Numerical study of flow and heat transfer during oscillatory blood flow in diseased arteries in presence of magnetic fields

Sinha, A.; Misra, J. C.

doi:10.1007/s10483-012-1577-8

Cited by 22 publications

(13 citation statements)

References 35 publications

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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%

“…On the basis of their experimental studies, Valvano et al [50] and Chato [51] reported the following data for human blood at a temperature T = 310°K: l ¼ 3:2 Â 10 3 kg=ms; c p ¼ 14:65 J=kg K and k ¼ 2:2 Â 10 À3 J=ms K Using these data, we find that the value of the Prandtl number Pr ¼ lc p k for human blood is 21. Keeping this in view and employing the data used by Ishak et al [45], Hayat et al [46], Sinha and Misra [49] and Makinde and Osalusi [52], we performed the computation for the following spectrum of values of different parameters: Figure 13 shows that the results do not change, if we further increase the number of grid points. Figure 14 establishes the validity of our results.…”

Section: Computation Of Some Theoretical Estimates and Related Discusmentioning

confidence: 99%

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

confidence: 99%

Section: Computation Of Some Theoretical Estimates and Related Discusmentioning

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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“…The effects of the governing parameters namely, the Reynolds number, the rheological parameter, the pressure gradient, the Darcy parameter, the Forchheimer quadratic drag parameter, the hydromagnetic parameter, the Schmidt number, the chemical reaction parameter and the Prandtl number, are discussed. In literature, many researchers (for example, Sinha and Misra 15 & Misra et al 16 ) have studied the steady flow through parallel plate channel to model the uniform blood flow through arteries. In some diseases, a porous structure is formed inside the arteries, by fatty substances (cholesterol and blood clots), as mentioned by Ritman and Lerman, 17 and Khaled and Vafai.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of MHD pulsatile flow of a biofluid in a channel

2015

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The purpose of this paper is to numerically study the interaction of an external magnetic field with the flow of a biofluid through a Darcy-Forchhmeir porous channel, due to an oscillatory pressure gradient, in the presence of wall transpiration as well as chemical reaction considerations. We have noticed that if the Reynolds number of the wall transpiration flow is increased, the average (or maximum) velocity of the main flow direction is raised. Similar effect has also been observed for the rheological parameter and the Darcy parameter, whereas an opposite trend has been noted for both the Forchheimer quadratic drag parameter and the magnetic parameter. Further, an increase in the Reynolds number results in straightening the concentration profile, thus making it an almost linear function of the dimensionless spatial variable.

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“…Similarly, different investigators conjointly turned up a detailed association between coronary flow reserve assessed with intracoronary Christian Johann Doppler probes and purpleheart stenosis by quantitative arthrography.A. Sinha and J. C. Mishra [3] studied the model of magnetic fields and perceived the numerical study of flow and heat transfer during an unhealthy artery throughout oscillating blood flow. During this model, they numerically investigated the results of heat transfer as well as mass transfer under unsteady hydro dynamic flow in a vessel once the lumen of the vessel has rapt as a porous structure.…”

Section: Introductionmentioning

confidence: 99%

Observations of Blood Flow in an Inclined Improved Generalized Multiple ConstrictedArtery Influenced by a Magnetic Field

Pradhan¹,

Gupta²,

Garg³

2019

IJITEE

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This mathematically designed model explores the facts about the velocity of blood flow in an inclined artery as well as in the presence of a magnetic field. This model conjointly reveals regarding core velocity, shear stress on the wall of artery and volumetric rate of flow under constricted condition. Here we are describing blood as Herschel-Bulkley fluid through an inclined artery which is multiple stenosed at equally spaced and distanced. By using appropriate boundary conditions, analytic expressions for these flow characteristics are administered. The results are shown numerically and diagrammatically still as compared with the prevailing results. This data could also be valuable within the progress of the most recent diagnosing tools for solidifying hardening of the arteries.

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Numerical study of flow and heat transfer during oscillatory blood flow in diseased arteries in presence of magnetic fields

Cited by 22 publications

References 35 publications

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

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

Numerical simulation of MHD pulsatile flow of a biofluid in a channel

Observations of Blood Flow in an Inclined Improved Generalized Multiple ConstrictedArtery Influenced by a Magnetic Field

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