Flow of a Biomagnetic Viscoelastic Fluid:Application to Estimation of Blood Flow in Arteries During Electromagnetic Hyperthermia,a Therapeutic Procedure for Cancer Treatment

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

doi:10.3879/j.issn.1000-0887.2010.11.006

Volume 31 Issue 11

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J. C. Misra, A. Sinha, G. C. Shit. Flow of a Biomagnetic Viscoelastic Fluid:Application to Estimation of Blood Flow in Arteries During Electromagnetic Hyperthermia,a Therapeutic Procedure for Cancer Treatment[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1330-1343. doi: 10.3879/j.issn.1000-0887.2010.11.006

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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

doi: 10.3879/j.issn.1000-0887.2010.11.006

Siksha O Anusandhan University, Bhubaneswar-751030, India;

Received Date: 1900-01-01
Rev Recd Date: 2010-09-21
Publish Date: 2010-11-15

Abstract

Abstract

The theoretical investigation of a fundamental problem of flow of a biomagnetic fluid through a porous medium subjected to a magnetic field by using the principles of Biomagnetic Fluid Dynamics (BFD) was dealt with. The study pertains to a situation where magnetization of the fluid varies with temperature. The fluid was considered to be non-Newtonian,its flow being governed by the equation of a second-grade fluid,which takes into account the effect of fluid visco-elasticity. The walls of the channel were assumed to be stretchable,where the surface velocity was proportional to the longitudinal distance from the origin of coordinates. The problem was first reduced to that of solving a system of coupled nonlinear differential equations that involve seven parameters. Considering blood as a biomagnetic fluid and using the present analysis,an attempt had been made to compute some parameters of blood flow,by developing a suitable numerical method and by devising an appropriate finite difference scheme. The computational results were presented in graphical form and thereby some theoretical predictions were made in respect of the hemodynamical flow of blood in a hyperthermal state,under the action of a magnetic field. The results reported here clearly indicate that presence of a magnetic dipole bears the potential to affect the characteristics of blood flow in arteries to a significant extent during the therapeutic procedure of electromagnetic hyperthermia. The study should attract the attention of clinicians and the results should be useful to them in their treatment of cancer patients by the method of electromagnetic hyperthermia.
- biomagnetic fluid,
- blood,
- stretching walls,
- porous medium,
- electromagnetic hyperthermia

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References(41)

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