Unsteady MHD blood flow through porous medium in a parallel plate channel
01 Nov 2017-Vol. 263, Iss: 6, pp 062020
TL;DR: In this paper, the authors analyzed heat and mass transfer effects on unsteady blood flow through a parallel plate channel in a saturated porous medium in the presence of a transverse magnetic field with thermal radiation.
Abstract: In this study, we have analyzed heat and mass transfer effects on unsteady blood flow through parallel plate channel in a saturated porous medium in the presence of a transverse magnetic field with thermal radiation. The governing higher order nonlinear PDE'S are converted to dimensionless equations using dimensionless variables. The dimensionless equations are then solved analytically using boundary conditions by choosing the axial flow transport and the fields of concentration and temperature apart from the normal velocity as a function of y and t. The effects of different pertinent parameters appeared in this model viz thermal radiation, Prandtl number, Heat source parameter, Hartmann number, Permeability parameter, Decay parameter on axial flow transport and the normal velocity are analyzed in detail.
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TL;DR: Dey et al. as discussed by the authors presented a peer review history of Bagis and Bagis' work in Thessaloniki, Greece, and presented a review history for their work.
Abstract: DOI: 10.9734/ARJOM/2020/v16i930221 Editor(s): (1) Dr. Nikolaos D. Bagis, Aristotle University of Thessaloniki, Greece. Reviewers: (1) Debasish Dey, Dibrugarh University, India. (2) Bala Siddulu Malga, Gandhi Institute of Technology and Management, India. (3) Sandeep S. Joshi, Shri Ramdeobaba College of Engineering and Management, India. Complete Peer review History: http://www.sdiarticle4.com/review-history/60607
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Additional excerpts
...Tripathy and Kumar [7] used a mathematical model to show how blood will flow through an artery inclined with a magnetic field that is also inclined with observation that heat and mass transfer shows an effect on two phase pulsatile blood flow through a narrow stenosis artery....
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...Latha and Kumar [11] did a research that studied MHD unsteady flow of blood through a medium that is porous in a plate channel that is parallel and Vincent et al. [12] did a study of velocity profile for unsteady blood flow through a tube that is circular and inclined in the presence of a magnetic field....
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...Latha and Kumar [11] did a research that studied MHD unsteady flow of blood through a medium that is porous in a plate channel that is parallel and Vincent et al....
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...The dimensionless form of the corresponding boundary conditions [6,11] are: = , = = − 1 = 0, = 0, = 1 (9) The solutions of equations (7) – (10) will become ( , ) = ( ) (10) ( , ) = ( ) (11) Substitute equation (10) – (11) into equation (6) – (8)...
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TL;DR: In this article, an analysis of chemical reaction, heat source and thermal radiation effects on unsteady blood flow through a plate channel that is parallel and horizontal with an inclined magnetic field in a medium that is porous and saturated is considered.
Abstract: In this paper, an analysis of chemical reaction, heat source and thermal radiation effects on unsteady blood flow through a plate channel that is parallel and horizontal with an inclined magnetic field in a medium that is porous and saturated is considered. The governing equation that is non-linear higher partial differential equation are converted to ordinary differential equations using dimensionless variables to dimensionless equations, which is analytically solved with applied boundary conditions using velocity, concentration and temperature for the functions of y and t. Different parameters had effects on the blood flow temperature and concentration with the results discussed and illustrated graphically.
1 citations
Cites background from "Unsteady MHD blood flow through por..."
...Latha [9] did a study on MHD unsteady blood flow through porous medium in a parallel plate channel, velocity profile for unsteady blood flow through a circular tube inclined in the presence of a magnetic field was studied by Vincent [13]....
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TL;DR: In this article , an inclined magnetic field has been applied to the parallel plates filed with porous substance and the partial differential equations which are governing the flow field have been resolved numerically by applying non-dimensional parameters.
Abstract: A Mathematical model for MHD flow of blood between a parallel plate channel with the effect of heat transfer and mass transfer has been investigated. An inclined magnetic field has been applied to the parallel plates filed with porous substance. The partial differential equations which are governing the flow field have been resolved numerically by applying non-dimensional parameters. The effect of inclination of magnetic field on the parallel plate channel has been analyzed, furthermore the effect of Prandtl number, thermal radiation, heat source parameter, chemical reaction parameter on the flow of blood has been studied in detail. The numerical results are analyzed and are represented graphically in the form of velocity profile, temperature profile and concentration profile. Moreover, the velocity of blood, temperature profile and concentration profile is adapting a wavy pattern as the various parameters vary.
HIGHLIGHTS
Heat and Mass transfer in hydro dynamical and biological systems is relevant in lots ofdiagnostic and coronary heart related issues that contains the changes in temperature hence this study can be of greater importance
This study analyses the effect of Inclination of magetic field and heat source parameter on the flow of blood through parallel plate channel which can be utilised in the field of medical science
Maximum emphasis is given on the blood flow with the impact of different parameters and how it behaves under the influence of these forces hence providing a pathway to deal with many deadly heart related diseases
GRAPHICAL ABSTRACT
References
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TL;DR: The present study investigates the effects of heat and mass transfer on peristaltic transport in a porous space with compliant walls under long-wavelength and low-Reynolds number approximations.
309 citations
305 citations
TL;DR: In this paper, the peristaltic flow of Jeffrey fluid in an asymmetric channel is studied under long wavelength and low Reynolds number assumptions, where the fluid is electrically conducting by a transverse magnetic field.
Abstract: The peristaltic flow of a Jeffrey fluid in an asymmetric channel is studied under long wavelength and low Reynolds number assumptions. The fluid is electrically conducting by a transverse magnetic field. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The expressions for stream function, axial velocity and axial pressure gradient have been obtained. The effects of various emerging parameters on the flow characteristics are shown and discussed with the help of graphs. The pumping characteristics, axial pressure gradient and trapping phenomenon have been studied. Comparison of various wave forms (namely sinusoidal, triangular, square and trapezoidal) on the flow is discussed.
285 citations
TL;DR: The effect of a magnetic field on peristaltic transport of blood in a non-uniform two-dimensional channels has been investigated under zero Reynolds number with long wavelength approximation and it is found that the pressure rise decreases as the couple-stress fluid parameter @c increases and increases as the Hartmann number M increases.
248 citations
TL;DR: The results for velocity, temperature, stream function and heat transfer coefficient obtained in the analysis have been evaluated numerically and discussed briefly and the numerical result shows that more trapped bolus appears with increasing Knudsen number.
226 citations