Flow of a biomagnetic viscoelastic fluid: application to estimation of blood flow in arteries during electromagnetic hyperthermia, a therapeutic procedure for cancer treatment

Misra, J. C.; Sinha, A.; Shit, G. C.

doi:10.1007/s10483-010-1371-6

Cited by 67 publications

(35 citation statements)

References 35 publications

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“…[21]) to linearize the discretized equation. The numerical procedure have been presented by Misra and Shit [22] and Misra et al [23][24] in detail. The essential feature of this technique is that it is based on an iterative procedure with good stability and simple and tri-diagonal manipulation.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Shit

Haldar

2011

Appl. Math. Mech.-Engl. Ed.

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This paper investigates the effects of thermal radiation on the magnetohydrodynamic (MHD) flow and heat transfer over a nonlinear shrinking porous sheet. The surface velocity of the shrinking sheet and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The temperature dependent viscosity and the thermal conductivity are also assumed to vary as an inverse function and a linear function of the temperature, respectively. A generalized similarity transformation is used to reduce the governing partial differential equations to their nonlinear coupled ordinary differential equations, and is solved numerically by using a finite difference scheme. The numerical results concern with the velocity and temperature profiles as well as the local skin-friction coefficient and the rate of the heat transfer at the porous sheet for different values of several physical parameters of interest.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Shit

Haldar

2011

Appl. Math. Mech.-Engl. Ed.

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“…The effect is attained by overheating the cancerous tissues (Szasz, 2007) by means of electromagnetic radiation. Misra et al (2010) reported theoretical estimates of blood flow in arteries during the therapeutic procedure of electromagnetic hyperthermia used for treatment of cancer. A few important discussions are also available in that paper.…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Reddy¹,

Reddy²,

Suneetha³

2018

Frontiers in Heat and Mass Transfer

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Present work aims to investigate the blood stream in a permeable vessel in the presence of an external magnetic field with heat and mass transfer. The instability in the coupled flow and temperature fields is considered to be produced due to the time-dependent extending velocity and the surface temperature of the vessel. The non-uniform heat source/sink effects on a chemically responded blood stream and heat viscous. This study is of potential value in the clinical healing of cardiovascular disorders accompanied by accelerated circulation. The problem is treated mathematically by reducing it to a system of joined non-linear differential equations, which have been solved by utilizing similarity transformation and boundary layer approximation. The resultant non-linear coupled ordinary differential equations are solved numerically by utilizing the fourth order Runge-Kutta method with shooting technique. Computational results are gotten for the velocity, temperature, the skin-friction coefficient, the rate of heat transfer and rate of mass transfer in the vessel. The evaluated results are compared with another analytical study reported earlier in scientific literatures. The present investigation exposes that the heat transfer rate is upgraded as the value of the unsteadiness parameter increases, but it decreases for the increment of the space reliance parameter for heat source/sink.

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“…To solve this tri-diagonal system of equations, we have used the ''Tri-diagonal matrix algorithm'', usually referred as ''Thomas algorithm'' (cf. [47][48][49]). It may be mentioned here that instead of this, one could use Gauss elimination method.…”

Section: Heat Mass Transfer (2013) 49:617-628 621mentioning

confidence: 99%

“…Szasz [11]) by means of electromagnetic radiation. Misra et al [12] reported theoretical estimates of blood flow in arteries during the therapeutic procedure of electromagnetic hyperthermia used for cancer treatment. Some relevant useful discussions are also available in that paper.…”

Section: Introductionmentioning

confidence: 99%

Effect of thermal radiation on MHD flow of blood and heat transfer in a permeable capillary in stretching motion

Misra

Sinha

2013

Heat Mass Transfer

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In this paper, a theoretical analysis is presented for magnetohydrodynamic flow of blood in a capillary, its lumen being porous and wall permeable. The unsteadiness in the flow and temperature fields is caused by the timedependence of the stretching velocity and the surface temperature. Thermal radiation, velocity slip and thermal slip conditions are taken into account. In order to study the flow field as well as the temperature field, the problem is formulated as a boundary value problem consisting of a system of nonlinear coupled partial differential equations. The problem is analysed by using similarity transformation and boundary layer approximation. Solution of the problem is achieved by developing a suitable numerical method and using high speed computers. Computational results for the variation in velocity, temperature, skin-friction co-efficient and Nusselt number are presented in graphical/tabular form. Effects of different parameters are adequately discussed. Since the study takes care of thermal radiation in blood flow, the results reported here are likely to have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding/regulating blood flow and heat transfer in capillaries.

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Flow of a biomagnetic viscoelastic fluid: application to estimation of blood flow in arteries during electromagnetic hyperthermia, a therapeutic procedure for cancer treatment

Cited by 67 publications

References 35 publications

Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Effects of thermal radiation on MHD viscous fluid flow and heat transfer over nonlinear shrinking porous sheet

Magnetohydro Dynamic Flow of Blood in a Permeable Inclined Stretching Surface With Viscous Dissipation, Non-Uniform Heat Source/Sink and Chemical Reaction

Effect of thermal radiation on MHD flow of blood and heat transfer in a permeable capillary in stretching motion

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