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

Dhange, Mallinath; Sankad, G. C.; Safdar, Rabia; Jamshed, Wasim; Eid, Mohamed R.; Bhujakkanavar, Umesh; Gouadria, Soumaya; Chouikh, R.

doi:10.1371/journal.pone.0266727

Cited by 25 publications

(6 citation statements)

References 48 publications

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“…Future applications of the Galerkin finite element algorithm (G-FEA) could include a range of physical and technological difficulties 11,[50][51][52][53][54][55][56][57][58][59] . According to [60][61][62][63][64][65][66][67][68][69][70] , there have been several recent advancements that explore the importance of the research domain under consideration.…”

Section: Core Points and Conclusionmentioning

confidence: 99%

Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

Hafeez

Krawczuk

Jamshed

et al. 2022

Sci Rep

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In the current study, a vertical, 3D-heated plate is used to replicate the generation of heat energy and concentration into Prandtl liquid. We discuss how Dufour and Soret theories relate to the equations for concentration and energy. In order to see how effectively particles, interact with heat and a solvent, hybrid nanoparticles are used. It does away with the phenomena of viscous dissipation and changing magnetic fields. The motivation behind the developed study is to optimize solvent and heat storage uses in the biological and industrial domains. This article's major goal is to explore the aspects of thermal energy and mass transfer that influence how nanoparticles, hybrid nanoparticles, and 3D melting surface sheets behave. Variable thermal efficiency and variable mass transfer are combined. The system of generated PDEs (difference equations) includes the concentration, velocity, and heat energy equations. The numerical calculations are done for Silver (Ag), Molybdenum Disulfide (MoS2) nanoparticles with Ethylene glycol (C2H6O2) as the base fluid using a boundary layer approach to the mathematical formulation. The system of ODEs is formulated through transformations in order to find a solution. A Galerkin finite element algorithm (G-FEA) is adopted to analyze various aspects versus different parameters. It has been found that motion into hybrid nanoparticles is reduced by motion into nanoparticles. Additionally, differences in heat energy and solvent particle sizes are associated with modifications in magnetic, Dufour, Eckert, and Soret numbers. In contrast to hybrid nanostructures, the output of thermal energy is usually observed to be substantially higher. The magnetic field parameter decreases the particle velocity. In contradiction to the Eckert number, bouncy parameter, and magnetic parameter set values, the maximum quantity of heat energy is obtained. variable thermal conductivity's function. The 3D heated vertical surface convective heat transfer of nanofluids and hybrid nanofluids under the impact of a heat source, thermal radiation, and viscous dissipation has not yet been studied, as far as the authors are aware.

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Section: Core Points and Conclusionmentioning

confidence: 99%

Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

Hafeez

Krawczuk

Jamshed

et al. 2022

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…Future applications of the G-FEM include a range of physical and technological difficulties [66][67][68][69][70][71][72][73][74][75][76][77]. According to [78][79][80][81][82][83][84][85][86][87], there have been several recent advancements with respect to the importance of the research domain under consideration. The velocity profile can be increased by adjusting the Deborah number (β 2 , β 3 ) and injection parameters, although porous media, volume fraction nanoparticles, velocity slide, and force parameters reduce the speed of the movement.…”

Section: Final Outcomesmentioning

confidence: 99%

Section: Final Outcomesmentioning

confidence: 99%

Galerkin Finite Element Process for Entropy Production and Thermal Evaluation of Third-Grade Fluid Flow: A Thermal Case Study

et al. 2022

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A fluid’s moving class improves its heat transmission capability, as well as its rigidity, owing to multivariate molecule suspension. In this way, nanofluids are superior to common fluids. In this study, we evaluated the features of ease and heat transfer. Furthermore, we investigated permeable media, heat source, variable heat conductivity, and warm irradiation results. A mathematical technique known as the Galerkin finite element (G-FEM) approach was used to solve the supervising conditions. Third-grade nanofluid (TGNF), which consists of two types of nanoparticles (NPs), single-walled carbon nanotubes (SWCNT), and multi-walled carbon nanotubes (MWCNTs) distributed in a base liquid of carboxymethyl cellulose (CMC) water, was used for this examination. The main conclusion of this study is that MWCNT-CMC nanofluid has a higher heat transfer velocity than SWCNT-CMC nanofluid. The entropy of the framework can be increased by adjusting the thermal conductivity. Additionally, we found that increasing the main volume section decreases the speed but increases the dispersion of atomic energy. In order to separately account for the development properties of inertial forces and shallow heat dispersion forces, Reynolds and Brinkman values can be used to accelerate the entropy rate of the heating framework.

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“…For example, a study by Srivastava [48] has shown that a magnetic field can help to reduce the severity of stenosis and improve blood flow. Dhange et al [49] found that MHD may also help to prevent the formation of plaque buildup in arteries. Mohanty et al [50] investigated the impact of heat radiation on the flow of MHD nanofluid over surfaces undergoing both stretching and shrinking.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

Omama,

Arafa,

Elsaid

et al. 2024

Z Angew Math Mech

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This study introduces a mathematical model that describes the Magnetohydrodynamics (MHD) flow of blood in a porous stenosis artery, incorporating a new hybrid nanofluid (HNF) model known as ‘Quadruple’ or the tetra‐(HNF) model. An innovative aspect of this study lies in the unexplored combination of tetra‐hybrid nanoparticles with the Sisko rheological model. The conventional Tiwari and Das (HNF) model has been expanded to accommodate the tetra‐(HNFs) case. To transform the governing partial differential equations into ordinary differential equations, a series of variable similarity transformations are employed. The resulting highly nonlinear simultaneous equations are efficiently solved using the shooting method. Numerical computations are conducted to investigate various parametric conditions, and graphs are utilized to visualize notable aspects of flow velocity and temperature. A comprehensive analysis is provided to illustrate the influence of flow parameters on wall shear stress and local Nusselt number, which are depicted through figures and tables. The study shows that the novel tetra‐HNF exhibits enhancements in blood flow when compared to nanofluids with a lower number of hybrids. Increasing the flow power index of non‐Newtonian Sisko model leads to improve convective heat transfer. Furthermore, parameters such as porosity, thermal radiation, and magnetic effects exhibit noticeable impacts on blood flow, temperature, and associated risks in constricted arteries.

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

Cited by 25 publications

References 48 publications

Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

Galerkin Finite Element Process for Entropy Production and Thermal Evaluation of Third-Grade Fluid Flow: A Thermal Case Study

MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model‐based analysis

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