Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Islam, Saeed; Dawar, Abdullah; Shah, Zahir; Tariq, Adnan

doi:10.1177/16878140211030152

Cited by 27 publications

(13 citation statements)

References 35 publications

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“…The temperature of the cylinder surface and ambient fluid is assumed to be T w and T c respectively, where T w < T c . The magnetic field of intensity H, is generated by a magnetic dipole located below the sheet at steady distance c. Under the above assumptions the idea of [34] is explored and the continuity, momentum and energy equations in cylindrical coordinates take the following form: Under the above assumptions the idea of [34] is explored and the continuity, momentum and energy equations in cylindrical coordinates take the following form:…”

Section: Mathematical Flow Equations With Flow Geometrymentioning

confidence: 99%

“…The governing set of equations, i.e., momentum, energy equations are converted into a set of ordinary differential equations using the following similarity transformation with the help of [34]:…”

Section: Transformation Analysismentioning

confidence: 99%

“…Velocity slip parameter B = 0.5, 1 as in [46] 11. Unsteady parameter A = 0.1, 0.3, 0.5, 0.7, 1, 2, 3 as in [34] 12. Thermal conductivity parameter b = 1, 1.5, 2, 3 as in [53] Table 4.…”

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confidence: 99%

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Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

et al. 2022

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The study of biomagnetic fluid flow and heat transfer containing magnetic particles through an unsteady stretching/shrinking cylinder was numerically investigated in this manuscript. Biomagnetic fluid namely blood taken as base fluid and CoFe2O4 as magnetic particles. Where blood acts as an electrically conducting fluid along with magnetization/polarization. The main concentration is to study a time-dependent biomagnetic fluid flow with magnetic particles that passed through a two dimensional stretching/shrinking cylinder under the influence of thermal radiation, heat source and partial slip condition which has not been studied yet as far as best knowledge of authors. This model is consistent with the principles of magnetohydrodynamic and ferrohydrodynamic. The flow equations, such as momentum, energy which is described physically by a system of coupled, nonlinear partial differential equation with appropriate boundary conditions and converted into a nonlinear system of ordinary differential equations by using suitable similarity transformations. The resultant ODEs numerically solved by applying by applying an efficient numerical technique based on a common finite differencing method along with central differencing, tridiagonal matrix manipulation and an iterative procedure. The values assigned to the parameters are compatible with human body conditions. The numerous results concerning velocity, temperature and pressure field, as well as the skin friction and the rate of heat transfer, are presented for the parameters exhibiting physical significance, such as ferromagnetic interaction parameter, magnetic field parameter, volume fraction, unsteady parameter, curvature parameter, etc. The main numerical findings are that the fluid velocity is decreased as the ferromagnetic number is enhanced gradually in both stretching or shrinking cases whereas, the opposite behavior is found for the skin friction coefficient. The rate of heat transfer with ferromagnetic interaction parameter was also monitored and found that opposite behavior occurs for stretching and shrinking cases. Comparisons were made to check the accuracy of the present numerical results with published literature and found to be in excellent agreement. Hopefully, this proposed model will control the blood flow rate, as well as the rate of heat transfer, such as magnetic hyperthermia.

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Section: Mathematical Flow Equations With Flow Geometrymentioning

confidence: 99%

Section: Transformation Analysismentioning

confidence: 99%

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Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

et al. 2022

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“…They advised that the opposite behavior shows near the surface for curvature parameter, also temperature increase at a distance from the cylinder. MHD Maxwell fluid flow above a stretching cylinder is considered by 10 and concluded that the heat and concentration distribution vary for rising non-Newtonian parameters values.…”

Section: Introductionmentioning

confidence: 99%

Darcy–Forchheimer and Ohmic heating effects on GO-TiO₂ suspended cross nanofluid flow through stenosis artery

Rathore

Sandeep

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The antibacterial properties of graphene oxide and the anti-cancer effects of TiO2particles play a vital role in the drug delivery system. Mixing these nanoparticles in the blood by considering the complex rheological natured Sutterby model can maximize drug delivery results. A theoretical analysis is made to evaluate the impact of resistive and radiative heat on the graphene oxide (GO), and titanium dioxide (TiO2) suspended Sutterby blood flow through the stenosed artery. A mathematical model is developed and resolved numerically using the Keller-box approach. The Darcy–Forchheimer, heat convection, and hydromagnetic conditions are considered for physical relevance. The outcomes are obtained for nano and hybrid nano cases and explored with tabular and pictorial representations. It is found that the addition of the GO nanoparticles to the blood-TiO2 combination boosts the heat transmission without affecting the wall friction. This minimizes the external pressure on the blood flow.

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“…Subsequently, Christov [7] developed the model of Cattaneo, which is called the Cattaneo-Christov heat flux model. Numerous research works were conducted to analyze the impacts of Cattaneo-Christov heat flux [8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

Mohamed

El-Dabe

Abou-Zeid

et al. 2022

ARFMTS

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The current analytical study is concerned with studying the impact of Cattaneo-Christov heat flux of an incompressible flow which obeys Carreau nanofluid inside a symmetric channel in the existence of the porous medium. The impacts of couple stress, heat generation absorption, joule heating, couple stress viscous dissipation with Soret as well as Dufour numbers are all presumed. Long wavelength and law Reynold’s number approximations are utilized for solving the governing system of equations. Furthermore, the traditional perturbation method together with the homotopy perturbation technique (HPM) are applied to obtain the resultant solutions of these equations. The different physical parameters on velocity, temperature and nanoparticles concentration distributions are illustrated through a set of graphs. It is found that the elevate in the slip velocity parameter dwindle the velocity. Meanwhile, the rise in the value of thermal relaxation time parameter led to decay the temperature of the fluid. Over and above, enhancing the nano Biot number value caused an enrichment in the concentration of nanofluid.

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Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Cited by 27 publications

References 35 publications

Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

Darcy–Forchheimer and Ohmic heating effects on GO-TiO₂ suspended cross nanofluid flow through stenosis artery

Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

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Cattaneo–Christov theory for a time-dependent magnetohydrodynamic Maxwell fluid flow through a stretching cylinder

Cited by 27 publications

References 35 publications

Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

Biomagnetic Flow with CoFe2O4 Magnetic Particles through an Unsteady Stretching/Shrinking Cylinder

Darcy–Forchheimer and Ohmic heating effects on GO-TiO2 suspended cross nanofluid flow through stenosis artery

Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

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Darcy–Forchheimer and Ohmic heating effects on GO-TiO₂ suspended cross nanofluid flow through stenosis artery