Theoretical investigation of a single vapor bubble during Al₂O₃/H₂O nanofluids in power-law fluid affected by a variable surface tension

Abstract

This article analyzes the growth of the vapor bubble in a novel model of power-law nanofluids (Al2O3/H2O) under a new effect of variable surface tension. The governing equations of the rising vapor bubble flow model are formulated and converted to a single equation describing the bubble dynamics behavior. By employing the model of Plesset and Zwick method, we investigate a new model of equations within power-law nanofluids to examine the effect of different physical parameters such as initial superheating liquid, critical bubble radius, and thermal diffusivity on the vapor bubble formation. Furthermore, the effects of surface tension behavior with the initial bubble radius, time, and initial rate of bubble radius are examined. It is found that the growth of the vapor bubble radius increases with the increase of initial superheating liquid, critical bubble radius, and thermal diffusivity. In addition, the connection between shear stress and shear rate is analyzed in detail. Using appropriate values for the physical parameters, the behavior of solutions of the vapor bubble is discussed. Based on the conducted simulation analysis, the behavior of the solutions is found to be more accurate than those in the previous studies. Besides, the obtained results demonstrate that the vapor bubble in power-law nanofluids grows slower than in pure water.

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

“…The comparison between the present model in nanofluids and other published models [22,24] in the cases turbulent flow are shown in Figure 7. Moreover, Figure 8 shows also the comparison between current model and previous studies [11,20,21,31] in laminar flow and pure water. Our results agree with the results of the model [20] in the case nanoparticle/water nanofluids.…”

“…Moreover, Figure 8 shows also the comparison between current model and previous studies [11,20,21,31] in laminar flow and pure water. Our results agree with the results of the model [20] in the case nanoparticle/water nanofluids. In final, we conclude the behavior of bubble growth in nanoparticles/water nanofluids is lower than in the case of pure water in turbulent flow under the influence of heat transfer.…”

“…[18,19]. Recently, Abu-Nab et al [20] investigated the vapour bubble dynamic in power-law Al2O3/H2 nanofluid, affecting by variable surface tension depending on the method of Plesset and Zwick [21] and Mohammadein et al [19]. Furthermore, the effects of surface tension behavior with the initial bubble radius, time, and initial rate of bubble radius are investigated within Al2O3/H2 nanofluid.…”

Fractal Analysis of a Non-Newtonian Fluid Flow in a Rough-Walled Pipe

“…Other models exist that better describe the overall flow behavior of shear-dependent fluids, but they come at the sacrifice of simplicity. Therefore, the power–law is still useful to describe fluid behavior, enable mathematical predictions, and correlate experimental results [ 40 , 41 , 42 ]. For simplification, we assume the pipe to be axially symmetric.…”

Time-Dependent Stagnation Point Flow of Water Conveying Titanium Dioxide Nanoparticle Aggregation on Rotating Sphere Object Experiencing Thermophoresis Particle Deposition Effects

“…The majority of nanofluid articles focus on understanding their behavior so that they may be used in situations where direct heat transfer improvement is critical, such as in many industrial applications, nuclear reactors, transportation, electronics, medicine, and food. Recently, in the context of a Casson nanofluid, Abu et al [2] conducted a theoretical examination of a single vapor bubble in power-law fluid impacted by varying surface tension over Al 2 O 3 /H 2 O nanofluids. Prasannakumara [3] used NaAlg-Cu nanofluid to conduct a quantitative investigation of the local thermal non-equilibrium conditions for a nano liquid (NaAlg-Cu) passing over a porous medium.…”