Adaptive simulations to pressure distribution for creeping motion of Carreau nanofluid with variable fluid density effects: Physiological applications

Ibrahim, M. G.

doi:10.1016/j.tsep.2022.101337

Cited by 12 publications

(5 citation statements)

References 27 publications

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“…Figure 10 shows that the fluid pressure gradient is a decreasing function in high values of the Forschheimer number. Equations ( 14) and (15) show that The ascending values of unknown material parameters (α μ , ) and synovial parameter W e are studied versus the Shear rate profile of synovial fluid distribution via Figures 13-15. The solution is offered in the solution interval [−1,1].…”

Section: Discussion and Analyticsmentioning

confidence: 99%

“…The pressure gradient is obtained by Equation (15), and by eliminating from Equation (15), and ( 16) we have,…”

Section: Problem Modelingmentioning

confidence: 99%

“…Nanofluids are worked as drug delivery processes for joints to cure the negatively charged cartilage 8 . Nanofluids are defined/studied by many investigators, medicines, and mathematicians as they have applications in drug delivery, 9 refinements of extracted oils 10 cancer diagnosis, 11 and food industries processes, 12 and so forth 13–19 …”

Section: Introductionmentioning

confidence: 99%

“…8 Nanofluids are defined/studied by many investigators, medicines, and mathematicians as they have applications in drug delivery, 9 refinements of extracted oils 10 cancer diagnosis, 11 and food industries processes, 12 and so forth. [13][14][15][16][17][18][19] Nowadays, energy has a vital role in all recent applications of engineering, chemical, and physical processes, so, it has attracted the attention of modelers, researchers, and engineers. Generally, activation energy is the energy that is necessary to be provided to a chemical or nuclear system of latent reactants to cause a nuclear, and chemical reaction or countless other physical phenomena.…”

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confidence: 99%

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Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

et al. 2023

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Synovitis studies are the key to the treatment of most arthritis diseases in a human physique. So this study visualizes the effects of two dependent fluid viscosity models on magnet nano peristaltic transport of synovial fluid in nonuniform channel walls. Two fluid models are constructed, the first model considered that the Shear rate is dependent on fluid concentration (model-I), and the exponentially dependent viscosity on the fluid concentration is proposed as a second model (model-II). The fluid models are represented by a highly nonlinear system of partial differential equations. Joule heat, thermal radiation, and Arrhenius energy are studied as external effects. Those models are offered in a gradient mechanism, then simplified using droppings bars and using the fact of long wavelength, and low Reynolds. Pressure gradient and trapped bolus profiles and shear stress distribution as well as fluid temperature, velocity, and concentration performance are scrutinized. Analytical results are obtained in appropriate/chosen boundary conditions depending on the walls of the channel. Attracted/signified results are compared with the nearest trusted results by Khan et al. Solution intervals are sub-divided and analytically treated at each of them by multi-stage differential

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Section: Discussion and Analyticsmentioning

confidence: 99%

“…The pressure gradient is obtained by Equation (15), and by eliminating from Equation (15), and ( 16) we have,…”

Section: Problem Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

et al. 2023

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“…They state that the axial velocity is conversely proportional to the non-uniformity parameter. Ibrahim 5 deliberated the first idea of changing the fluid density in the MHD peristaltic flow of Carreau fluid. It’s found that the temperature-dependent fluid and concentration-dependent fluid parameters improve the fluid temperature and give a fluid particle more active energy.…”

Section: Introductionmentioning

confidence: 99%

Computational simulation for MHD peristaltic transport of Jeffrey fluid with density-dependent parameters

Ibrahim

Abou-zeid

2023

Sci Rep

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This study aimed to give a new theoretical recommendation for non-dimensional parameters depending on the fluid temperature and concentration. This suggestion came from the fact of fluid density may change with the fluid temperature ($$\theta $$ θ ) and concentration ($$\varphi $$ φ ). So, a newly released mathematical form of Jeffrey fluid with peristalsis through the inclined channel is constructed. The problem model defines a mathematical fluid model which converts using non-dimensional values. A sequentially used technique called the Adaptive shooting method for finding the problem solutions. Axial velocity behavior has become a novel concern to Reynolds number. In contradiction to different values of parameters, the temperature and concentration profiles are designated/sketched. The results show that the high value of the Reynolds number acts as a fluid temperature damper, while it boosts the concentration of the fluid particle. The non-constant fluid density recommendation makes the Darcy number controls with a fluid velocity which is virtually significant in drug carries applications or blood circulation systems. To verify the obtained results, a numerical comparison for obtained results has been made with a trustful algorithm with aid of AST using wolfram Mathematica version 13.1.1.

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Significance of MHD Micropolar Tri-hybrid Nanofluid Flow past a Stretched Surface with Modified Fourier and Fick’s Law

Ahmad,

Khan,

Khan

et al. 2024

BioNanoSci.

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Adaptive simulations to pressure distribution for creeping motion of Carreau nanofluid with variable fluid density effects: Physiological applications

Cited by 12 publications

References 27 publications

Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

Computational simulation for MHD peristaltic transport of Jeffrey fluid with density-dependent parameters

Significance of MHD Micropolar Tri-hybrid Nanofluid Flow past a Stretched Surface with Modified Fourier and Fick’s Law

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