluids. Additionally, the good agreement are illustrated, for bubble growth in the N-dimensional of Fe3O4/H2O nanofluid with the current model and previous works using theoretical data appropriate for values of N-dimensions “N” at N = 3, 5, 7.