Laser Effects on Bioheat Transfer with Non-Newtonian Hybird Nanofluid Flow: Analytical Method with Finite Sine and Laplace Transforms

Elelamy, Asmaa F.

doi:10.1166/jon.2023.2011

Cited by 2 publications

(1 citation statement)

References 33 publications

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“…For many years, there has been an enormous amount of research concerning various biomedical applications of magnetic flows, i.e., magnetohydrodynamics (MHD) [1,2] and ferrohydrodynamics (FHD) [3,4]. A relatively new area of research combining the principles of MHD and FHD is biomagnetic fluid dynamics (BFD).…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic and Ferrohydrodynamic Fluid Flow Using the Finite Volume Method

Chrimatopoulos,

Tzirtzilakis,

Xenos

2023

Fluids

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Many problems in fluid mechanics describe the change in the flow under the effect of electromagnetic forces. The present study explores the behaviour of an electric conducting, Newtonian fluid flow applying the magnetohydrodynamics (MHD) and ferrohydrodynamics (FHD) principles. The physical problems for such flows are formulated by the Navier–Stokes equations with the conservation of mass and energy equations, which constitute a coupled non-linear system of partial differential equations subject to analogous boundary conditions. The numerical solution of such physical problems is not a trivial task due to the electromagnetic forces which may cause severe disturbances in the flow field. In the present study, a numerical algorithm based on a finite volume method is developed for the solution of such problems. The basic characteristics of the method are, the set of equations is solved using a simultaneous direct approach, the discretization is achieved using the finite volume method, and the solution is attained solving an implicit non-linear system of algebraic equations with intense source terms created by the non-uniform magnetic field. For the validation of the overall algorithm, comparisons are made with previously published results concerning MHD and FHD flows. The advantages of the proposed methodology are that it is direct and the governing equations are not manipulated like other methods such as the stream function vorticity formulation. Moreover, it is relatively easily extended for the study of three-dimensional problems. This study examines the Hartmann flow and the fluid flow with FHD principles, that formulate MHD and FHD flows, respectively. The major component of the Hartmann flow is the Hartmann number, which increases in value the stronger the Lorentz forces are, thus the fluid decelerates. In the case of FHD fluid flow, the major finding is the creation of vortices close to the external magnetic field source, and the stronger the magnetic field of the source, the larger the vortices are.

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Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic and Ferrohydrodynamic Fluid Flow Using the Finite Volume Method

Chrimatopoulos,

Tzirtzilakis,

Xenos

2023

Fluids

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Effects of Newtonian Heating on MHD Jeffrey Hybrid Nanofluid Flow via Porous Medium

Noranuar,

Mohd Zin,

Mohamad

et al. 2024

J. Adv. Res. Numer. Heat Trans.

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In recent years, hybrid nanoparticles have gained significant attention for their ability to enhance thermal conductivity in various fluid systems, making them effective heat transport catalysts. Despite advancements in thermal fluid technology, a gap remains in understanding how hybrid nanoparticles interact within non-Newtonian Jeffrey fluid systems, particularly under complex boundary conditions like Newtonian heating. The present study aims to shed light on the effect of hybrid nanoparticles (alumina and copper) incorporated into a Jeffrey fluid model on flow and heat transport, considering them as heat transport catalyst and subject to Newtonian heating to optimize thermal efficiency. An exponentially accelerated plate is used to induce the fluid flow, taking into account the effects of porosity, MHD, and thermal radiation. The examined fluid exhibits an unsteady one-dimensional flow, formulated by deriving partial differential equations, which are subsequently transformed into ordinary differential equations using suitable non-dimensional variables and the Laplace transformation. This research distinguishes itself by presenting a novel mathematical model for MHD Jeffrey hybrid nanofluid, accounting for porosity and Newtonian heating effects. The inverse of Laplace is used to generate the exact solutions for velocity and temperature profiles, which is not explored in existing literature. Graphical representations are generated using Mathcad, depicting the velocity and temperature distributions. A comparison with prior study from the literature demonstrates strong agreement between our findings and theirs. The findings indicate that the velocity and temperature profiles of the hybrid nanofluid are higher with Newtonian heating than without it. Additionally, an increase in the Grashof number, radiation, acceleration, and porosity parameters also leads to an enhanced velocity profile.

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Laser Effects on Bioheat Transfer with Non-Newtonian Hybird Nanofluid Flow: Analytical Method with Finite Sine and Laplace Transforms

Cited by 2 publications

References 33 publications

Magnetohydrodynamic and Ferrohydrodynamic Fluid Flow Using the Finite Volume Method

Magnetohydrodynamic and Ferrohydrodynamic Fluid Flow Using the Finite Volume Method

Effects of Newtonian Heating on MHD Jeffrey Hybrid Nanofluid Flow via Porous Medium

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