Magnetic field effect on heat transfer and fluid flow characteristics of blood flow in multi-stenosis arteries

Tashtoush, Bourhan; Magableh, Ahmad

doi:10.1007/s00231-007-0251-x

Cited by 66 publications

(40 citation statements)

References 13 publications

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“…The properties of human blood as well as blood vessels and the magnetic field effect were the subjects of interest for several researchers [9][10][11][12]. Very recently, Tashtoush and Magableh [13] considered numerically the influence of a magnetic field on the fluid flow characteristics of blood flow in multistenosis arteries and reported an increase in the skin friction factor. The present work aims to investigate the problem in a pipe.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

2011

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The influence of a magnetic field on the skin friction factor of steady fully-developed laminar flow through a pipe was studied experimentally. A mathematical model was introduced and a finite difference scheme used to solve the governing equations in terms of vorticity-stream function. The model predictions agree favourably with experimental results. It is observed that the pressure drop varies in proportion to the square of the product of the magnetic field and the sine of the magnetic field angle. Also, the pressure drop is proportional to the flow rate. This situation is similar to what applies in the absence of a magnetic field. It is found that a transverse magnetic field changes the axial velocity profile from the parabolic to a relatively flat shape. At first, the radial velocity rises more rapidly and then gradually decreases along the pipe until falling to zero. A numerical correlation can be written for the considerable distance required for the new axial velocity profile to establish. Owing to the changes taking place in the axial velocity profile, it exhibits a higher skin friction factor. The new axial velocity profile asymptotically approaches its limit as the Hartmann number becomes large.

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Section: Introductionmentioning

confidence: 99%

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

2011

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“…Using exposure to moderate and strong SMFs (≥200 mT) in the presence of electrical currents, the experimental and theoretical validation of the magnetohydrodynamic (MHD) effects of SMFs were investigated in an electrolyte solution (electric currents from electrodes) [Leventis and Gao, 2001; Hinds et al, 2001a, b; Xiang and Bau, 2003; Uhlemann et al, 2004, 2005; Weier et al, 2007; Koza et al, 2008] and blood flow (electric currents from fast moving ions) [Kinouchi et al, 1996; Tzirtzilakis, 2005; Gupta et al, 2008; Tashtoush and Magableh, 2008; Mustapha et al, 2009; Kainz et al, 2010]. Furthermore, non‐equilibrium fluctuations in micro‐MHD effects derived from the Lorentz force acting on moving charged particles have recently been discussed [Aogaki et al, 2010].…”

Section: Discussionmentioning

confidence: 99%

Modulation of the shape and speed of a chemical wave in an unstirred Belousov–Zhabotinsky reaction by a rotating magnet

Okano

Kitahata

2012

Bioelectromagnetics

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The objective of this study was to observe whether a rotating magnetic field (RMF) could change the anomalous chemical wave propagation induced by a moderate-intensity gradient static magnetic field (SMF) in an unstirred Belousov-Zhabotinsky (BZ) reaction. The application of the SMF (maximum magnetic flux density = 0.22 T, maximum magnetic flux density gradient = 25.5 T/m, and peak magnetic force product (flux density × gradient) = 4 T(2) /m) accelerated the propagation velocity in a two-dimensional pattern. Characteristic anomalous patterns of the wavefront shape were generated and the patterns were dependent on the SMF distribution. The deformation and increase in the propagation velocity were diminished by the application of an RMF at a rotation rate of 1 rpm for a few minutes. Numerical simulation by means of the time-averaged value of the magnetic flux density gradient or the MF gradient force over one rotation partially supported the experimental observations. These considerations suggest that RMF exposure modulates the chemical wave propagation and that the degree of modulation could be, at least in part, dependent on the time-averaged MF distribution over one rotation. Bioelectromagnetics 34:220-230, 2013. © 2012 Wiley Periodicals, Inc.

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“…Very recently, Abdelkhalek [9] investigated the problem using a perturbation technique and reported that the imposed magnetic field diminishes the wall shear and wall heat transfer. For laminar pipe flow, the literature regarding flow and heat transfer characteristics with magnetic fields are relatively scarce [10]. The present work aims to investigate the effect of magnetic field on laminar heat transfer in a pipe.…”

Section: Introductionmentioning

confidence: 99%

Magnetic field effect on laminar heat transfer in a pipe for thermal entry region

2011

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The influence of a transverse magnetic field on the local heat transfer of an electrically-conducting laminar fluid flow with high Prandtl number through a pipe was studied experimentally. Experiments indicated an increase in the local Nusselt number. The coupled set of the equations of motion and the energy equation including the viscous and Joule dissipation terms becomes non-linear and is solved numerically using a finite difference scheme. Favorable comparisons with experimental results confirm the correctness of the numerical results. It is found that the influence of magnetic field can be diminished by reducing the angle between the flow direction and the direction of magnetic field. The wall temperature reduces as the value of Hartmann number increases and the reduction rate of the wall temperature decreases as the value of Hartmann number exceeds a certain value. The average Nusselt number asymptotically approaches its limit as the Hartmann number becomes larger. Also, curve fitting can be employed to derive an equation for the average Nusselt number as a function of the Hartmann number. This equation is similar to the Sieder-Tate equation. It is observed that increasing the Hartmann number has no considerable effect on the thermal boundary layer thickness but decreases the temperature of fluid layers inside the boundary layer.

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Magnetic field effect on heat transfer and fluid flow characteristics of blood flow in multi-stenosis arteries

Cited by 66 publications

References 13 publications

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

Magnetic field effect on fluid flow characteristics in a pipe for laminar flow

Modulation of the shape and speed of a chemical wave in an unstirred Belousov–Zhabotinsky reaction by a rotating magnet

Magnetic field effect on laminar heat transfer in a pipe for thermal entry region

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