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

Morad, Adel M.; Selima, Ehab S.; Abu‐Nab, Ahmed K.

doi:10.1016/j.csite.2021.101527

Cited by 27 publications

(18 citation statements)

References 42 publications

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“…Furthermore, one may also explore how turbulence emerges in the class of non-Newtonian fluids considered here. Many studies of turbulence in non-Newtonian fluids exist in the literature, for instance, [74]. Differently than the standard case studied within the Navier-Stokes equations, where the transition from the viscous to the Eulerian limit corresponds to going from parabolic to hyperbolic equations, here both the ideal and viscous regimes are described by a hyperbolic set of equations of motion.…”

Section: Discussionmentioning

confidence: 99%

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

Lerman,

Disconzi,

Noronha

2023

J. Phys. A: Math. Theor.

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We investigate the initial value problem of a very general class of3+1non-Newtonian compressible fluids in which the viscous stress tensor with shear and bulk viscosity relaxes to its Navier–Stokes values. These fluids correspond to the non-relativistic limit of well-known Israel–Stewart-like theories used in the relativistic fluid dynamic simulations of high-energy nuclear and astrophysical systems. After establishing the local well-posedness of the Cauchy problem, we show for the first time in the literature that there exists a large class of initial data for which the corresponding evolution breaks down in finite time due to the formation of singularities. This implies that a large class of non-Newtonian fluids do not have finite solutions defined at all times.

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Section: Discussionmentioning

confidence: 99%

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

Lerman,

Disconzi,

Noronha

2023

J. Phys. A: Math. Theor.

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“…Nanofluids may collect and transmit heat via bubble formation due to their physical features. In particular, the effects of ionizing radiation and thermophysical features on nanofluids and their potential use as cooling fluids in nanofluid technology explosions [38][39][40][41]. A few years ago, the researchers suggested using a dual type of nanoparticles within the base fluid to maximize the benefits of the thermal properties of the fluid.…”

Section: Introductionmentioning

confidence: 99%

Thermal evaluation of MHD boundary‐layer flow of hybridity nanofluid via a 3D sinusoidal cylinder

Elsaid,

Abdel‐Wahed

2023

Z Angew Math Mech

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The study of the boundary layer is considered one of the most important theories in the field of heat and mass transfer because of its important explanation that shows us the behavior of different surfaces while they are under the influence of the flow accompanied by different thermal forces. The study of corrugated surfaces is one of the engineering applications, such as flow in heat exchangers or solar cells or cooling processes during surface heat treatments. This model is also used in medical applications such as flow in arteries or movement in the intestines. So, the work deals with investigating the boundary layer surrounding a three‐dimensional sinusoidal pipe; the boundary layer was assumed to be filled with a hybrid nanofluid consisting of water +Cu nanoparticles as the main fluid, supported by a small concentration of Al2O3 or Ag nanoparticles. The boundary layer is described by a set of nonlinear partial differential equations due to the continuity, momentum, and energy equations, which are transformed into a set of dependently coupled nonlinear ordinary differential equations. The obtained system of equations was solved using numerical techniques. The behavior of the boundary layer under the varying types and concentrations of nanoparticles and the influence of the magnetic field has been depicted by a set of graphs and tables. With reference to some results, it is found that using 5% of nanoparticles of aluminum oxide raises the rate of cooling by 8% and using 5% of silver nanoparticles increases it by 5%.

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“…These subjects have acquired a great deal of interest in the area of innovative industrial applications, such as solving coating issues and manufacturing nanotechnology processes, such the exotic chemical manufacturing [3], polymers [4], minerals [5], medical [6], environmental energy [7], and biological research [8,9]. Bubbly flows are frequently encountered in both metallurgical and applications of chemical engineering, as bubbles are generated or injected into the reactors to create global bubbles [10][11][12]. At low shear rates, nanofluids behave like Newtonian fluids, but at high shear rates, they behave like non-Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

“…In the last few years, there has been a surge in interest in developing and applying analytical and numerical approaches to processing mathematical models in nanotechnology [10][11][12][13][14][15][16]. Such strategies can help overcome the nonlinear complexity observed in non-Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

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

2022

Self Cite

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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.

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

Cited by 27 publications

References 42 publications

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

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

Thermal evaluation of MHD boundary‐layer flow of hybridity nanofluid via a 3D sinusoidal cylinder

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

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