Influence of the nanoparticles and uniform magnetic field on the slip blood flows in arterial vessels

Seikh, Asiful H.; Akinshilo, Akinbowale T.; Taheri, Mohammad Hasan; Rahimi‐Gorji, Mohammad; Alharthi, Nabeel H.; Khan, İlyas; Khan, Amir

doi:10.1088/1402-4896/ab3490

Cited by 55 publications

(11 citation statements)

References 30 publications

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“…where µ is the viscosity; ω 1 is the ratio of the relaxation to retardation time; ω 2 represents the delay time; n f denotes the nanofluid; χ is the shear rate and ( ) denotes the differentiation with the time. The proposed models against continuity, momentum, and energy equations in two-dimensions are defined as [41][42][43]:…”

Section: Modeling Of Two-dimensional Intra-uterine Nanofluid Flowmentioning

confidence: 99%

Biologically Inspired Intra-Uterine Nanofluid Flow under the Suspension of Magnetized Gold (Au) Nanoparticles: Applications in Nanomedicine

Bhatti¹

2021

Inventions

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The present analysis deals with the intra-uterine nanofluid flow of a Jeffrey fluid through a finite asymmetric channel filled with gold nanoparticles. Gold nanoparticles are helpful in biomedicine to treat various diseases and locate blood flow motion through tiny vessels. The governing fluid is electrically conducting due to the presence of an extrinsic magnetic field while the magnetic Reynolds number is small; therefore, the induced magnetic effects are neglected. The thermal radiation and viscous dissipation effects are also contemplated with the energy equation. The lubrication approach has been utilized by taking a long wavelength and ignoring the inertial forces. The formulated equations are coupled and nonlinear; therefore, a perturbation approach is used to derive the series results. The results are obtained up to the second-order and plotted against various parameters for velocity mechanism, trapping profile, pressure rise, and temperature profile.

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Section: Modeling Of Two-dimensional Intra-uterine Nanofluid Flowmentioning

confidence: 99%

Biologically Inspired Intra-Uterine Nanofluid Flow under the Suspension of Magnetized Gold (Au) Nanoparticles: Applications in Nanomedicine

Bhatti¹

2021

Inventions

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“…Hence, p is the function of x and y; therefore, the integral constant (p * (x)) is the function of x. By differentiating equation (7) with respect to x, we have And inserting equation ( 8) into equation ( 4) yields…”

Section: Governing Equationsmentioning

confidence: 99%

“…MHD has many industrial applications include mass transfer in reactors and dryers, reactor cooling, industrial dehumidification, MHD pumps, and generators. [5][6][7][8][9] Len and Khodadadi 10 investigated heat transfer and flow in a porous channel with permeable walls. They used a similarity solution to transform the governing equations into ordinary differential equations (ODEs).…”

Section: Introductionmentioning

confidence: 99%

Impact of Angular Magnetic Field and Convective Boundary Condition on Heat Transfer of Newtonian Fluid Flow in a Channel

Saeidi

Bagheri

Ghamati

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, the heat transfer of a laminar, steady, fully developed, and Newtonian fluid flow in a channel is investigated. The main goal of the present study is solving the hydromagnetic Newtonian fluid flow and heat transfer inside a channel with the angular magnetic field and convective boundary conditions on the walls. As a novelty, the effect of thermal diffusion and advection term the walls and Joule heating in the energy equation has been considered. The governing equations include the continuity, momentum, and energy are presented, and considering the assumptions are simplified. Afterward, employing the dimensionless parameters, the governing equations are transformed into dimensionless forms. The exact solution is provided for the momentum equation. For solving the full energy equation, the analytical collocation method (CM) is conducted. The results are validated using the 4th order Runge-Kutta method. The results demonstrated that the dimensionless velocity, the bulk temperature inside the channel, and the channel wall's heat transfer rate decline when the Hartmann number and the magnetic field angle increase. Since the Prandtl and Eckert numbers reduce, the dimensionless temperature becomes more uniform, and the heat transfer rate on the channel wall decreases. Since the Biot number augments, the dimensionless temperature inside the channel reduces, but the channel wall's heat transfer rate first increases and then reduces.

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“…Thus plenty of researches has been presented during the last two decades. [12][13][14][15][16][17][18][19][20][21] An investigation on unsteady mixed convection in a vertical porous plate with an induced magnetic field is studied by Khan et al 22 numerically. The effect of heat generation, thermal radiation, chemical reaction, induced magnetic field, time-dependent suction velocity, thermal diffusion, constant heat, and mass fluxes were examined by numerical shooting method 6th order Runge-Kutta.…”

Section: Introductionmentioning

confidence: 99%

“…Thus plenty of researches has been presented during the last two decades. 12–21…”

Section: Introductionmentioning

confidence: 99%

Heat transfer of water–graphene oxide nanofluid magnetohydrodynamic flow through a channel in the presence of the induced magnetic field

Askari

Salmani

Taheri

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In the present study, the heat transfer of nanofluid magnetohydrodynamic (MHD) fluid flow through a channel with radiation and viscous dissipation effect is considered. Also, the induced magnetic field is considered. The main aim of the study is to obtain the impact of the induced magnetic field, nanoparticle volume fraction, non-electrically conducting, and conducting walls on the MHD nanofluid flow and heat transfer. Hence, the governing equations include momentum, energy, and induced magnetic field equations that are transformed into non-dimensional forms. The analytical least square method (LSM) and numerical finite element method (FEM) effectively conducted for solving the problem. The results of LSM and FEM are compared, and it is observed that there is an excellent agreement. The effect of several parameters such as Hartmann number, suction/injection parameter, magnetic Prandtl number, radiation parameter, Eckert number, and nanoparticle volume fraction are demonstrated and discussed. It can be concluded that the augmentation of the Hartmann number reduces the value of velocity by up to 50%, and the magnetic Prandtl number augmentation reduces the non-dimensional velocity value of about 10% but increases the induced current density value more than twice. Moreover, the increase of radiation parameter, Eckert number, and nanoparticle volume fraction enhance the heat transfer by 20–50%. Besides, the absolute value of the induced magnetic field increases when the Hartmann number rises. Further, the injection parameter decreases the value of velocity and induced magnetic field by 40–50%; whereas, the value of temperature increases by about 40%, and the induced current density increases by 5–7 times. The suction parameter has the contrary effect.

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Influence of the nanoparticles and uniform magnetic field on the slip blood flows in arterial vessels

Cited by 55 publications

References 30 publications

Biologically Inspired Intra-Uterine Nanofluid Flow under the Suspension of Magnetized Gold (Au) Nanoparticles: Applications in Nanomedicine

Biologically Inspired Intra-Uterine Nanofluid Flow under the Suspension of Magnetized Gold (Au) Nanoparticles: Applications in Nanomedicine

Impact of Angular Magnetic Field and Convective Boundary Condition on Heat Transfer of Newtonian Fluid Flow in a Channel

Heat transfer of water–graphene oxide nanofluid magnetohydrodynamic flow through a channel in the presence of the induced magnetic field

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