Flow and heat transfer of a MHD viscoelastic fluid in a channel with stretching walls: Some applications to haemodynamics

Misra, J. C.; Shit, G. C.; Rath, H. J.

doi:10.1016/j.compfluid.2006.09.005

Cited by 96 publications

(50 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cortell (2007) discussed mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet. Misra et al (2008) presented the flow and heat transfer of a MHD viscoelastic fluid in a channel with stretching walls, with applications to haemodynamics. Hayat et al (2012) presented mixed convection three-dimensional flow of an upper-convected Maxwell (UCM) fluid under magnetic field, thermal-diffusion and diffusion-thermo effects.…”

Section: Introductionmentioning

confidence: 99%

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Awais

Hayat

Nawaz

et al. 2015

Braz. J. Chem. Eng.

View full text Add to dashboard Cite

-In this communication we have investigated the phenomenon of Newtonian heating under the application of a uniform magnetic field when thermal-diffusion "Soret" and diffusion-thermo "Dufour" effects appear in the energy and concentration equations in a flow of a Jeffery fluid. The flow is induced by the stretching of a disk in the radial direction. The solutions of the nonlinear equations governing the velocity, temperature and concentration profiles are solved analytically "using HAM" and graphical results for the resulting parameters are displayed and discussed. Numerical values of local Nusselt and Sherwood numbers for different values of physical parameters are computed and shown. It is shown that the magnetic field retards the flow, whereas Newtonian heating acts as a boosting agent which enhances the flow. It is also noted that the combined Soret and Dufour effects on the temperature and concentration profiles are opposite.

show abstract

Section: Introductionmentioning

confidence: 99%

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Awais

Hayat

Nawaz

et al. 2015

Braz. J. Chem. Eng.

View full text Add to dashboard Cite

show abstract

“…Misra and Shit [41] developed a mathematical model of the flow of a biomagnetic viscoelastic fluid over a stretching sheet. Misra and Shit [42] also investigated the flow and heat transfer of an MHD viscoelastic fluid in a channel with stretching walls. All these investigations carried out by Misra and his research group have been recognized as benchmark contributions in the field of physiological fluid dynamics.…”

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

View full text Add to dashboard Cite

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.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Flow and heat transfer of a MHD viscoelastic fluid in a channel with stretching walls: Some applications to haemodynamics

Cited by 96 publications

References 20 publications

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

Newtonian Heating, Thermal-Diffusion and Diffusion-Thermo Effects in an Axisymmetric Flow of a Jeffery Fluid Over a Stretching Surface

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

Contact Info

Product

Resources

About