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

Abstract

The aim of this study is to focus mainly on the behavior of gas bubble growth under the ‎effect of ‎a ‎magnetic field in N-dimensions of non-Newtonian hybrid ‎nanomaterials. Many types of ‎nanoparticles with ‎base nanofluids have been used to study the problems that arise in the ‎nanotechnology industrial ‎processes. Considering these problems in nanomaterials, the effects of ‎thermophysical parameters, such ‎as nanoparticle size and type, nanoparticle volume fraction, N-‎dimensions, thermal diffusivity, and ‎thermal conductivity are discussed. This investigation has ‎demonstrated that the magnetic field B and ‎electrical conductivity σE have a significant impact ‎on the dynamics of gas bubbles, showing that they ‎play an important role in decreasing the ‎growth processes. Furthermore, we examine the behavior of the ‎gas bubble radius in the cases of ‎pure water, mono nanoparticles, and hybrid nanofluid of nanomaterials ‎ (such as Cu-Al2O3/H2O, ‎and Cu-TiO2/H2O) in N-dimensions of non-Newtonian fluid. Moreover, the relationship between ‎shear stress and shear rate of non-Newtonian hybrid nanofluids is ‎studied. The results are ‎graphically represented to illustrate the behavior of solutions for the ‎presented model. It is noted ‎that the nanoparticles improve the thermophysical properties, which ‎enhances the efficiency of ‎the heat transfer rate of the nanofluids and decreases the behavior of ‎the gas bubble radius. ‎Based on the analysis of simulation procedures and system stability, we ‎‎observe that the ‎obtained ‎results provide more accurate solutions and a greater reduction in the ‎‎growth bubble process ‎compared to ‎previous ‎models. Finally, we apply the phase plane ‎approach to analyze the stability ‎of the corresponding nonlinear ‎system of the proposed model.

Local well-posedness and singularity formation in non-Newtonian compressible fluids

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Performance Enhancement of Photovoltaic-Thermal Modules Using a New Environmentally Friendly Paraffin Wax and Red Wine-rGO/H2O Nanofluid

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Global bifurcation in a diffusive Beddington-DeAngelis predator–prey model with population flux by attractive transition

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