Prabhakar fractional derivative and its applications in the transport phenomena containing nanoparticles

In this study, an incompressible, steady, and magnetohydrodynamic flow of Buongiorno nanofluid through a stretchable surface has been analyzed by adopting a theoretical and numerical approach. This paper involves the impacts of buoyancy forces, thermal conductivity, chemically diffusion, and Arrhenius activation energy. Moreover, the influence of the suspension of gyrotactic microorganisms in the nanofluids is also a part of this study. It is assumed that the behavior of viscosity varies as a function of time and the suspension of microorganisms remain consistent throughout the study. A system of PDEs is reduced to a solvable system of ODEs by applying a suitable similarity transformation. For the sake of numerical solutions, the shooting method has been employed. Wolfram Mathematica has been used to deal with the BVP. In addition, the behaviors of different emerging parameters comprising velocity outline, temperature outline, concentration distribution, the density outline of gyrotactic microorganisms have also been demonstrated by graphical illustrations. From the extracted results, it has been observed that the rising values of viscosity of fluid produce a decline in the velocity parameter. Also, an increment has been noticed in the temperature profile for the growing behavior of the mixed convective factor.

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“…The shooting methodology may be employed in future for diverse physical and manufacturing challenges. [53][54][55][56][57][58][59][60][61][62]…”

Section: Discussionmentioning

confidence: 99%

Buoyancy force and Arrhenius energy impacts on Buongiorno electromagnetic nanofluid flow containing gyrotactic microorganism

Safdar

Gulzar

Jawad

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Numerous experts have as of late investigated the choices of bloodstream all through the vein inside the presence of injury (for more instances see [28][29][30][31][32][33][34][35][36], and in addition, the studies of Srivastava [37], Pratumwal et al [38], Ott [39], Agency et al [40], and McMillan et al [41]). Recent additions considering fluids flow with heat and mass transfer in various physical situations are given by [42][43][44][45][46][47][48][49][50][51][52][53].…”

Section: Plos Onementioning

confidence: 99%

A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field

et al. 2022

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Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.

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“…In the last few years, the use of mathematical modeling 22 – 24 and CFD modeling 3 , 25 in explaining the behavior of various physical phenomena has increased significantly. CFD modeling was the primary method in the evaluation of the flow behavior through the 3Ss.…”

Section: Introductionmentioning

confidence: 99%

Investigation of novel passive methods of generation of swirl flow in supersonic separators by the computational fluid dynamics modeling

Shoghl

Naderifar

Farhadi

et al. 2022

Sci Rep

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In this paper, three passive methods for the generation of swirl flow in the supersonic separator (3S) were investigated, and their structures were optimized by computational fluid dynamics (CFD) modeling. The influence of the structural and operational parameters on the dew point depression, phase envelope diagram, rate of natural gas liquid (NGL) recovery, and separation efficiency have also been evaluated. The collection efficiency was significantly improved for the nozzle equipped with the passive swirler compared with the simple nozzle. The selection of passive swirler type played a crucial role in the natural gas liquefaction and separation. The side injected swirler, and serpentine swirler showed the most significant improvement in separation efficiency than the U-turn swirler. For the side injected swirler at the optimum injection angle, the maximum collection efficiency was about 89% at the pressure loss ratio (PLR) of 0.2. Besides, the simulation results demonstrated that for the serpentine 3S, with the increase in serpentine twist number, the highest improvement on the collection efficiency of the investigated nozzle was obtained. In addition, it was observed that, when the convergent section profile was designed according to the Witoszynski line-type, a larger refrigeration zone was obtained than other considered profiles.

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Prabhakar fractional derivative and its applications in the transport phenomena containing nanoparticles

Cited by 37 publications

References 12 publications

Buoyancy force and Arrhenius energy impacts on Buongiorno electromagnetic nanofluid flow containing gyrotactic microorganism

Buoyancy force and Arrhenius energy impacts on Buongiorno electromagnetic nanofluid flow containing gyrotactic microorganism

A mathematical model of blood flow in a stenosed artery with post-stenotic dilatation and a forced field

Investigation of novel passive methods of generation of swirl flow in supersonic separators by the computational fluid dynamics modeling

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