Blood Flow, Slip, and Viscometry

Nubar, Yves

doi:10.1016/s0006-3495(71)86212-4

Cited by 68 publications

(29 citation statements)

References 12 publications

(3 reference statements)

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“…But the usual no-slip condition at the boundary must be changed by the slip condition (Ebart and Sparrow, 1965). Some authors (Brunn, 1975, Nubar, 1971 suggested the existence of a red blood cell slip at the vessel wall. Misra and Kar (1989) developed a momentum integral method to study the problem of blood vessel in the present of a stenosis by taking into consideration the slip velocity at the wall.…”

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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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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“…particulate fluids, although the motion is governed by Navier-Stokes equations, it is desirable that the no-slip condition at the boundary should be replaced by velocity-slip condition. Nubar [37] suggested the presence of a red cell (erythrocyte) slip at the vessel wall. Misra et al [38] conducted a study concerning blood flow through an arterial segment where they considered no-slip condition at the vessel wall.…”

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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“…Beavers and Joseph [31] were the first to investigate the fluid flow at the interface between a porous medium and fluid layer in an experimental study and proposed a slip boundary conditions at the porous interface. In biomedical engineering, when blood flows through an artery slip flow is evident from experimental observations [32,33]. The slip flows under different flow configurations have been studied in recent years [34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Impact of thermal radiation on MHD slip flow over a flat plate with variable fluid properties

Das

2011

Heat Mass Transfer

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The influence of partial slip, thermal radiation and temperature dependent fluid properties on the hydromagnetic fluid flow and heat transfer over a flat plate with convective surface heat flux at the boundary and nonuniform heat source/sink is studied. The transverse magnetic field is assumed as a function of the distance from the origin. Also it is assumed that the fluid viscosity and the thermal conductivity vary as an inverse function and linear function of temperature respectively. Using the similarity transformation, the governing system of nonlinear partial differential equations are transformed into similarity non-linear ordinary differential equations and are solved numerically using symbolic software MATHEMATICA 7.0. The numerical values obtained within the boundary layer for the dimensionless velocity, temperature, skin friction coefficient and the Nusselt number are presented through graphs and tables for several sets of values of the parameters. The effects of various physical parameters on the flow and heat transfer characteristics are discussed from the physical point of view.

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Blood Flow, Slip, and Viscometry

Cited by 68 publications

References 12 publications

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

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

Impact of thermal radiation on MHD slip flow over a flat plate with variable fluid properties

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